Let S = $40, K = $45, σ = 0.30, r = 0.08, δ = 0, and T = {0.25, 0.5, 1, 2, 3, 4, 5, 100}. Compute the prices of knock-out calls with a barrier of $38. Compute the ratio of the knock-out call prices to the prices of standard calls. Explain the pattern you see.

Let S = $40, K = $45, σ = 0.30, r = 0.08, δ = 0, and T = {0.25, 0.5, 1, 2, 3, 4, 5, 100}. Compute the prices of knock-out calls with a barrier of $38. Compute the ratio of the knock-out call prices to the prices of standard calls. Explain the pattern you see.

Financial Reporting, Financial Statement Analysis and Valuation

8th Edition

ISBN:9781285190907

Author:James M. Wahlen, Stephen P. Baginski, Mark Bradshaw

Publisher:James M. Wahlen, Stephen P. Baginski, Mark Bradshaw

Chapter11: Risk-adjusted Expected Rates Of Return And The Dividends Valuation Approach

Section: Chapter Questions

Problem 4QE

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Question

Let S = $40, K = $45, σ = 0.30, r = 0.08, δ = 0, and T = {0.25, 0.5, 1, 2, 3, 4, 5, 100}.

Compute the prices of knock-out calls with a barrier of $38.

Compute the ratio of the knock-out call prices to the prices of standard calls. Explain the pattern you see.

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