9. An elementary single period market model contains a risk-free asset with interest rate r = 5% and a risky asset S which has price 30 at time t = 0 and will have either price 10 or 60 at time t = 1. Find a replicating strategy for a contingent claim with payoff h(S₁) = max(20 - S₁, 0) + max(S₁ — 50, 0). Total [8 Marks]

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
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Problem 8RE: Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25...
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9. An elementary single period market model contains a risk-free asset with interest rate
r = 5% and a risky asset S which has price 30 at time t = 0 and will have either price
10 or 60 at time t = 1. Find a replicating strategy for a contingent claim with payoff
h(S₁) = max(20 - S₁, 0) + max(S₁ — 50, 0).
Total [8 Marks]
Transcribed Image Text:9. An elementary single period market model contains a risk-free asset with interest rate r = 5% and a risky asset S which has price 30 at time t = 0 and will have either price 10 or 60 at time t = 1. Find a replicating strategy for a contingent claim with payoff h(S₁) = max(20 - S₁, 0) + max(S₁ — 50, 0). Total [8 Marks]
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