Bond A is a $1,000, 6% quarterly coupon bond with 5 years to maturity. (a)  If you bought Bond A today at a yield (APR) of 8%, what is your purchase price? Is this a premium or discount bond? Why?  (b)  One year later, Bond A's YTM (APR) has gone down to 6% and you sell it immediately after receiving the coupon. (i)  What is the current yield?  (ii)  What is the capital gains yield?

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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Question 3 (Bond and Equity Valuation)

Bond A is a $1,000, 6% quarterly coupon bond with 5 years to maturity.

  1. (a)  If you bought Bond A today at a yield (APR) of 8%, what is your purchase price? Is this a premium or discount bond? Why? 

  2. (b)  One year later, Bond A's YTM (APR) has gone down to 6% and you sell it immediately after receiving the coupon.

    1. (i)  What is the current yield? 

    2. (ii)  What is the capital gains yield? 

    3. (iii)  What is the one-year total rate of return (in APR) if the coupons are reinvested at 2% per quarter during the holding period? 

    4. (iv)  Can Bond A’s one-year total rate of return be determined correctly by simply adding up the current yield and the capital gains yield? Explain your answer without calculations. 

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