A call option with 1 month to expiration currently sells for $0.70. A put option with the same expiration sells for $1.10. The options are European style. The risk-free rate is 3 percent per year and the strike price of both options is $17.50. What is the current stock price?
Select one:
a. $17.06
b. $17.63
c. $17.29
d. $17.86
e. $16.87
We will solve the question by using the put-call parity formula :
Let the current stock price be X.
Call premium = $0.70
Put premium = $1.1
PV of strike price : As per the formula given in the image above : = $17.5 / (1+3%/12) = $17.46
Putting the above values in the formula :
0.70 + 17.46 = X + 1.1
X = $17.06
OPTION A
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