Question

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?

Answer 1

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.