Financial models

Black's approximation

In finance, Black's approximation is an approximate method for computing the value of an American call option on a stock paying a single dividend. It was described by Fischer Black in 1975. The Black–Scholes formula (hereinafter, "BS Formula") provides an explicit equation for the value of a call option on a non-dividend paying stock. In case the stock pays one or more discrete dividend(s) no closed formula is known, but several approximations can be used, or else the Black–Scholes PDE will have to be solved numerically. One such approximation is described here. See also Black–Scholes model#American options. The method essentially entails using the BS formula to compute the value of two European call options: (1) A European call with the same maturity as the American call being valued, but with the stock price reduced by the present value of the dividend, and (2) A European call that expires on the day before the dividend is to be paid. The largest of (1) and (2) is taken as the approximate value for the American call. See example aside. The resulting value is sometimes called the "pseudo American" value of the call. (Wikipedia).

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Polynomial approximations -- Calculus II

This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus II

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Approximating Functions in a Metric Space

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From playlist Approximation Theory

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Taylor polynomials -- Calculus II

This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus II

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Error bounds for Taylor approximations -- Calculus II

This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus II

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This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus II

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Minimax Approximation and the Exchange Algorithm

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From playlist Approximation Theory

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Linear Approximation for a Function Value (Function of Two Variables)

This video explains how to approximate a function value using a tangent plane or a linear approximation. http://mathispower4u.com

From playlist Partial Derivatives of functions of Two or More Variables

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http://www.blackpenredpen.com/math/Exam_Preps_files/Solve%20Abs%20Value%20Eq%20%26%20Ineq.pdf blackpenredpen.com

From playlist Solve Absolute Value Equations & Inequalities

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From playlist Partial Derivatives

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From playlist 2018 - T3 - Analytics, Inference, and Computation in Cosmology

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Get a Wonderful Person Tee: https://teespring.com/stores/whatdamath More cool designs are on Amazon: https://amzn.to/3wDGy2i Alternatively, PayPal donations can be sent here: http://paypal.me/whatdamath Hello and welcome! My name is Anton and this is a long compilation video of major disc

From playlist Long Science Videos

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From playlist Virtual Conference

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Making a Real-Time Black Hole in Unity!

In this video we explore how to make a real-time black hole in Unity. Enjoy! Download the Unity project: https://github.com/SimonVanSchuylenbergh/Real-Time-Black-Hole Follow up video where the shader is improved: https://youtu.be/HueBkCnWZBI 0:00 Intro 0:55 Math 13:09 Implementation 19:

From playlist Summer of Math Exposition 2 videos

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Lecture 5 | Modern Physics: Statistical Mechanics

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From playlist Lecture Collection | Modern Physics: Statistical Mechanics

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Black hole perturbation theory (Lecture 3) by Emanuele Berti

DATES Monday 25 Jul, 2016 - Friday 05 Aug, 2016 VENUE Madhava Lecture Hall, ICTS Bangalore APPLY Over the last three years ICTS has been organizing successful summer/winter schools on various topics of gravitational-wave (GW) physics and astronomy. Each school from this series aimed at foc

From playlist Summer School on Gravitational-Wave Astronomy

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Marc Favata: Analytic approximation methods for gravitational wave astronomy

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From playlist Numerical Relativity

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From playlist Matrices, Vectors, & 3D Math: Lecture Videos

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Measuring supermassive black hole mergers with LISA (Lecture 2) by Antoine Klein

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From playlist Astrophysics of Supermassive Black Holes 2019

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Polynomial approximation of functions (part 2)

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From playlist Calculus

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Cumulative distribution function | Black–Scholes model | Volatility (finance)