In: Finance
The common stock of Texas Energy Company is selling at $90. A
1-year call option
written on Texas’s stock is selling for $8. The call’s exercise
price is $100. The risk-free
interest rate is 1% per year. Suppose that puts on Texas stock are
not tradable, but you
want to hold one. How would you do it? Suppose that puts are
traded, what should a 1-
year put with an exercise price of $100 sell for?
To create a synthetic put: Buy 1 call, sell 1 share of underlying stock and invest/lend money at risk free rate of 1%.
Using Put Call parity
P=C+X/(1+r)^t-S=8+100/(1+1%)^1-90=17.010
Price of put=17.010