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Treasury bonds paying an 10.00% coupon rate with semiannual payments currently sell at par value. What coupon rate would they have to pay in order to sell at par if they paid their coupons annually?

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Answer:

10.25%

Step-by-step explanation:

The requirement which is Coupon rate can be calculated using EAR formula.

EAR = (1 + APR/n)^n - 1

EAR = (1 + 10.00%/2)^2 - 1

EAR = (1 + 0.1/2)^2 - 1

EAR = (1 + 0.05)^2 - 1

EAR = (1.05)^2 - 1

EAR = 1.1025 - 1

EAR = 0.1025

EAR = 10.25%

10.25% is the coupon rate for annually paying bond.

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