You are presented with the following information:
A call option with a current value of $10.80. A put option with a current value of $8.60. Both options written on the same stock and both with 1 year until expiration. The current price of the stock is $46.00 and the prevailing risk-free rate is 7.00%. What must be the striking price of either option? *** In your calculations, use simple discounting instead of continuous discounting. Also, do not enter the dollar sign and use two decimals (round off to 2 decimals).
As per Call Put Partiy
where r is the risk free rate of return i.e. 0.07
t is the time period 1
K * e^(-r*t) + 10.80 = 46 + 8.60
K * e^(-0.07*1) + 10.80 = 46 + 8.60
K * 0.9323938199 + 10.80 = 54.6
K = (54.6 - 10.80) / 0.9323938199
K = $ 46.98 OR 47 (Approx)
Strike Price is 46.98 OR 47
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