Use your knowledge of bond pricing to explain under what circumstances you would be willing to pay the same price for a consol that pays $5 a year forever, and a 5 percent, 10-year coupon bond with a face value of $100 that only makes annual coupon payments for 10 years, at which point principal is returned. You would be willing to pay the same price for the bonds if: the interest rate you use to discount future payments is lower than 5 percent, since that would ensure the 10-year bond would be worth the same as the consol. O you expect to only be around for another 10 years. the interest rate you use to discount future payments is 5 percent. While the consol makes coupon payments forever, the 10- year coupon bond pays back the principal at maturity. the interest rate you use to discount future payments is higher than 5 percent, since that would ensure the 10-year bond would be worth the same as the consol.

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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Use your knowledge of bond pricing to explain under what circumstances you would be willing to pay the same price for a consol that
pays $5 a year forever, and a 5 percent, 10-year coupon bond with a face value of $100 that only makes annual coupon payments for
10 years, at which point principal is returned.
You would be willing to pay the same price for the bonds if:
O the interest rate you use to discount future payments is lower than 5 percent, since that would ensure the 10-year bond would
be worth the same as the consol.
O you expect to only be around for another 10 years.
the interest rate you use to discount future payments is 5 percent. While the consol makes coupon payments forever, the 10-
year coupon bond pays back the principal at maturity.
the interest rate you use to discount future payments is higher than 5 percent, since that would ensure the 10-year bond would
be worth the same as the consol.
Transcribed Image Text:Use your knowledge of bond pricing to explain under what circumstances you would be willing to pay the same price for a consol that pays $5 a year forever, and a 5 percent, 10-year coupon bond with a face value of $100 that only makes annual coupon payments for 10 years, at which point principal is returned. You would be willing to pay the same price for the bonds if: O the interest rate you use to discount future payments is lower than 5 percent, since that would ensure the 10-year bond would be worth the same as the consol. O you expect to only be around for another 10 years. the interest rate you use to discount future payments is 5 percent. While the consol makes coupon payments forever, the 10- year coupon bond pays back the principal at maturity. the interest rate you use to discount future payments is higher than 5 percent, since that would ensure the 10-year bond would be worth the same as the consol.
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