Question

You own one call option with an exercise price of $30 on Nadia stock. This stock is currently selling for $27.80 a share but is expected to increase to either $28 or $34 a share over the next year. The risk-free rate of return is 5 percent. What is the current per share value of your option if it expires in one year

Answer 1

Answer: 0.755

Explanation:

From the information given, the current per share value of the option if it expires in one year will be calculated as follows:

Firstly, we calculate the present value which will be:

= $28 / ( 1 + 0.05 )

= $28/1.05

= $26.667

The number of options needed will be:

= ( 34 - 28 )/ ( 4-0)

= 6/4

= 1.5

Therefore,

27.80 = (1.5 x Co) + [28 / (1+0.05)]

27.80 = 1.5Co + (28/1.05)

27.80 = 1.5Co + 26.667

1.5Co = 28.0 - 26.667

1.5Co = 1.1333

Co = 0.755

Therefore, the answer is 0.755