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If two bonds have the same coupon rate and par value, but one has a longer maturity, which bond is likely to have a higher price?  A. The bond with the longer maturity  B. The bond with the shorter maturity  C. Both bonds will have the same price  D. Cannot be determined

Question

If two bonds have the same coupon rate and par value, but one has a longer maturity, which bond is likely to have a higher price?  A. The bond with the longer maturity  B. The bond with the shorter maturity  C. Both bonds will have the same price  D. Cannot be determined

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Solution

B. The bond with the shorter maturity

Here's why:

  1. The price of a bond is determined by the present value of its future cash flows, which are the coupon payments and the par value at maturity.

  2. When the coupon rate and par value are the same, the only difference between the two bonds is the time until maturity.

  3. The longer the time until maturity, the more uncertainty there is about what will happen in the future. This uncertainty is a risk that investors require compensation for, which comes in the form of a higher yield to maturity.

  4. When the yield to maturity is higher, the price of the bond is lower. This is because the price of the bond is the present value of its future cash flows discounted at the yield to maturity.

  5. Therefore, all else being equal, a bond with a longer maturity will have a lower price than a bond with a shorter maturity.

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