You just bought a newly issued bond which has a face value of $1,000 and pays its coupon once annually. Its coupon rate is 6%, maturity is 20 years and the yield to maturity for the bond is currently 8%. Suppose that one year after you bought the bond, the yield to maturity of the bond declines to 7%. Find the (before-tax) total dollar return (dollar returns from the coupon payment and capital gains) for the one-year investment period.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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You just bought a newly issued bond which has a face value of $1,000 and pays its coupon once annually. Its coupon rate is 6%, maturity is 20 years and the yield to maturity for the bond is currently 8%.

Suppose that one year after you bought the bond, the yield to maturity of the bond declines to 7%. Find the (before-tax) total dollar return (dollar returns from the coupon payment and capital gains) for the one-year investment period. 

Expert Solution
Step 1

Price at which the bond is purchased is the present value of all the expected cash flows in the form of coupons and maturity value.

Here,

Face Value "FV" = $1000

Annual coupon rate = 6%

Annual coupon "PMT" = 6%*$1000 = $60

Number of years to maturity "n" = 20

Yield to maturity "YTM" = 8%

 

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