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Binomial - Risk neutral probability and value of call option

17. A stock price is currently $100. Over each of the next two three-month periods it is expected to increase by 10% or fall by 10%. Consider a six-month European call option with a strike price of $105. The risk-free rate is 8%. What is the risk-neutral probability of a 10% rise in both quarters?
a. 0.10
b. 0.24
c. 0.36
d. 0.60
e. 0.84

18. A stock price is currently $100. Over each of the next two three-month periods it is expected to increase by 10% or fall by 10%. Consider a six-month European call option with a strike price of $105. The risk-free rate is 8%. What is the value of the call option?
a. $6.25
b. $5.55
c. $5.00
d. $4.50
e. $4.05

Solution Preview

See the attached file. The correct answers are c 0.36 and b 5.55

A stock price is currently $100. Over each of the next two three-month periods it is expected to increase by 10% or fall by 10%. Consider a six-month European call option with a strike price of $105. The risk-free rate is 8%. What is the risk-neutral probability of a 10% rise in the first ...

Solution Summary

Illustrates the use of binomial tree model for calculation of Risk neutral probability and value of call option with two conceptual questions. Solution provide detailed answers.

$2.19