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).
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
Approximating Functions in a Metric Space
Approximations are common in many areas of mathematics from Taylor series to machine learning. In this video, we will define what is meant by a best approximation and prove that a best approximation exists in a metric space. Chapters 0:00 - Examples of Approximation 0:46 - Best Aproximati
From playlist Approximation Theory
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
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
Accuracy of 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
Minimax Approximation and the Exchange Algorithm
In this video we'll discuss minimax approximation. This is a method of approximating functions by minimisation of the infinity (uniform) norm. The exchange algorithm is an iterative method of finding the approximation which minimises the infinity norm. FAQ : How do you make these animatio
From playlist Approximation Theory
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
Equations with Two Absolute Values (ex3)
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
Linear Approximations and Differentials
Linear Approximation In this video, I explain the concept of a linear approximation, which is just a way of approximating a function of several variables by its tangent planes, and I illustrate this by approximating complicated numbers f without using a calculator. Enjoy! Subscribe to my
From playlist Partial Derivatives
Gravitational Waves and Theory - L. Blanchet - Workshop 1 - CEB T3 2018
Luc Blanchet (IAP, Paris) / 19.09.2018 Gravitational Waves and Theory ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://twitter.com/InHenriPoincar
From playlist 2018 - T3 - Analytics, Inference, and Computation in Cosmology
Biggest Scientific Discoveries About Milky Way Galaxy In 2022 - Video Compilation
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
Luc Blanchet: Theory of gravitational waves and approximation methods in general relativity
CIRM VIRTUAL EVENT Recorded during the meeting "Theory of Gravitation and Variation in Cosmology" the April 15, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematic
From playlist Virtual Conference
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
Lecture 5 | Modern Physics: Statistical Mechanics
April 27, 2009 - Leonard Susskind discusses the basic physics of the diatomic molecule and why you don't have to worry about its structure at low temperature. Susskind later explores a black hole thermodynamics. Stanford University: http://www.stanford.edu/ Stanford Continuing Studi
From playlist Lecture Collection | Modern Physics: Statistical Mechanics
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
Marc Favata: Analytic approximation methods for gravitational wave astronomy
PROGRAM: NUMERICAL RELATIVITY DATES: Monday 10 Jun, 2013 - Friday 05 Jul, 2013 VENUE: ICTS-TIFR, IISc Campus, Bangalore DETAL Numerical relativity deals with solving Einstein's field equations using supercomputers. Numerical relativity is an essential tool for the accurate modeling of a wi
From playlist Numerical Relativity
This video covers all of Chapter 3.4. These videos are associated the textbook by Scott Stevens entitled Matrices, Vectors, & 3D Math; A Game-Programming approach with MATLAB (http://www.StevensMV3D.com).
From playlist Matrices, Vectors, & 3D Math: Lecture Videos
Measuring supermassive black hole mergers with LISA (Lecture 2) by Antoine Klein
DISCUSSION MEETING ASTROPHYSICS OF SUPERMASSIVE BLACK HOLES ORGANIZERS: Parameswaran Ajith, K. G. Arun, Suchetana Chatterjee and Bala R. Iyer DATE: 17 December 2019 to 19 December 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore There is overwhelming evidence for the existence of sup
From playlist Astrophysics of Supermassive Black Holes 2019
Polynomial approximation of functions (part 2)
Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series) More free lessons at: http://www.khanacademy.org/video?v=3JG3qn7-Sac
From playlist Calculus