Explore every episode of the podcast Patrick Boyle

What is Futures Margin? - What Is It? How Does It Work?These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleMargin is a critical concept for those trading futures and derivatives in all asset classes. Futures margin is a good-faith deposit or an amount of capital one needs to post or deposit to control a futures contract. The margin is a down payment on the full contract value of a futures contract. Futures exchanges determine and set futures margin rates. At times, brokerage companies will add an extra premium to the minimum exchange margin rate to lower risk exposure. The margin is set based on the risk of market volatility. When market volatility moves higher in a futures market margin rates rise. When trading stocks, there is a simpler margin arrangement than in the futures market. The equity market allows participants to trade on up to 50% margin. Therefore, one can buy or sell up to $100,000 worth of stock for $50,000.Margin Rate for Future Contracts In the world of futures contracts, the margin rate is much lower. In a typical futures contract, the margin rate varies between 5 and 15% of the total contract value. Initial Futures Margin is the amount of money that is required to open a buy or sell position on a futures contract.Initial margin is original margin, the amount posted when the original trade takes place.Margin Maintenance or Variation MarginMargin Maintenance is the amount of money necessary when a loss on a futures position requires one to allocate more funds to return the margin to the initial or original margin level. Closing or liquidating a position eliminates the margin call requirement. Learn more about your ad choices. Visit megaphone.fm/adchoices

What is Intrinsic value and Time Value of Financial Options?, In The Money, At The Money, Out Of The MoneyThese classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleThe price of an option is made up of a combination of intrinsic value and time value.The intrinsic value of an option is the value of exercising the option right now. If the price of the underlying stock is above a call option strike price, the option has a positive monetary value, and is referred to as being in-the-money. If the underlying stock is priced cheaper than the call option's strike price, the call option is referred to as being out-of-the-money. If an option is out-of-the-money at expiration, its holder simply allows the option to expire worthless. This is because a rational investor would choose to buy the underlying stock at market rather than exercise an out-of-the-money call option to buy the same stock at a higher-than-market price. For the same reasons, a put option is in-the-money if it allows the purchase of the underlying at a market price below the strike price of the put option. A put option is out-of-the-money if the underlying's spot price is higher than the strike price. The time value of an option is the premium a rational investor would pay over its current exercise value (intrinsic value), based on the probability it will increase in value before expiry. Learn more about your ad choices. Visit megaphone.fm/adchoices

What Are Financial Derivatives?A Video Explaining what financial derivatives are, who trades them and why? Follow along using the book https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/In this video we will learn who issues derivatives, are they a zero sum game and what are the various underlyings. We will learn a little bit about futures options swaps, credit derivatives etc. We will learn the difference between hedgers and speculatorsFollow me on Twitter here: https://twitter.com/PatrickEBoyle Learn more about your ad choices. Visit megaphone.fm/adchoices

Order Types Used by Traders and Investors - Market Order - Limit Orders - Stop OrdersThese classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleIf you are buying or selling financial products, when you use a market order, you are essentially just requesting the transaction to go through at the next available price. Limit orders are another order type but they limit the price at which the stock is bought or sold. You can place a limit order so that it will buy below a set price or sell above a set price. The main downside of a limit order is that the trade may not go through if the price never gets to the limit you have set. You therefore need to keep on top of your limit orders to ensure it does get bought or sold.The stop order orders the purchase or sale of a stock once it’s reached a certain price. Buy stop orders are put above the current market price and a sell stop order below the current price, with the potential benefit of reducing your loss or protecting your profits.You can also use a stop limit order, which releases a limit order once the stop price has been triggered. Learn more about your ad choices. Visit megaphone.fm/adchoices

Ad: 🔒Remove your personal information from the web at https://joindeleteme.com/BOYLE and use code BOYLE for 20% offAre Britain’s millionaires really fleeing the country—or is the “exodus” just a statistical mirage?This video digs into the numbers behind the headlines, from the much-quoted Henley & Partners migration report to the real impact of the UK’s non-dom reforms. We’ll look at what’s actually driving high earners to consider leaving, how tax policy shapes behavior, and why trust in government and value for money matter just as much as the top rate.Along the way, we’ll separate myth from reality, compare the UK’s approach to countries like Sweden and Switzerland, and ask what history can teach us about taxing globally mobile wealth.If you want to understand the real story behind the millionaire migration debate—and what it means for Britain’s future—watch now.Further reading:Tax Policy Associates - Why the rich paid less tax in the 1970s – despite 98% tax rates: https://taxpolicy.org.uk/2025/05/08/tax-rich-1970s-loopholes/Tax Policy Associates - Are Henley & Partners’ millionaire‑migration reports fabricated?: https://taxpolicy.org.uk/2025/07/27/henley-partners-millionaire-migration-report-analysis/Patrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

What is a Forward Contract?In finance, a forward contract or simply a forward is a non-standardized contract between two parties to buy or to sell an asset at a specified future time at a price agreed upon today. The party agreeing to buy the underlying asset in the future assumes a long position, and the party agreeing to sell the asset in the future assumes a short position. The price agreed upon is called the delivery price, which is equal to the forward price at the time the contract is entered into.These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyle Learn more about your ad choices. Visit megaphone.fm/adchoices

In todays video we will learn about options on foreign exchange and index options.These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleOptions on Stock Indices - what are index options?A stock market index is a method of measuring the price movements of a basket of stocks in a market. Many indices are cited by the media and are used as benchmarks to measure the performance of portfolios such as mutual funds. Some are price indices and some are total return indices, meaning that they include reinvested dividends over time.There are a number of different index types. National indices represent the performance of the stock market of a given nation. Sector indices track the performance of specific industry sectors in the market. Ethical indices include only those companies that satisfy certain ecological, religious, or social criteria.Index options exist on broad-based indices like the S&P500 or the Russell 3000. They also exist on more narrowly based indices like mining indices or semiconductor indices. The global market for exchange-traded stock market index options is notionally valued by the Bank for International Settlements at hundreds of billions per year. When OTC options are added to that, you can see that it is a very large market indeed.An index option is a financial derivative that gives the holder the right, but not the obligation, to buy or sell a basket of stocks, such as the S&P500, at a pre-agreed price on a specified date. An index option is similar to other options contracts, the difference being the underlying instruments are indexes. Index options are typically cash settled.Uses of Index OptionsThere are two main reasons that investors will pursue index options.1. Portfolio insurance: Investors with large stock portfolios may wish to insure their downside risk by buying put options. 2. Speculation: Portfolio managers may wish to use index options to speculate on the direction of the overall market, or on the volatility of the overall market.Foreign Exchange Options - What are currency options?A foreign exchange option is a derivative where the owner has the right but not the obligation to exchange money denominated in one currency into another currency at a pre-agreed exchange rate on a specified date. European and American options on foreign exchange are actively traded on both exchanges and OTC. Companies frequently use them to hedge foreign exchange risk, and they are commonly used to speculate on the price and volatility of various foreign exchange pairs. The foreign exchange options market is mostly an OTC market. A GBP/USD foreign exchange call option, can also be viewed as being a USD/GBP put option, as they each give the option owner the right but not the obligation to exchange a certain amount of US dollars for British pounds at a pre-agreed exchange rate on a specified date. The Black-Scholes model can be modified to price options on foreign exchange. The modified Black-Scholes model was developed in 1983 by Garman and Kohlhagen and is known as the Garman-Kohlhagen model. It is a modification of the Black-Scholes model which accounts for the different interest rates of each currency.You can think of options on currencies as being an options position with an annual percentage dividend embedded in the form of the foreign currencies’ risk-free rate. Learn more about your ad choices. Visit megaphone.fm/adchoices

Stop paying for GPT, Claude, and Gemini separately. 🙅‍♂️Genspark puts them all in one workspace. One subscription. Three killer features:🔍 Fact Check – 30 rounds of live verification with source proof📝 AI Meeting Notes – Record on your phone, auto-share professional notes🎨 AI Designer – Thumbnails, social graphics, anything you needNew users get free credits. Paid subscribers get unlimited AI Chat + AI Image for 2026.Try Genspark today 👉https://www.genspark.ai/?utm_source=yt&utm_campaign=PBoyle04@GensparkProduct #Genspark #ai #WorkWithGensparkA three-bedroom "dunger" in New Zealand with peeling paint and boarded-up windows sold for 1.81 million dollars at the peak of the boom. A few years later, prices had fallen by as much as a third in real terms, recent buyers were trapped in negative equity, and thousands of construction firms had gone under. In this video we look at how a national housing boom turns into a bust, why house prices became so unaffordable in the first place, and what it means for an economy when the family home stops being a place to live and becomes a leveraged investment.Along the way we cover the interest-rate math behind home affordability and why falling mortgage rates inflated prices for forty years, the politics of why governments keep house prices rising, why high housing costs drive young workers to emigrate, and the lessons from past property crashes in Japan, the United States, and Ireland. We also look at Henry George's argument for a land value tax, Edward Leamer's "Housing IS the Business Cycle," and why an efficient property market matters for the whole economy. Whether you're in the US, UK, Canada, Australia, or anywhere else watching house prices climb out of reach, the underlying dynamics are the same.Patrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleWhat is Options Delta?The first Greek we will learn about in this video series is Delta, which measures how much an option's price will change for a 1% change in the price of the underlying security or index. For example, a Delta of 0.40 means that the option's price will theoretically move $0.40 for every $1 move in the price of the underlying stock or index.Call optionsHave a positive Delta that can range from zero to 1.00.At-the-money options usually have a Delta near .50.The Delta will increase (and approach 1.00) as the option gets deeper in the money.The Delta of in-the-money call options will get closer to 1.00 as expiration approaches.The Delta of out-of-the-money call options will get closer to zero as expiration approaches.Put option DeltaPut options have a negative Delta that can range from zero to -1.00.At-the-money options usually have a Delta near -.50.The Delta will decrease (and approach -1.00) as the option gets deeper in the money.The Delta of in-the-money put options will get closer to -1.00 as expiration approaches.The Delta of out-of-the-money put options will get closer to zero as expiration approaches.You also might think of Delta, as the percent chance (or probability) that a given option will expire in the money.For example, a Delta of 0.40 means the option has about a 40% chance of being in the money at expiration. This doesn’t mean your trade will be profitable. That of course, depends on the price at which you bought or sold the option.You also might think of Delta, as the number of shares of the underlying stock, the option behaves like.A Delta of 0.40 also means that given a $1 move in the underlying stock, the option will likely gain or lose about the same amount of money as 40 shares of the stock.Tune in tomorrow for a video on Delta Hedging. Learn more about your ad choices. Visit megaphone.fm/adchoices

In todays video we learn about currency swaps.These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleWhat are currency swaps?A currency swap is a financial derivatives agreement in which two parties exchange the principal amount of a loan and the interest in one currency for the principal and interest in another currency.At the inception of the swap, the equivalent principal amounts are exchanged at the spot rate.During the length of the swap each party pays the interest on the swapped principal loan amount.At the end of the swap the principal amounts are swapped back at either the prevailing spot rate, or at a pre-agreed rate such as the rate of the original exchange of principals. Using the original rate would remove transaction risk on the swap.Currency swaps are used to obtain foreign currency loans at a better interest rate than a company could obtain by borrowing directly in a foreign market or as a method of hedging transaction risk on foreign currency loans which it has already taken out. Learn more about your ad choices. Visit megaphone.fm/adchoices

Taking care of your health just got easier, thanks to my sponsor Zocdoc! Start here at: https://zocdoc.com/patrickboyleLast week, 24-year-old Leopold Aschenbrenner — former FTX staffer, ex-OpenAI researcher, and author of the viral 165-page essay "Situational Awareness" — managed to lose roughly two-thirds of his $45 billion hedge fund in a matter of weeks. The margin calls arrived during his wedding weekend.In this video I break down how a trader with no professional experience raised billions from Silicon Valley, why his AI "hedge" wasn't a hedge at all, and how leverage plus a concentrated bet on artificial intelligence stocks turned a great-looking expected return into a catastrophic outcome. Along the way we look at the cultural gap between Silicon Valley and Wall Street, why Ken Griffin's Citadel ended up buying the collapsing portfolio in an overnight fire sale, and the maths of volatility drag — the reason a high expected return can still drag an investor's typical outcome straight into the ground.It's a story about leverage, risk management, expected versus median returns, and what happens when you go "full Kelly." Featuring reporting from the Wall Street Journal, The New York Times, Bloomberg, and the Financial Times, plus Victor Haghani's lessons from The Missing Billionaires.Victor Haghani - The Missing Billionaires book: https://amzn.to/4fQUEEBElm Wealth Website: https://elmwealth.com/Patrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

Real options valuation, also often termed real options analysis, applies option valuation techniques to capital budgeting decisions. These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Patreon Page: https://www.patreon.com/PatrickBoyleOnFinanceFollow Patrick on twitter here: https://twitter.com/PatrickEBoyleA real option itself, is the right but not the obligation to undertake certain business initiatives, such as deferring, abandoning, expanding, staging, or contracting a capital investment project. For example, the opportunity to invest in the expansion of a firm's factory, or alternatively to sell the factory, is a real call or put option, respectively.Real options are generally distinguished from conventional financial options in that they are not typically traded as securities, and do not usually involve decisions on an underlying asset that is traded as a financial security. A further distinction is that option holders here, i.e. management, can directly influence the value of the option's underlying project; whereas this is not a consideration as regards the underlying security of a financial option. Moreover, management cannot measure uncertainty in terms of volatility, and must instead rely on their perceptions of uncertainty. Unlike financial options, management also have to create or discover real options, and such creation and discovery process comprises an entrepreneurial or business task. Real options are most valuable when uncertainty is high; management has significant flexibility to change the course of the project in a favorable direction and is willing to exercise the options.Real options analysis, as a discipline, extends from its application in corporate finance, to decision making under uncertainty in general, adapting the techniques developed for financial options to "real-life" decisions. For example, R&D managers can use Real Options Valuation to help them allocate their R&D budget among diverse projects; a non business example might be the decision to join the work force, or rather, to forgo several years of income to attend graduate school. It, thus, forces decision makers to be explicit about the assumptions underlying their projections, and for this reason ROV is increasingly employed as a tool in business strategy formulation. This extension of real options to real-world projects often requires customized decision support systems, because otherwise the complex compound real options will become too intractable to handle. Learn more about your ad choices. Visit megaphone.fm/adchoices

Go to http://ground.news/pb for a better way to stay informed. Subscribe for 40% off unlimited access to worldwide coverage through my link. Treasury Secretary Scott Bessent is trying to force down US Treasury yields with surprise bond buybacks — and it isn't working. In this video we break down Bessent's activist debt management strategy, why doubling the Treasury's long-dated buybacks is a bet on falling interest rates funded by short-term bills, and why his old boss Stanley Druckenmiller publicly tore the plan apart in a Wall Street Journal op-ed ("Let the Bond Market Speak"). We look at the collision with new Federal Reserve Chair Kevin Warsh after Jackson Hole, the 50% tariffs on Canada and the Mark Carney feud, "Operation Economic Outcast" and the secondary-sanctions problem with China and Iranian oil, the GENIUS Act and crypto's role in sanctions evasion, and Stephen Miran's case for the defense. The through-line: you can't trade around arithmetic. When a government goes to war with market prices, the bond market has an infinite balance sheet — and prices tend to win.Patrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

Get an exclusive 15% discount on Saily data plans! Use code BOYLE at checkout. Download Saily app or go to https://saily.com/boyleFor years, firms like MicroStrategy turned buying Bitcoin into a corporate cheat code—raising billions, pumping token prices, and fueling meme-driven hype. But the magic loop has snapped. In this video, we break down why the “infinite money glitch” stopped working, how leveraged ETFs magnified losses, and why even Michael Saylor is now hoarding dollars. From gamma trades to meme economics, this is the story of how hype capitalism hit a wall.Zeke Faux on @GoodWorkMB : https://www.youtube.com/watch?v=exoNex2Yn5wPatrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

Go to https://surfshark.com/boyle or use code BOYLE at checkout to get 4 extra months of Surfshark VPN!In 2003, Ghislaine Maxwell compiled a 238-page leather-bound book for Jeffrey Epstein — filled with letters, sketches, poems, and photos from billionaires, politicians, scientists, and celebrities. This book was never meant to be public. But now, thanks to the House Oversight Committee, it’s part of the public record — and it’s worse than anyone expected.We’ll also explore the deeper questions: Where did Epstein’s money come from? Why hasn’t the government followed the money? And what does this say about the two-tiered justice system in America?This scandal isn’t just about Epstein. It’s about the system that made him possible.Link to my original Epstein Video: https://youtu.be/CbJSgan4mfQPatrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleIf you're an options investor, you may have heard about "Greeks" but you may not know exactly what they are or what they can do for you. If so, watch this series of videos where Patrick Boyle explains what these Greek letters mean and how to use them to better understand the price of an option.What can option Greeks do for you?Using the Greeks, an options investor can make more informed decisions about which options to trade, and when to trade them. Consider some of the things Greeks may help you do:Gauge the likelihood that an option you're considering will expire in the money (Delta).Estimate how much the Delta will change when the stock price changes (Gamma).Get a feel for how much value your option might lose each day as it approaches expiration (Theta).Understand how sensitive an option might be to large price swings in the underlying stock (Vega).Simulate the effect of interest rate changes on an option (Rho).What are Greeks anyway?Greeks, including Delta, Gamma, Theta, Vega and Rho, measure the different factors that affect the price of an option contract. They are calculated using a theoretical options pricing model (see How much is an option worth?).Since there are a variety of market factors that can affect the price of an option in some way, assuming all other factors remain unchanged, we can use these pricing models to calculate the Greeks and determine the impact of each factor when its value changes. For example, if we know that an option typically moves less than the underlying stock, we can use Delta to determine how much it is expected to move when the stock moves $1. If we know that an option loses value over time, we can use Theta to approximate how much value it loses each day.what is delta gamma theta vega in options Learn more about your ad choices. Visit megaphone.fm/adchoices

In todays video we will learn about forward interest rates and a derivative called a forward rate agreement or FRA.These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleWhat are Forward Rates?A forward rate is an interest rate implied for periods of time in the future by zero-coupon bonds. For example, the market implied yield on a three-month Treasury bill three months from now is a forward rate.If we know what the three-month zero-coupon Treasury bill rate is and what the six-month zero-coupon Treasury bill rate is, we can back out what the market is implying as the yield on a three-month Treasury bill three months from now.To calculate forward rates we just need the zero-coupon yield curve.What are Forward Rate Agreements?A forward rate agreement (FRA) is an over-the-counter agreement to borrow a fixed amount of money at a fixed interest rate at a specified future time period.Banks and large corporations can use FRAs to hedge future interest rate exposures. The buyer hedges against the risk of rising interest rates, while the seller hedges against the risk of falling interest rates. Speculators can use FRAs to make bets on future changes in interest rates.Rates in the future will usually be different from the implied rate at the time you entered into a forward-rate-agreement, giving rise to gains or losses on the agreed transaction.What is an FRA?An FRA is an abbreviated term for Forward Rate Agreement Learn more about your ad choices. Visit megaphone.fm/adchoices

In todays video we learn about variance swapsThese classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleWhat is a Variance Swap?A variance swap is a financial derivative used to hedge or speculate on the magnitude of a price movement of an underlying asset. A variance swap is a forward contract with a payoff based on the realized variance of the underlying asset. Variance swaps settle in cash based on the difference between the realized variance and the variance strikeSimilar to a regular swap, one of the two parties involved in the transaction will pay an amount based upon the actual variance of price changes of the underlying asset. The other party will pay a fixed amount, called the strike, specified at the start of the contract. The strike is typically set at the start to make the net present value of the payoff zero.At the end of the contract, the net payoff to the counterparties will be the notional amount multiplied by the difference between the variance and the strike variance, settled in cash. Due to any margin requirements specified in the contract, some payments may occur during the life of the contract should the contract's value move beyond the agreed limits.The variance swap, in mathematical terms, is the arithmetic average of the squared differences from the mean value. The square root of the variance is the standard deviation.A variance swap is a pure-play on an underlying asset's volatility. Options also give an investor the possibility to speculate on an asset's volatility. But, options carry directional risk, and their prices depend on many factors. There are two main classes of users for variance swaps.Speculators use these swaps to speculate on the future level of volatility for an asset.Hedgers use variance swaps to cover short volatility positions.They are similar to volatility swaps, watch my video on those here. https://www.youtube.com/watch?v=qclLj3E5zyk Learn more about your ad choices. Visit megaphone.fm/adchoices

Go to https://ground.news/pb to get up to 40% off unlimited access to stay fully informed. Subscribe through my link this month for 40% off unlimited access.In this deep dive, we unpack Donald Trump’s controversial deal with Nvidia and AMD — a 15% revenue-sharing arrangement that allows U.S. AI chips to be exported to China. Is this a clever geopolitical strategy or a dangerous precedent that monetizes national security?We explore:How the deal was brokered and what it means for U.S. trade policyLegal and constitutional concerns surrounding export controlsStrategic risks of enabling China’s AI developmentComparisons to China’s rare earth leverage and Xi Jinping’s CEO controlThe broader pattern of Trump’s executive interference in private enterpriseFeaturing analysis on the H20 chip, inference bottlenecks, golden shares, and the future of American capitalism.Patrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

Thank you to Bilt for sponsoring this video! Start earning rewards on rent right now when you sign up at https://biltrewards.yt.link/MtRNXADDOGE promised to cut $2 trillion from the U.S. budget. Instead, it delivered chaos, memes, and a black eye—literally. In this video, we unpack Elon Musk’s candid post-mortem on the Department of Government Efficiency, why the savings never showed up, and how the “Manhattan Project of our time” turned into a bottle rocket. From the Wall of Receipts to the IRS meltdown and USAID’s woodchipper moment, we follow the money (and the missing billions) using Treasury data, Brookings analysis, and some jaw-dropping anecdotes. If you want the truth behind the headlines—and a few laughs along the way—this is the deep dive you’ve been waiting for.Patrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleWhat is Options Gamma?Gamma is a measure of the rate of change of its delta . The gamma of an option is expressed as a percentage and reflects the change in the delta in response to a one point movement of the underlying stock price. Like the delta, the gamma is constantly changing, even with tiny movements of the underlying stock price. It generally is at its peak value when the stock price is near the strike price of the option and decreases as the option goes deeper into or out of the money.what is delta gamma theta vega in options? Learn more about your ad choices. Visit megaphone.fm/adchoices

These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleThe Black–Scholes or Black–Scholes–Merton model is a mathematical model for the dynamics of a financial market containing derivative investment instruments. From the partial differential equation in the model, known as the Black–Scholes equation, one can deduce the Black–Scholes formula, which gives a theoretical estimate of the price of European-style options and shows that the option has a unique price regardless of the risk of the security and its expected return. The formula led to a boom in options trading and is widely used, although often with adjustments and corrections, by options market participants.Based on works previously developed by academics and practitioners, such as Louis Bachelier and Ed Thorp among others, Fischer Black and Myron Scholes demonstrated in the late 1960s that a dynamic revision of a portfolio removes the expected return of the security, thus inventing the risk neutral argument. After three years of efforts, the formula was published in 1973 in an article entitled "The Pricing of Options and Corporate Liabilities", in the Journal of Political Economy. Robert C. Merton was the first to publish a paper expanding the mathematical understanding of the options pricing model, and coined the term "Black–Scholes options pricing model". Merton and Scholes received the 1997 Nobel Memorial Prize in Economic Sciences for their work, the committee citing their discovery of the risk neutral dynamic revision as a breakthrough that separates the option from the risk of the underlying security. Although ineligible for the prize because of his death in 1995, Black was mentioned as a contributor by the Swedish Academy.The key idea behind the model is to hedge the option by buying and selling the underlying asset in in line with its delta and, as a consequence, to eliminate risk. This type of hedging is called "dynamic delta hedging" and is the basis of more complicated hedging strategies such as those engaged in by investment banks and hedge funds. The model's assumptions have been relaxed and generalized in many directions, leading to a plethora of models that are currently used in derivative pricing and risk management. It is the insights of the model, as exemplified in the Black–Scholes formula, that are frequently used by market participants, as distinguished from the actual prices. These insights include no-arbitrage bounds and risk-neutral pricing. Further, the Black–Scholes equation, a partial differential equation that governs the price of the option, enables pricing using numerical methods when an explicit formula is not possible. The Black–Scholes formula has only one parameter that cannot be directly observed in the market: the average future volatility of the underlying asset, but this can be backed out from the price of other options. In this video we learn about the model, the assumptions required for the model and about what goes in to it.We also learn about Implied volatility and the VIX Index. The VIX Index is a calculation designed to produce a measure of constant, 30-day expected volatility of the U.S. stock market, derived from real-time, mid-quote prices of S&P 500® Index (SPXSM) call and put options. On a global basis, it is one of the most recognized measures of volatility -- widely reported by financial media and closely followed by a variety of market participants as a daily market indicator.pricing options using black scholes mertonSubscribe so that you can see future videos on this topic, Learn more about your ad choices. Visit megaphone.fm/adchoices

What are Financial Futures?A futures contract is a legal agreement to buy or sell a particular asset at an agreed price at an agreed time in the future. Futures contracts are standardized for quality and quantity to facilitate trading on a futures exchange. The buyer of a futures contract is taking on the obligation to buy the underlying asset when the futures contract expires. The seller of the futures contract is taking on the obligation to provide the underlying asset at the expiration date.These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyle Learn more about your ad choices. Visit megaphone.fm/adchoices

These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleThe option sensitivity measures familiar to most option traders are often referred to as the Greeks: delta, gamma, vega, lambda, rho, and theta. Delta is the price sensitivity of an option with respect to changes in the price of the underlying asset. It represents a first-order sensitivity measure analogous to duration in fixed income markets. Gamma is the sensitivity of an option's delta to changes in the price of the underlying asset, and represents a second-order price sensitivity analogous to convexity in fixed income markets. Vega is the price sensitivity of an option with respect to changes in the volatility of the underlying asset. See Pricing and Analyzing Equity Derivatives or the Glossary for other definitions. The Greeks of a particular option are a function of the model used to price the option. However, given enough different options to work with, a trader can construct a portfolio with any desired values for its greeks. For example, to insulate the value of an option portfolio from small changes in the price of the underlying asset, one trader might construct an option portfolio whose delta is zero. Such a portfolio is then said to be “delta neutral.” Another trader may want to protect an option portfolio from larger changes in the price of the underlying asset, and so might construct a portfolio whose delta and gamma are both zero. Such a portfolio is both delta and gamma neutral. A third trader may want to construct a portfolio insulated from small changes in the volatility of the underlying asset in addition to delta and gamma neutrality. Such a portfolio is then delta, gamma, and vega neutral. Learn more about your ad choices. Visit megaphone.fm/adchoices

A revision slideshow on Futures and Forwards.These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyle Learn more about your ad choices. Visit megaphone.fm/adchoices

🔒 Get 20% off DeleteMe by going to https://joindeleteme.com/BOYLE and use code BOYLE to protect your privacy! 🙌🏻Three years ago, the global auto industry was gripped by a collective hallucination. CEOs promised us that the internal combustion engine would be dead by 2035 and that legacy automakers were just one battery factory away from a trillion-dollar valuation.That narrative has now collided with economic reality.In this video, we analyze the collapse of the "inevitability" narrative. We look at why Ford has been forced to take a staggering $19.5 billion write-down, why the European Union is quietly dismantling its own petrol ban, and why—despite billions in subsidies—automakers are still losing $6,000 on every electric vehicle they sell.We examine how the industry confused a political project with consumer demand, leading to a market where the cars are too expensive for the middle class and too unprofitable for the manufacturers.Patrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

👉 To try everything Brilliant has to offer for free for a full 30 days, visit https://brilliant.org/patrick/. You’ll also get 20% off an annual premium subscription.Jeffrey Epstein was a college dropout with no formal financial training who amassed a fortune worth hundreds of millions of dollars and mingled with presidents and billionaires. Drawing on court records and media investigations we trace where Epstein's money came from and what happened to it? From his first job as a high school teacher to involvement in a Ponzi scheme, secretive offshore firms, and powerful clients like Les Wexner and Leon Black. As conspiracy theories swirl and official narratives shift, one question remains unanswered: where did Epstein's money actually come from?Patrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoylePeople are often confused as to when it makes sense to exercise an option. Most of the time it does not make sense to early exercise American options. In this video we go through the scenarios where it might make sense.For an American-style call option, early exercise is a possibility whenever the benefits of being long the underlying outweighs the cost of giving up the option early (the benefits of being long the underlying outweigh the foregone time value of the option). For example, on the day before an ex-dividend date, it may make sense to exercise an equity call option early in order to collect the dividend. In general, equity call options should only be exercised early on the day before an ex-dividend date, and then only for deep in-the-money options when the dividend is sufficiently large For an American-style put option, early exercise might make sense if it is deep in-the-money. In this case, it may be wise to exercise the option early in order to obtain the intrinsic value (K – S) earlier so that it can start to earn interest immediately. This is somewhat more likely to be worthwhile if there is no ex-dividend date, which would probably cause the price of the underlying to fall further between now and the expiry date. This would usually require interest rates to be relatively high.When should I exercise an option? Learn more about your ad choices. Visit megaphone.fm/adchoices

These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleWhat is Options Vega?Vega is a measure of the impact of changes in implied volatility on the option price. Specifically, the vega of an option expresses the change in the price of the option for every 1% change in implied volatility.Options tend to be more expensive when volatility is higher. Thus, whenever volatility goes up, the price of the option goes up and when volatility drops, the price of the option will also fall. ExampleA stock XYZ is trading at $46 in May and a JUN 50 call is selling for $2. Let's assume that the vega of the option is 0.15 and that the underlying volatility is 25%.If the underlying volatility increased by 1% to 26%, then the price of the option should rise to $2 + 0.15 = $2.15.However, if the volatility had gone down by 2% to 23% instead, then the option price should drop to $2 - (2 x 0.15) = $1.70Passage of time and its effects on the vegaThe more time remaining to option expiration, the higher the vega. This makes sense as time value makes up a larger proportion of the premium for longer term options and it is the time value that is sensitive to changes in volatility. Learn more about your ad choices. Visit megaphone.fm/adchoices

👉 To try everything Brilliant has to offer for free for a full 30 days, visit https://brilliant.org/patrick/. You’ll also get 20% off an annual premium subscription.Why did the star lot of the spring season, a bronze head by the master sculptor Alberto Giacometti, fail to sell at Sotheby’s?Alberto Giacometti’s 1955 bust, “Grande tête mince" (“Big Thin Head”), carried a pre-sale estimate of $70 million in Sotheby’s Modern evening auction. The auctioneer started the bidding at $59 million dollars. But no one bid - the piece went unsold. It was the second high-profile lot to disappoint in two days. Andy Warhol’s “Big Electric Chair” (1967-68) was withdrawn from Christie’s 20th century evening auction the day before. Is the fine art market in trouble?Patrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

🎶 Check out OpenDots ONE → https://sdqk.shokz.com/PatrickBoyle/zDbShuZW?utm_content=linkIn this video, we examine the implications of Trump’s latest trade deals —from the one-sided EU deal to politically charged moves against Brazil. Are the deals being structured to exclude China from global supply chains and are these tariffs just about trade, or something more? We explore how constant changes are disrupting business activity, whether manufacturing is really coming back to the U.S., and what history tells us about protectionism’s impact on innovation and productivity.Unhedged Podcast Link: https://podcasts.apple.com/us/podcast/the-eu-folds-on-tariffs/id1691284824?i=1000719679953Patrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

Ad: 🔒Remove your personal information from the web at https://joindeleteme.com/BOYLE and use code BOYLE for 20% offWhy are some homeowners thriving while others are struggling to keep up? In this video, we explore how America’s housing market has fractured—creating a sharp divide between those who locked in low mortgage rates and those buying today at much higher costs.We’ll unpack:The lock-in effect and its impact on geographic mobilityWhy millennials face deeper inequality within their own generationHow renters are absorbing the full brunt of housing inflationThe role of tariffs, interest rates, and investor behaviorInternational comparisons with the UK and ChinaWhy your mortgage might be the most important financial instrument you ownFrom sticky inflation to shifting migration patterns, this is the story of how housing finance is reshaping the American economy—and the lives of millions.Patrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

What is Volatility Arbitrage?Volatility arbitrage is a trading strategy that attempts to profit from the difference between the forecasted price-volatility of an asset, like a stock, and the implied volatility of options on that asset.These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleHow does Volatility Arbitrage Work?The price of an option is driven by the volatility of the underlying asset. If the forecasted and implied volatilities differ, there will be a discrepancy between the expected price of the option and its actual market price.A volatility arbitrage strategy can be implemented through a delta-neutral portfolio consisting of an option and its underlying asset. For example, if a trader thought a stock option was underpriced because implied volatility was too low, they may buy a call option and combine that with a short position in the underlying stock to profit from that forecast. If the price of the stock doesn't move, but the implied volatility used to price that option rises, then the price of the option will rise. Even if this does not get recognized by the market, but the stock realizes higher volatility than was implied in the initial price, the trading strategy explained in the video will generate a profit for the trader.Alternatively, if the trader believes that implied volatility is too high and will fall, then they may decide to take a long position in the stock and a short position in a put option. Assuming the stock's price doesn't move, the trader may profit as the option falls in value with a decline in implied volatility.There are several assumptions a trader must make, which will increase the complexity of a volatility arbitrage strategy. First, the investor must be right about whether implied volatility really is over- or underpriced. Second, the investor must be correct about the amount of time it will take for the strategy to profit or time value erosion could outpace any potential gains. Finally, if the price of the underlying stock moves more quickly than expected the strategy will have to be adjusted, which may be expensive or impossible depending on market conditions. Learn more about your ad choices. Visit megaphone.fm/adchoices

Go to ➞ https://surfshark.com/boyle or use code BOYLE at checkout to get 4 extra months of Surfshark VPN!Elon Musk says his new online encyclopedia Grokipedia will fix Wikipedia’s flaws by replacing human editors with AI. But can a chatbot really deliver “the whole truth and nothing but the truth” as he says? In this video, we dive into the battle between Wikipedia’s messy, transparent consensus and Grokipedia’s algorithmic certainty.Patrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

Tello Mobile offers flexible & affordable phone plans with prices up to $25/month! Check out Tello using my link → https://tello.com/?utm_source=partner&utm_medium=cpc&utm_campaign=PatrickBoyle&src=partner&mdm=cpc&cmg=PatrickBoyleAI chatbots are replacing search engines—and in the process, they’re gutting the economics of journalism, reviews, and the open internet. In this video, we explore how tools like ChatGPT, Claude, and Google’s AI Overviews are intercepting audiences, scraping content without compensation, and threatening the viability of independent news and trusted information. From collapsing traffic to lawsuits and poisoned training data, this is a story about what happens when the web’s information economy starts to eat itself.Patrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Videos Mentioned:@BennJordan Poisonify: https://www.youtube.com/watch?v=xMYm2d9bmEABenn Jordan on AI Cameras: https://www.youtube.com/watch?v=Pp9MwZkHiMQAngela Collier on Vibe Physics: https://www.youtube.com/watch?v=TMoz3gSXBcYMy Video on Blitzscaling: https://www.youtube.com/watch?v=p7Lo0sZfdHEWays To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleWhat is Rho in Options?Rho is the rate at which the price of a derivative changes relative to a change in the risk-free rate of interest. Rho measures the sensitivity of an option or options portfolio to a change in interest rate. Rho may also refer to the aggregated risk exposure to interest rate changes that exist for a book of several options positions.If an option or options portfolio has a rho of 1.0, then for every 1 percentage-point increase in interest rates, the value of the option (or portfolio) increases 1 percent. Options that are most sensitive to changes in interest rates are those that are at-the-money and with the longest time to expiration.Check out our playlist on the Options Greeks to see more on this topic. Learn more about your ad choices. Visit megaphone.fm/adchoices

Get a complete picture of the news on your phone or tablet by downloading the Straight Arrow News app.Go to https://www.san.com/pboyle to check it out. When you visit, you not only support me, but you also take advantage of a better way to get the news. Welcome back to trustworthy journalism.The first two batches of the Epstein files have finally been released, and the revelations are explosive. For decades, the media and the justice system ignored the most basic question: Who helped him? Now, thanks to thousands of pages of newly released DOJ documents, we know that there were the co-conspirators. In this video, we look through the latest evidence to expose the network of co-conspirators and high-powered enablers who made Jeffrey Epstein’s crimes possible. We go beyond the headlines to reveal the specific individuals—from Ghislaine Maxwell to banking titans like Jes Staley—who were far closer to Epstein’s operation than they ever admitted.We break down the bombshell New York Times investigation that dismantles the myth of Epstein's "financial genius" and uncover the bipartisan cover-up that kept these files buried for 40 years. From Donald Trump’s newly revealed flight logs to Bill Clinton’s White House connections, we show how a "two-tier" justice system worked to protect the powerful at the expense of the truth.@nytimes article: https://www.nytimes.com/2025/12/16/magazine/jeffrey-epstein-money-scams-investigation.htmlPatrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

✨ Start designing today with Gamma for free ➡️ https://gamma.app/?utm_source=youtube&utm_medium=influencer&utm_campaign=nov25&utm_content=akg_PBoyleIs Trump’s 50-Year Mortgage Plan the answer to America’s housing affordability crisis—or a financial trap? In this video, we break down the economics, politics, and history behind ultra-long mortgages.You’ll learn:* Why a 50-year mortgage might not lower monthly payments as promised* How interest rates and risk pricing change with longer loan terms* The hidden costs: slower equity growth, higher lifetime interest, and systemic risk* Lessons from Japan’s 50- and 100-year mortgages—and why they failed* What really drives housing affordability If you’re curious about housing policy, mortgage mechanics, and the future of homeownership, this deep dive is for you.Patrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleThis is the sixth video in our series on pricing options, to watch the whole series as a playlist, click here: https://www.youtube.com/watch?v=LHaftRA2N8A&list=PLHC72UlhAthDq-s_jRepKDrsaeGDU3PaJOptions on Dividend Paying UnderlyingsFor an American-style call option, early exercise can make sense whenever the benefits of being long the underlying outweighs the cost of giving up the option early (the benefits of being long the underlying outweigh the foregone time value of the option). For example, on the day before an ex-dividend date, it may make sense to exercise an equity call option early in order to collect the dividend. In general, equity call options should only be exercised early on the day before an ex-dividend date, and then only for deep in-the-money options when the dividend is sufficiently large. Todays video illustrates a scenario where a dividend of $2.50 per share is expected to be paid immediately prior to expiration of an option. Call option holders, though holding "bullish" or "long" positions with respect to the underlying asset, are not eligible to collect dividends paid on the underlyings. Therefore, if a long American call option holder expects at T0 and at T1 that a dividend will be paid on the underlying stock just prior to the option's maturity at T2, they can evaluate whether or not it is optimal to early-exercise. Analyzing potential early exercise at T0 shows there is no benefit to early exercising since the option is not in-the-money. At T1, the up node is in-the-money, the American call holder evaluates if holding or early-exercising is optimal. Early-exercising has a value at T1 in the up node of $3.00 ($30 share price less $30 strike). Using the European options binomial tree pricing formula fu in the up node, the call option is valued at only $2.73. This valuation difference came about because the expected value of the spot at T2 is reduced by $2.50 just prior to expiration. This dividend payment is of sufficient size, in this case (it is not always optimal to early-exercise on dividend-paying stocks, prior to expiration, it depends on the relative size of the dividend), that the underlying asset's price drop due to the dividend payment makes early-exercise the optimal strategy. Learn more about your ad choices. Visit megaphone.fm/adchoices

These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleWhat is Options Theta?An option's theta is a measurement of the option's time decay. The theta measures the rate at which options lose their value as the expiration date draws nearer. Theta is generally expressed as a negative number, the theta of an option reflects the amount by which the option's value will decrease every day.An ExampleA call option with a current price of $2 and a theta of -0.05 will experience a drop in price of $0.05 per day. So in two days' time, the price of the option should fall to $1.90.Time to Expiration and its Effects on ThetaLonger term options have theta of almost 0 as they do not lose value on a daily basis. Theta is higher for shorter term options, especially at-the-money options. This is pretty obvious as such options have the highest time value and thus have more premium to lose each day.Conversely, theta goes up dramatically as options near expiration as time decay is at its greatest during that period.Changes in Volatility and its Effects on ThetaIn general, options of high volatility stocks have higher theta than low volatility stocks. This is because the time value premium on these options are higher and so they have more to lose per day.what is delta gamma theta vega in options Learn more about your ad choices. Visit megaphone.fm/adchoices

Level up your note-taking with PLAUD NOTE at https://bit.ly/4eFOGEb and use code PBOYLE for 20% OFF during Prime Day!Amazon: https://bit.ly/44r4oOJ#PLAUD#PLAUDNOTE#NoteTakerAs Bitcoin surges into the financial mainstream, a growing number of companies — from obscure microcaps to global tech giants — are transforming themselves into crypto-holding entities. This video explores the rise of the corporate Bitcoin treasury strategy, tracing its origins with MicroStrategy’s dramatic pivot, the global wave of imitators, and the political entanglements reshaping the crypto landscape. With billions in digital assets now sitting on corporate balance sheets, the question is no longer whether Bitcoin belongs in business — but what happens when the music stops.Patrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

🔒 Get 20% off DeleteMe by going to https://joindeleteme.com/BOYLE and use code BOYLE to protect your privacy! 🙌🏻The AI boom isn’t just about algorithms — it’s about money, power, and a race to build infrastructure on a scale we’ve never seen before. In this video, we break down the circular deals between OpenAI, Nvidia, Amazon, Anthropic, and even Elon Musk’s empire — and ask the hard questions: Who’s paying for this? Where will the electricity come from? And is the industry building a Möbius strip of venture capital and gigawatts that could collapse under its own weight?We’ll explore:The spaghetti diagram of AI’s biggest playersOpenAI’s trillion-dollar data center ambitionsWhy Nvidia’s demand might not be what it seemsThe risk of stranded assets and systemic leverageHow geopolitics and energy constraints could shape the futureIf you want to understand the economics behind the hype — and why this might be the biggest corporate investment project in history — watch now.Patrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

Get an exclusive 15% discount on Saily data plans! Use code BOYLE at checkout. Download Saily app or go to https://saily.com/boyleTwo days after its release, my analysis of the Epstein files was on track to break every record on this channel. Then the yellow dollar sign appeared, and the video flatlined.In this video, we explore how algorithmic demonetization has evolved into a form of "soft censorship." It isn't a conspiracy, but a broken business model that taxes serious journalism in favor of "brand safe" entertainment. We look back at the Logan Paul "Adpocalypse," examine the structural bias against independent creators, and analyze the alarming decline of U.S. Press Freedom (now ranked #57 globally).From the missing footage in Epstein's cell to the 2020 spike in journalist arrests, we ask the hard question: If the algorithm filters out the "boring" work of holding power to account, does YouTube cease to be a digital public square?Link to the Demonetized videos:https://youtu.be/GAJf2F1BbRA?si=pocxFNV33xXlANqohttps://youtu.be/MG95B0fyuWI?si=ULY-lTHAzqqkAYq2 @VloggingThroughHistory video: https://www.youtube.com/watch?v=SnPrVn24dTEPatrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

🔒 Get 20% off DeleteMe by going to https://joindeleteme.com/BOYLE and use code BOYLE to protect your privacy! 🙌🏻OpenAI has signed $1.4 trillion in infrastructure commitments, but how do they plan to pay for it? Are government subsidies and taxpayer-backed guarantees the next step? In this video, we dive into the financing gymnastics behind the AI revolution, the lobbying for federal support, and why tech firms are pitching AI as “too important to fail.”We’ll cover:✅ OpenAI’s $1.4 trillion data center buildout✅ The push for government backstops and subsidies✅ Nvidia’s warning on energy and capital constraints✅ Why AI could strain power grids and utilities✅ The risk of an AI “metabubble” and what it means for investorsWatch Sarah Friar's Interview @wsj https://www.youtube.com/watch?v=8guZhBw4Z3gPatrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleThis is the fifth video in our series on pricing options. The whole series is collected as a playlist here: https://www.youtube.com/watch?v=LHaftRA2N8A&list=PLHC72UlhAthDq-s_jRepKDrsaeGDU3PaJIf you are new to options pricing and binomial trees it might make sense to watch some of the other videos first.Binomial Trees and American OptionsAmerican options can be exercised anytime up to maturity, as opposed to European options which can only be exercised at maturity. Binomial trees can be used to price American options with the only modification needed is to evaluate at each node as to whether there is more value associated with exercising or holding the option to expiration. The highest of these two values is used in calculating the option value. In the two-step American binomial tree valuation shown in this video, we are using the same example as in our last video but with the option now American. In this case, at T1 it would be optimal to early-exercise. Thus the valuation at the first down node is in fact the early-exercise valuation, which is the intrinsic value at that node, as opposed to the valuation achieved from the risk-neutral valuation for fd. At time zero, the valuation of the derivative is based on fu as usual, but the fd value input into the formula for f is the early exercise cash flow.To watch the video where we priced the same put option, but as a European option, click here. https://www.youtube.com/watch?v=nN4tOYVqf9oPricing American Options using the Binomial Tree Methodmulti step binomial trees Learn more about your ad choices. Visit megaphone.fm/adchoices

😎 Get an exclusive 15% discount on Saily data plans! Use code BOYLE at checkout. Download Saily app or go to https://saily.com/boyleIn the race to dominate generative AI, Big Tech firms haven’t just been building, they’ve been buying. But there’s something strange about most of the deals that they have struck. Companies like Meta, Microsoft, Amazon, Google, and Nvidia are embedding themselves deep within the AI ecosystem through strategic investments, exclusive partnerships, and talent acquisitions- with deals that stop just short of formal takeovers, but the economic impact of these deals it turns out – is indistinguishable from full control.Drayton D'Silva Substack Article: https://enterprisevalue.substack.com/if-i-did-itPatrick's Books:Statistics For The Trading Floor: https://amzn.to/3eerLA0Derivatives For The Trading Floor: https://amzn.to/3cjsyPFCorporate Finance: https://amzn.to/3fn3rvC Ways To Support The ChannelPatreon: https://www.patreon.com/PatrickBoyleOnFinanceBuy Me a Coffee: https://www.buymeacoffee.com/patrickboyleVisit our website: https://www.onfinance.orgFollow Patrick on Twitter Here: https://bsky.app/profile/pboyle.bsky.socialBusiness Inquiries ➡️ sponsors@onfinance.orgPatrick Boyle On Finance Podcast:Spotify: https://open.spotify.com/show/7uhrWlDvxzy9hLoW0EYf0bApple: https://podcasts.apple.com/us/podcast/patrick-boyle-on-finance/id1547740313Google Podcasts: https://tinyurl.com/62862nveJoin this channel to support making this content:https://www.youtube.com/channel/UCASM0cgfkJxQ1ICmRilfHLw/join Learn more about your ad choices. Visit megaphone.fm/adchoices

These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleIn finance, the binomial options pricing model provides a generalizable numerical method for the valuation of options. The binomial model was first proposed by Cox, Ross and Rubinstein in 1979, six years after the Black Scholes model. Essentially, the model uses a "discrete-time" (lattice based) model of the varying price over time of the underlying financial instrument.The Binomial options pricing model approach has been widely used since it is able to handle a variety of conditions for which other models cannot easily be applied. This is largely because the model is based on a description of an underlying instrument over a period of time rather than a single point in time. As a consequence, it is used to value American options that are exercisable at any time in a given interval as well as Bermudan options that are exercisable at specific instances of time. Being relatively simple, the model is readily implementable in computer software or even in spreadsheets like Excel. Although computationally slower than the Black–Scholes formula, it is more accurate, particularly for longer-dated options on securities with dividend payments. For these reasons, various versions of the binomial model are widely used by practitioners in the options markets.The Risk-Neutral Binomial Tree ApproachThe concept of a portfolio made up of some portion of stock and some portion of a derivative on that stock gives rise to the ability to generate equivalent cash flows at end nodes of binomial trees, and this certainty of cash flows allows us to discount the cash flows at the risk-free rate. The ability to discount cash flows in the future at a known risk-free rate gives us the concept of risk-neutral valuation. Risk neutral valuation is a powerful concept in derivatives pricing which enables valuation of assets based on their expected payoffs at different points in time and with different scenarios of underlying asset price movements. Risk-neutral valuation is applicable whenever you can create a portfolio including the underlying plus a derivative on the same underlying. It cannot be extrapolated to find the value of derivatives on other underlyings. It relies on the portfolio instruments having a level of dependency on one another.This model is very flexible and powerful because we don’t need to know the real probability of the upside scenario, or the real likelihood of the downside economic scenario—it is not required to maintain our certainty of cash flows at the end point. An easy mistake to make is to confuse this constructed probability distribution with real-world probability. They will be different, but the method of risk-neutral pricing is, like many other useful computational tools, convenient and powerful. The approach of risk-neutral valuation makes sense for valuation purposes but only works when all of the instruments included in the valuation model depend on the same underlying and thus are exposed to the same risks, though held in different proportions. We are pricing the option in terms of the underlying stock, thus risk preferences are taken into account in the pricing of the underlying. The risk-neutral binomial tree approach is mathematically equivalent to the portfolio approach previously covered, and gives us the exact same valuation. The risk neutral binomial tree valuation approach to value the derivative, f, is as follows.With some algebra, you can show that the risk-neutral formula is mathematically equivalent to the portfolio approach where  of shares is calculated to generate riskless outcomes at maturity, T.Although we are not making any assumptio Learn more about your ad choices. Visit megaphone.fm/adchoices

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How to Price Options using a Binomial Tree. The portfolio approach.These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleThe Binomial Tree approach to options pricing involves constructing a diagram of the possible paths of the stock price over the life of the option and then calculating the present value of the final cash flows to determine the current option price.We will start with a simplified view of the world and explain the approach, then we will slowly adjust the model to make it more and more realistic.The Portfolio ApproachFor our first example we will start with an underlying that has a price of $50, and we know at the end of three months that the underlying will be at one of two prices, either $70 or $30 (this "foreknowledge" is in fact a very big assumption, but stay with us for a while and we will improve this admittedly hugely unrealistic assumption). We will price a European Call with a strike of $50, and one month to expiration. The only additional piece of information that we need in order to solve this problem is the interest rate, which we will set at 5%. The first step is to draw our tree putting in the spot price S0, the two ending prices of the underlying at T ST and the value of the call at expiration given the two ending prices c. If we know with certainty (a big assumption) that there are only two outcomes for the stock price at T and we assume that no arbitrages are freely available in marketplaces (a much better assumption) we can set up a portfolio of S and the derivative c on that same underlying where there is no uncertainty about valuations at T maturity.The portfolio will be some amount (delta) of S and short one call option c. If we set the two portfolios as equal and solve for delta The portfolio is riskless if there is a value for delta where the two portfolios have an identical value at maturity in all possible scenarios. In either case above, the portfolio at expiration is worth $15. Because this portfolio is riskless we can discount it at the risk free rate (5%) for one months (1/12 of a year) to find the present value of the portfolio. So far, we have found the interesting result that if we know the two next possible steps in an underlying assets price and we know the risk free interest rate we can price a derivative. The only problem we have is that our first assumption is quite unrealistic, but as you will see, we can keep working with this approach and make more reasonable assumptions as the chapter progresses.NotationAs we move forward with binomial valuations, we will always be assuming a portfolio at each node knowing that some value for delta makes the portfolios equivalent at time T. It is important to note that we are not valuing the option in absolute terms. We are calculating its value as implied by the price and volatility of the underlying and the risk free rate. The probabilities of up and down movements are already incorporated in these prices and we don’t need to take them into account again when pricing the option which is based on the stock. All of our methods of valuing derivatives share this approach. People's expected returns for underlyings are irrelevant in this calculation, as all we are saying is that assuming the price for the underlying is X, then Y is the only fair price for the option, any other price would allow for arbitrage opportunities between the price of the underlying and the derivative.Watch tomorrows video to learn the risk neutral approach to pricing binomial trees. Learn more about your ad choices. Visit megaphone.fm/adchoices

In todays video we will learn the two methods for pricing interest rate swaps.These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/Follow Patrick on twitter here: https://twitter.com/PatrickEBoyleInterest Rate Swap ValuationSwaps are typically valued at zero at inception. Afterwards they, may take on a positive or negative valuation. Swaps are a zero-sum game, one counterparty’s gain is equal to the other counterparty’s loss.A plain vanilla interest rate swap can be priced as either a combination of a long position in one bond and a short position in another bond, or as a portfolio of forward-rate-agreements. In this video we will learn about both the bond valuation approach and the FRA (Forward rate agreement) approach to pricing interest rate swaps.Trading and Pricing Financial Derivatives Learn more about your ad choices. Visit megaphone.fm/adchoices