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An investor has two bonds in his portfolio that both have a face value of $1,000

ID: 2735511 • Letter: A

Question

An investor has two bonds in his portfolio that both have a face value of $1,000 and pay a 12% annual coupon. Bond L matures in 12 years, while Bond S matures in 1 year.

Assume that only one more interest payment is to be made on Bond S at its maturity and that 12 more payments are to be made on Bond L.

What will the value of the Bond L be if the going interest rate is 6%? Round your answer to the nearest cent.
$   

What will the value of the Bond S be if the going interest rate is 6%? Round your answer to the nearest cent.
$   

What will the value of the Bond L be if the going interest rate is 10%? Round your answer to the nearest cent.
$   

What will the value of the Bond S be if the going interest rate is 10%? Round your answer to the nearest cent.
$   

What will the value of the Bond L be if the going interest rate is 13%? Round your answer to the nearest cent.
$   

What will the value of the Bond S be if the going interest rate is 13%? Round your answer to the nearest cent.
$   

Why does the longer-term bond’s price vary more than the price of the shorter-term bond when interest rates change?

Long-term bonds have lower interest rate risk then do short-term bonds.

Long-term bonds have lower reinvestment rate risk then do short-term bonds.

The change in price due to a change in the required rate of return increases as a bond's maturity decreases.

Long-term bonds have greater interest rate risk then do short-term bonds.

The change in price due to a change in the required rate of return decreases as a bond's maturity increases.

Explanation / Answer

Long-term bonds have greater interest rate risk then do short-term bonds. With short-term bonds, this risk is not as significant because interest rates are less likely to substantially change in the short term. Short-term bonds are also easier to hold until maturity, thereby alleviating an investor's concern about the effect of interest rate driven changes in the priceof bonds.

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