Suppose the current value of a popular stock index is 650.50 and the dividend yield on the index is 3.0%. Also, the yield curve is flat at a continuously compounded rate of 6.5%. a. If you estimate the volatility factor for the index to be 16%, use the Black-Scholes model to calculate the value of an index call option with an exercise price of 664 and an expiration date in exactly three months. You may use Appendix D to answer the question. Do not round intermediate calculations. Round your answer to the nearest cont. $ b. If the actual market price of this option is $19.10, calculate the implied volatility coefficient. Do not round intermediate calculations. Round your answer to two decimal places.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Problem 16-06
Suppose the current value of a popular stock index is 650.50 and the dividend yield on the index is 3.0%. Also, the yield curve is flat at a
continuously compounded rate of 6.5%.
a. If you estimate the volatility factor for the index to be 16%, use the Black-Scholes model to calculate the value of an index call option
with an exercise price of 664 and an expiration date in exactly three months. You may use Appendix D to answer the question. Do not
round intermediate calculations. Round your answer to the nearest cent.
$
b. If the actual market price of this option is $19.10, calculate the implied volatility coefficient. Do not round intermediate calculations.
Round your answer to two decimal places.
%
Transcribed Image Text:Problem 16-06 Suppose the current value of a popular stock index is 650.50 and the dividend yield on the index is 3.0%. Also, the yield curve is flat at a continuously compounded rate of 6.5%. a. If you estimate the volatility factor for the index to be 16%, use the Black-Scholes model to calculate the value of an index call option with an exercise price of 664 and an expiration date in exactly three months. You may use Appendix D to answer the question. Do not round intermediate calculations. Round your answer to the nearest cent. $ b. If the actual market price of this option is $19.10, calculate the implied volatility coefficient. Do not round intermediate calculations. Round your answer to two decimal places. %
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