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Mathematical Finance Fundamentals

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Mathematical Finance Introduction Video

Lec 01 Introduction to Financial Markets and Bonds

Lec 02 Introduction to Stocks Futures Forwards and Swaps

Lec 03 Introduction to Options

Lec 04 Interest Rates and Present Value

Lec 05 Present Future Values Annuities Amortization and Bond Yield

Lec 06 Price Yield Curve and Term Structure of Interest Rates

Lec 07 Markowitz Theory Return Risk and Two Asset Portfolio

Lec 08 Minimum Variance Portfolio and Feasible Set

Lec 09 Multi Asset Portfolio Min Variance Portfolio Efficient Frontier Min Variance Line

Lec 10 Minimum Variance Line Continued Market Portfolio

Lec 11 Capital Market Line Capital Asset Pricing Model

Lec 12 Performance Analysis

Lec 13 No Arbitrage Principle and Pricing of Forward Contracts

Lec 14 Futures Options and Put Call Parity

Lec 15 Bounds on Options

Lec 16 Derivative Pricing in a Single Period Binomial Model

Lec 17 Derivative Pricing in Multiperiod Binomial Model

Lec 18 Derivative Pricing in Binomial Model and Path Dependent Options

Lec 19 Discrete Probability Spaces

Lec 20 Filtrations and Conditional Expectations

Lec 21 Properties of Conditional Expectations

Lec 22 Examples of Conditional Expectations Martingales

Lec 23 Risk Neutral Pricing of European Derivatives in Binomial Model

Lec 24 Actual and Risk Neutral Probabilities Markov Process American Options

Lec 25 General Probability Spaces Expectations Change of Measure

Lec 26 Filtrations Independence Conditional Expectations

Lec 27 Brownian Motion and its Properties

Lec 28 Itô Integral and its Properties

Lec 29 Itô Formula Itô Processes

Lec 30 Multivariable Stochastic Calculus Stochastic Differential Equations

Lec 31 Black Scholes Merton BSM Model BSM Equation BSM Formula

Lec 32 Greeks Put Call Parity Change of Measure

Lec 33 Girsanov Theorem Risk Neutral Pricing of Derivatives BSM Formula

Lec 34 MRT and Hedging Multidimensional Girsanov and MRT

Lec 35 Multidimensional BSM Model Fundamental Theorems of Asset Pricing

Lec 36 BSM Model with Dividend Paying Stocks

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Mathematical Finance course in hindi, in ths course explore the application of mathematical models and techniques in financial analysis, risk management, and investment strategies.

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