To create a delta-neutral portfolio, the SIT fund has sold 10,000 at-the-money (ATM) put options on Epsilon stock with when the shares were trading at $100. The risk manager from SIT uses the Black-Scholes model to value all option exposures. The current price of the shares is $90. The annualized standard deviation of Epsilon stock returns is 40% and the option expires in six months. If the risk-free rate is 2%, approximately, what is the likelihood that this option will be exercised? 26 (a) 0.6839 (b) 0.7975 (c) 0.3161 (d) 0.2025

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 25P
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26. To create a delta-neutral portfolio, the SIT fund has sold 10,000 at-the-money (ATM) put options
on Epsilon stock with when the shares were trading at $100. The risk manager from SIT uses
the Black-Scholes model to value all option exposures. The current price of the shares is $90. The
annualized standard deviation of Epsilon stock returns is 40% and the option expires in six months.
If the risk-free rate is 2%, approximately, what is the likelihood that this option will be exercised?
26
(a) 0.6839
(b) 0.7975
(c) 0.3161
(d) 0.2025
Transcribed Image Text:26. To create a delta-neutral portfolio, the SIT fund has sold 10,000 at-the-money (ATM) put options on Epsilon stock with when the shares were trading at $100. The risk manager from SIT uses the Black-Scholes model to value all option exposures. The current price of the shares is $90. The annualized standard deviation of Epsilon stock returns is 40% and the option expires in six months. If the risk-free rate is 2%, approximately, what is the likelihood that this option will be exercised? 26 (a) 0.6839 (b) 0.7975 (c) 0.3161 (d) 0.2025
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