Company X has 8% coupon bonds on the market with 20 years to maturity. If the bonds make semiannual payments and they are sold for 97.5% of par, what is the YTM? What is the current yield? What is the effective annual yield?
Solution:-
Assume Face Value of Bond is $1,000
Nper = 20 years * 2 = 40
PMT =
PMT = $40
PV = $1,000 * 0.975
PV = $975
To Calculate YTM-
Annual YTM = 4.13% * 2
Annual YTM = 8.26%
To Calculate Current Yield -
Current Yield =
Current Yield =
Current Yield = 4.10%
To Calculate Effective Annual Yield-
Effective Annual Yield =
Effective Annual Yield =
Effective Annual Yield = 8.43%
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