You buy a share of stock, write a one-year call option with X = $20, and buy a o
ID: 2761152 • Letter: Y
Question
You buy a share of stock, write a one-year call option with X = $20, and buy a one-year put option with X = $20. Your net outlay to establish the entire portfolio is $18.60. What must be the risk-free interest rate? The stock pays no dividends. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
You buy a share of stock, write a one-year call option with X = $20, and buy a one-year put option with X = $20. Your net outlay to establish the entire portfolio is $18.60. What must be the risk-free interest rate? The stock pays no dividends. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Explanation / Answer
As per Call-Put parity equation :
C0-P0=S0-X/(1+Rf)
Here , C0 = Call option Price, P0 = Put option Price , X= Strike Price , Rf = risk free rate
Here , C0-P0 - S0 = -18.60
=> X/(1+Rf) = 18.60
=> 20/(1+Rf) = 18.60
=> Rf = 7.52%
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