question archive The price of a European call option that expires in 6 months and has a strike price of $115 is $10

The price of a European call option that expires in 6 months and has a strike price of $115 is $10

Subject:FinancePrice:2.86 Bought14

The price of a European call option that expires in 6 months and has a strike price of $115 is $10.25. The underlying non-dividend-paying stock price is $115. Risk-free interest rates for all maturities are 4% (continuously compounded). What is the price of a European put option on this stock that expires in 6 months and has a strike price of $115?

put option price is ?

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As per Call Put Partiy

Strike Price * e^(-r*t) + Premium on Call Option = Current Value of Stock + Premium on Put Option

where r is the risk free rate of return i.e. 0.04

t is the time period 6/12 = 0.50

115 * e^(-0.04*0.50) + 10.25 = 115 + P

115 * 0.9801986733 + 10.25 = 115 + P

112.72284743 + 10.25 = 115 + P

P = 122.97 - 115

P = 7.97