Chapter 03 · Section 3.1

Binomial Pricing Question 7

XYZ costs 185.90. Knowing that the probabilities for a rise or fall are 50 % and that the risk free interest rate is 10%, what is the value of the call with an exercise price of 100 at the end of the second period?

The possible option values, at the end of the 2nd period, are a function of the risk free interest rate during the period in question (10%), the option values at the following period and the probability of attaining these values. The calculation is performed in the following manner: (1/(1+interest rate)) x {(3rd period value of call x probability of attaining that value) + (3rd period value of call x probability of attaining that value)}.