The possible movement in share price over the next 12 months is depicted in the 4-step Binomial
Question:
The possible movement in share price over the next 12 months is depicted in the 4-step Binomial tree shown below.
Key details are:
The proportional up and down movements on each branch of the tree are u = 1.1912 and d = 0.8395 respectively the risk-free interest rate is 4% pa continuously compounded
Let ST denote the share value one year from now (far right side of the Binomial tree).
A strange derivative security is based on this share. It has a payoff = sqrt(ST).
That is, if you buy this derivative today, one year from now you receive a payoff equal to the square root of whatever the share price is.
Required:
Using the 4-step Binomial tree, calculate the fair value of this derivative today.
Give your answer to at least 2 decimal places.
Financial Accounting and Reporting
ISBN: 978-0273744443
14th Edition
Authors: Barry Elliott, Jamie Elliott