Company Monash's share price is currently traded at $100. Over each of the next two 6-month periods,
Question:
Company Monash's share price is currently traded at $100. Over each of the next two 6-month periods, it is expected to go up by 10% or down by 10%. The risk-free interest rate is 10% per annum with continuous compounding. (Required: Show your work step by step)
(a) Consider a 12-month European put option with a strike price of $102, calculate the option values at nodes A to F in the following binomial tree. Use the risk-neutral valuation approach of the binomial tree model. Show your calculation and explain.
|
| Node D |
Suu = 121 | ||
fuu = | ||
| Node B |
|
Su = 110 | ||
fu = | ||
Node A |
| Node E |
S= 100 | Sud = 99 | |
f = | fud = | |
| Node C |
|
Sd = 90 | ||
fd = | ||
|
| Node F |
Sdd = 81 | ||
fdd = |
(b) If the value of a 12-month European call option with a strike price of $102 is $6.2, check whether the put-call parity hold.
(c) If the put option is American, would it be optimal to exercise it early at nodes A, B, and C? Show your calculation and explain.
Modern Advanced Accounting In Canada
ISBN: 9781259066481
7th Edition
Authors: Hilton Murray, Herauf Darrell