Assume the Black-Scholes framework. You are given: i. S (t) is the stock price at time t. ii. The stock's volatility is 25%. iii. The continuously compounded expected rate of return is 8%. iv. The stock pays dividends continuously at a rate of 3% proportional to its price. v. The continuously compounded risk-free interest rate is 4%. vi. The current stock price is S (0) - 125. Calculate Pr (S (4) > 150 S (2) - 120).

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Assume the Black-Scholes framework. You are given:
i. S(t) is the stock price at time t.
ii. The stock's volatility is 25%.
iii. The continuously compounded expected rate of return is 8%.
iv.
The stock pays dividends continuously at a rate of 3% proportional to its price.
v. The continuously compounded risk-free interest rate is 4%.
vi. The current stock price is S (0) 125.
Calculate Pr (S (4) > 150 S (2) - 120).
Possible Answers
A.
0.30
0.40
C 0.65
D.
0.70
0.85
Transcribed Image Text:Assume the Black-Scholes framework. You are given: i. S(t) is the stock price at time t. ii. The stock's volatility is 25%. iii. The continuously compounded expected rate of return is 8%. iv. The stock pays dividends continuously at a rate of 3% proportional to its price. v. The continuously compounded risk-free interest rate is 4%. vi. The current stock price is S (0) 125. Calculate Pr (S (4) > 150 S (2) - 120). Possible Answers A. 0.30 0.40 C 0.65 D. 0.70 0.85
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