(Bond valuation) At the beginning of the year, you bought a $1,000 par value cor
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Question
(Bond valuation) At the beginning of the year, you bought a $1,000 par value corporate bond with an annual coupon rate of 8 percent and a maturity date of 18 years. When you bought the bond, it had an expected yield to maturity of 11 percent. Today the bond sells for $910. a. What did you pay for the bond? b. If you sold the bond at the end of the year, what would be your one-period return on the investment? Assume that yisel tlid163 itse:2'siy liikiitmsearrr!::nt illning thn h.xlding3 Ba::n.wi. a. The price you paid for the bond is $ (Round to the nearest cent.) b. If you sold the bond today, your one-period return on the investment is L96. (Round to two decimal places.)Explanation / Answer
Answer 1-a.
Par Value = $1,000
Annual Coupon = 8%*$1,000 = $80
YTM = 11%
Time to maturity = 18 years
Price of Bond = $80 * PVIFA(11%, 18) + $1,000 * PVIF(11%, 18)
Price of Bond = $80 * (1 - (1/1.11)^18) / 0.11 + $1,000 / 1.11^18
Price of Bond = $768.95
Answer 1-b.
Period Return = (Selling Price - Purchase Price + Coupon) / Purchase Price
Period Return = ($910 - $768.95 + $80) / $768.95
Period Return = 28.75%
Answer 2-a.
Par Value = $1,000
Annual Coupon Rate = 13%
Semi-annual Coupon Rate = 6.50%
Semi-annual Coupon = 6.50%*$1,000 = $65
Annual YTM = 16%
Semi-annual YTM = 8%
Time to maturity = 9 years
Price of Bond = $65 * PVIFA(8%, 18) + $1,000 * PVIF(8%, 18)
Price of Bond = $65 * (1 - (1/1.08)^18) / 0.08 + $1,000 / 1.08^18
Price of Bond = $859.42
Answer 2-b.
Par Value = $1,000
Annual Coupon Rate = 13%
Annual Coupon = 13%*$1,000 = $130
Annual YTM = 16%
Time to maturity = 9 years
Price of Bond = $130 * PVIFA(16%, 9) + $1,000 * PVIF(16%, 9)
Price of Bond = $130 * (1 - (1/1.16)^9) / 0.16 + $1,000 / 1.16^9
Price of Bond = $861.80
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