The following are prices of call options traded on Pineapple inc., which pays no dividends   Call Options     Exercise price = $200 Exercise price = $205 one month $4.50 $3.00 three month $6.25 $5.00 six month $9.00 $7.50 The stock is trading at $202 and the annualized riskless rate is 2%. The standard deviation in ln(stock prices) (Based on historical data) is 15%. What is the implied standard deviation in the six month call with a strike price of $200?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter20: Financing With Derivatives
Section20.A: The Black-scholes Option Pricing Model
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The following are prices of call options traded on Pineapple inc., which pays no dividends

  Call Options  
  Exercise price = $200 Exercise price = $205
one month $4.50 $3.00
three month $6.25 $5.00
six month $9.00 $7.50

The stock is trading at $202 and the annualized riskless rate is 2%. The standard deviation in ln(stock prices) (Based on historical data) is 15%.

What is the implied standard deviation in the six month call with a strike price of $200?

Please show solution on excel or with formula. Thanks

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