Amazon’s stock price is currently $3,084 and call options with exactly 3 months to expiration and an exercise price of $3,100 are quoted at $208. The 3-month T-bill rate is currently 0.75% and the stock does not pay dividends. Based on this information, what is the implied standard deviation of Amazon stock returns, in annual terms, over the next 3 months?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter20: Financing With Derivatives
Section20.A: The Black-scholes Option Pricing Model
Problem 1P
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Amazon’s stock price is currently $3,084 and call options with exactly 3 months to expiration and an exercise price of $3,100 are quoted at $208. The 3-month T-bill rate is currently 0.75% and the stock does not pay dividends. Based on this information, what is the implied standard deviation of Amazon stock returns, in annual terms, over the next 3 months? Please calculate by hand.

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