1a. A stock trades for $42 per share. A call option on that stock has a strike price of $54 and an expiration date six months in the future. The volatility of the stock's returns is 41%, and the risk- free rate is 5%. What is the Black and Scholes value of

Essentials Of Investments
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Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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1a. A stock trades for $42 per share. A
call option on that stock has a strike
price of $54 and an expiration date six
months in the future. The volatility of
the stock's returns is 41%, and the risk-
free rate is 5%.
What is the Black and Scholes value of
this option?
1b. A stock trades for $43 per share. A
call option on that stock has a strike
price of $54 and an expiration date
three months in the future. When the
volatility of the stock's returns is 30%,
the Black and Scholes value of the
option is $3.82. Now assume, the
volatility of the stock's returns is 55%,
and the risk-free rate is 3%.
The Black and Scholes value of this call
option is
Transcribed Image Text:1a. A stock trades for $42 per share. A call option on that stock has a strike price of $54 and an expiration date six months in the future. The volatility of the stock's returns is 41%, and the risk- free rate is 5%. What is the Black and Scholes value of this option? 1b. A stock trades for $43 per share. A call option on that stock has a strike price of $54 and an expiration date three months in the future. When the volatility of the stock's returns is 30%, the Black and Scholes value of the option is $3.82. Now assume, the volatility of the stock's returns is 55%, and the risk-free rate is 3%. The Black and Scholes value of this call option is
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