(c) Construct risk-neutral probabilitiès för and verify the risk-neutral value for the call option is the same as the value given by the replicating portfolio.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter2: Fundamental Economic Concepts
Section: Chapter Questions
Problem 6E
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1. In a one-period model, the share price starts at $12 and in one year's
time is either $24 or $6. Simple interest on USD is 20% per year.
(a) Construct a replicating portfolio for a one year call option with
strike K = $15.
(b) Explain how The Law of One Price allows you to calculate the pre-
mium of the call option.
(c) Construct risk-neutral probabilities for the model for the share price
and verify the risk-neutral value for the call option is the same as the
value given by the replicating portfolio.
|3D
Transcribed Image Text:1. In a one-period model, the share price starts at $12 and in one year's time is either $24 or $6. Simple interest on USD is 20% per year. (a) Construct a replicating portfolio for a one year call option with strike K = $15. (b) Explain how The Law of One Price allows you to calculate the pre- mium of the call option. (c) Construct risk-neutral probabilities for the model for the share price and verify the risk-neutral value for the call option is the same as the value given by the replicating portfolio. |3D
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