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Elan Coil [88]
3 years ago
9

A 20-year maturity bond with par value of $1,000 makes annual coupon payments at a coupon rate of 8%. Find the bond equivalent a

nd effective annual yield to maturity of the bond for the following bond prices.
a. What is the bond’s yield to maturity if the bond is selling for $970?
b. What is the bond’s yield to maturity if the bond is selling for $1,000?
c. What is the bond’s yield to maturity if the bond is selling for $1,170?
Business
1 answer:
motikmotik3 years ago
4 0

Answer:

since you are required to calculate the effective yield to maturity, you cannot use the approximate YTM formula since it is not exact. You will need to use a financial calculator, online calculator or excel spreadsheet. I prefer to use an excel spreadsheet and use the IRR function:

a) initial outlay = -$970

cash flows 1 - 19 = $80

cash flow 20 = $1,080

IRR = 8.31%

Since the bond is sold at a discount, the effective yield will be higher than the coupon rate.

b) if hte bond is sodl at par, the effective yield to maturity is the coupon rate = 8%

c) initial outlay = -$1,170

cash flows 1 - 19 = $80

cash flow 20 = $1,080

IRR = 6.49%

Since the bond is sold at a premium, the effective yield will be lower than the coupon rate.

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