What is the estimated floor price of the convertible at the end of Year 3?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter6: Fixed-income Securities: Characteristics And Valuation
Section: Chapter Questions
Problem 15P
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Valdes Enterprises is considering issuing a 10-year convertible bond that would be priced at its $1,000 par value. The bonds would have an 8.00% annual coupon, and each bond could be converted into 20 shares of common stock.  The required rate of return on an otherwise similar nonconvertible bond is 10.00%.  The stock currently sells for $40.00 a share, has an expected dividend in the coming year of $2.00, and has an expected constant growth rate of 5.00%.  What is the estimated floor price of the convertible at the end of Year 3?

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Information Provided:

Annual coupon = 8%

Required rate = 10%

Stock price = $40 per share

Expected Dividend = $2

Growth rate = 5%

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