Question

Assume stock A costs $100 at t = 0 in a two-period world. There are two scenarios at t = 1: good and bad. In the good scenario the stock price rises to 120 dollars and in the bad scenario stock price declines to 70. The probability of both these scenarios is p = 0.5. The annual riskless rate is 10%. Your broker offers you a call option with strike price of $110 for $4.60. Will you take up his offer? Why or why not?

Answer 1

Answer:

The offer at $4.60 by the broker is higher than the calculated fair value of $4.545 hence i will not take up his offer

Explanation:

Given data:

stock A = $100 at  t = 0  

in two worlds : good scenario ; stock A  = $120

                         bad scenario ; stock A = $70

probability = 0.5

annual risk less rate = 10% = 0.1

To determine if to take the offer or not we have to calculate the call option using the given parameters

Cu = $\frac{(0.5*10) + (0.5*0)}{(1 + 0.10)}$  = $4.545

The offer at $4.60 by the broker is higher than the calculated fair value of $4.545 hence i will not take up his offer