A stock is currently trading at $54 and we assume a three-period binomial tree model where each period the stock can either increase by 20%, or fall by 18%. Each step in the tree is 3 months. The interest rate is 1.1% per year (continuous compounding). In this model, what is the risk-neutral probability that the stock price will go up twice and drop once over the three periods? [Provide your answer as a percentage rounded to two decimals, i.e. 40.25 for 0.4025-40.25%]

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter8: Basic Stock Valuation
Section: Chapter Questions
Problem 8P: A stock is trading at $80 per share. The stock is expected to have a yearend dividend of $4 per...
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A stock is currently trading at $54 and we assume a three-period binomial tree model where each period the stock
can either increase by 20%, or fall by 18%. Each step in the tree is 3 months. The interest rate is 1.1% per year
(continuous compounding). In this model, what is the risk-neutral probability that the stock price will go up twice
and drop once over the three periods? [Provide your answer as a percentage rounded to two decimals, i.e. 40.25
for 0.4025=40.25%]
Transcribed Image Text:A stock is currently trading at $54 and we assume a three-period binomial tree model where each period the stock can either increase by 20%, or fall by 18%. Each step in the tree is 3 months. The interest rate is 1.1% per year (continuous compounding). In this model, what is the risk-neutral probability that the stock price will go up twice and drop once over the three periods? [Provide your answer as a percentage rounded to two decimals, i.e. 40.25 for 0.4025=40.25%]
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