Question

Last year Janet purchased a $1,000 face value corporate bond with an 11% annual coupon rate and a 15-year maturity. At the time of the purchase, it had an expected yield to maturity of 12.21%. If Janet sold the bond today for $993.14, what rate of return would she have earned for the past year? Do not round intermediate calculations. Round your answer to two decimal places.

Answer 1

20.10%

Step-by-step explanation:

The first task is to compute the bond's purchase price last year which is found using the bond price formula below:

bond price=face value/(1+r)^n+ annual coupon*(1-(1+r)^-n/r

face value=$1000

r=yield to maturity=12.21%

n=number of annual coupons in 15 years=15

annual coupon=face value*coupon rate=$1000*11%=$110

bond price=1000/(1+12.21%)^15+110*(1-(1+12.21%)^-15/12.21%

bond price=1000/(1+12.21%)^15+110*(1-0.177634192 )/12.21%

bond price=$918.50

Rate of return=(price today-initial price+coupon received)/initial price

price today= $993.14

initial price=$918.50

coupon received(for 1 year)=$110

Rate of return=($993.14-$918.50+$110)/$918.50=20.10%