In: Finance
Question 1
A non – dividend – paying stock with a current price of £52, the strike price is £50, the volatility is 30% pa, the risk free interest rate is 12% pa, and the time to maturity is 3 months?
b) Calculate the price of a put option price on this stock?
b) Calculate the price of a call option on this stock
c) Is the put-call parity of these options hold?
If possible, please provide a detailed step by step as I would like to fully understand and not just copy answers. Thank you :)
1.
5.0574
2.
1.5797
3.
Put call parity states that
S+P=C+Xe^(-rt)
S+P=52+1.5797=53.5797
C+Xe^(-rt)=5.0574+50*e^(-12%*3/12)=53.5797
Hence, put call parity holds