4. Large Industries annual bonds are selling at 102 (i.e., the price is $1,020 f
ID: 2660597 • Letter: 4
Question
4. Large Industries annual bonds are selling at 102 (i.e., the price is $1,020 for the $1,000 bond). There are 6 years remaining until maturity on the bonds and the yield to maturity is 5.75%. Find the coupon rate. (Note: you may have to use a trial and error solution method)
6. You have forecast that United Sports, Inc. will pay a dividend of $.50 next year (in time 1), $.80 two years from now (in time 2) and $1.20 three years from now (in time 3). For dividends beyond three years, you assume they will increase at 5% per year from the prior year. If the discount rate is 9%, calculate a fair price for the stock of United Sports, Inc.
Explanation / Answer
4)YTM={Interest+([Face value-Current price]/number of years)}/[Face value+current price]/2
Or 0.0575=Interest+([1000-1020]/6)/(1000+1020/2)
Or 0.0575*1010=Interest-3.33
Or Interest=61.41
Or rate of interest=6.141%
6)Fair value of the stock:
Present value of future cash flows
=0.50/1.09+0.8/(1.09)^2+1.2/(1.09)^3+1.26/(0.09-0.05)/(1.09)^3
=$26.38
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