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Quantitative Thinking

May 4, 2009. Black Scholes using Hedging and the Partial Differential Equation. Using the Black Scholes model assumptions. We assume that the underlying stock follows Geometric Brownian Motion. To denote the value of a portfolio of one long option position and a short position in some quantity. The value of the portfolio will change. This change in value is partly due to the change in the option value and partly to the change in the underlying. From Ito's Lemma we have. Substituting, the value of. Above ...

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May 4, 2009. Black Scholes using Hedging and the Partial Differential Equation. Using the Black Scholes model assumptions. We assume that the underlying stock follows Geometric Brownian Motion. To denote the value of a portfolio of one long option position and a short position in some quantity. The value of the portfolio will change. This change in value is partly due to the change in the option value and partly to the change in the underlying. From Ito's Lemma we have. Substituting, the value of. Above ...
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Quantitative Thinking | shahamit.com Reviews

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May 4, 2009. Black Scholes using Hedging and the Partial Differential Equation. Using the Black Scholes model assumptions. We assume that the underlying stock follows Geometric Brownian Motion. To denote the value of a portfolio of one long option position and a short position in some quantity. The value of the portfolio will change. This change in value is partly due to the change in the option value and partly to the change in the underlying. From Ito's Lemma we have. Substituting, the value of. Above ...

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Quantitative Thinking: May 2009

http://www.shahamit.com/2009_05_01_archive.html

May 4, 2009. Black Scholes using Hedging and the Partial Differential Equation. Using the Black Scholes model assumptions. We assume that the underlying stock follows Geometric Brownian Motion. To denote the value of a portfolio of one long option position and a short position in some quantity. The value of the portfolio will change. This change in value is partly due to the change in the option value and partly to the change in the underlying. From Ito's Lemma we have. Substituting, the value of.

2

Quantitative Thinking: Black Scholes using Hedging and the Partial Differential Equation

http://www.shahamit.com/2009/05/black-scholes-using-hedging-and-partial.html

May 4, 2009. Black Scholes using Hedging and the Partial Differential Equation. Using the Black Scholes model assumptions. We assume that the underlying stock follows Geometric Brownian Motion. To denote the value of a portfolio of one long option position and a short position in some quantity. The value of the portfolio will change. This change in value is partly due to the change in the option value and partly to the change in the underlying. From Ito's Lemma we have. Substituting, the value of.

3

Quantitative Thinking: April 2009

http://www.shahamit.com/2009_04_01_archive.html

April 29, 2009. American Option on a non-dividend paying stock. It is never optimal to exercise an American option on a non-dividend paying stock for certain values of risk-free rate r. We know that at maturity following relation is true, for a stock price process. Discounting the above equations using the risk free rate r to time t, we obtain. Is the European option price. We also know that,. Is the continuation price for an American option. Thus,. Subscribe to: Posts (Atom). View my complete profile.

4

Quantitative Thinking: February 2009

http://www.shahamit.com/2009_02_01_archive.html

February 26, 2009. I am creating this blog to share the knowledge, I am gaining while doing my MSc in Mathematical Trading and Finance. Business school. I am hoping that this blog will be helpful to anyone who is interested in the subject. My aim is to provide, where possible, intution behind the Mathematics involved and present the material in a simple manner. Subscribe to: Posts (Atom). View my complete profile.

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Quantitative Thinking: Black Scholes Assumptions

http://www.shahamit.com/2009/03/black-scholes-assumptions.html

March 16, 2009. The Black-Scholes model of the market for an equity makes the following explicit assumptions:. It is possible to borrow and lend cash at a known constant risk-free interest rate. The stock price follows a geometric Brownian motion with constant drift and. And they are lognormally distributed. There are no transaction costs. The stock does not pay a dividend (this was modified by Merton later on). There are no restrictions on short selling. Subscribe to: Post Comments (Atom).

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Quantitative Thinking

May 4, 2009. Black Scholes using Hedging and the Partial Differential Equation. Using the Black Scholes model assumptions. We assume that the underlying stock follows Geometric Brownian Motion. To denote the value of a portfolio of one long option position and a short position in some quantity. The value of the portfolio will change. This change in value is partly due to the change in the option value and partly to the change in the underlying. From Ito's Lemma we have. Substituting, the value of. Above ...

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