Assume the Black-Scholes framework. For t 0, let S(t) be the time-t price of a stock.

Question:

Assume the Black-Scholes framework. For t ≥ 0, let S(t) be the time-t price of a stock. You are given:

(i) S(0) = 65.

(ii) The stock pays dividends continuously at a rate proportional to its price. The dividend yield is 3%.

(iii) The stock’s volatility is 25%.

(iv) The continuously compounded risk-free interest rate is 6%.

Consider a special 1-year European “truncated” call option with payoff given by

Payoff= S(1)-60, 0, if 60 S(1) 80, otherwise.

Calculate the time-0 delta of this special call option.

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Derivative Pricing

ISBN: 9780367734213

1st Edition

Authors: Ambrose Lo

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Question Posted: Dec 07, 2023 06:08 AM

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Assume the Black-Scholes framework. For t 0, let S(t) be the time-t price of a stock.

Question:

Payoff= S(1)-60, 0, if 60 ≤ S(1) ≤ 80, otherwise.

Step by Step Answer:

Since Payoff S1601 60 80 S160S1601s180 the given truncated ca...View the full answer

Derivative Pricing

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