Problem 7-12 Yield to call It is now January 1, 2014, and you are considering th
ID: 2647096 • Letter: P
Question
Problem 7-12
Yield to call
It is now January 1, 2014, and you are considering the purchase of an outstanding bond that was issued on January 1, 2012. It has a 9.5% annual coupon and had a 30-year original maturity. (It matures on December 31, 2041.) There is 5 years of call protection (until December 31, 2016), after which time it can be called at 109-that is, at 109% of par, or $1,090. Interest rates have declined since it was issued; and it is now selling at 120.075% of par, or $1,200.75.
What is the yield to maturity? Round your answer to two decimal places.
%
What is the yield to call? Round your answer to two decimal places.
%
Explanation / Answer
What is the yield to maturity? Round your answer to two decimal places.
YTM = rate(nper,pmt,pv,fv)
Nper (indicates the period) = 30-2 = 28
PV (indicates the price) = 1200.75
PMT (indicate the annual payment) = 1000*9.5% = 95
FV (indicates the face value) = 1000
Rate (indicates YTM) = ?
YTM = rate( 28,95,-1200.75,1000)
YTM = 7.73%
What is the yield to call? Round your answer to two decimal places.
Yield to call= rate(nper,pmt,pv,fv)
Nper (indicates the period) = 5-2 = 3
PV (indicates the price) = 1200.75
PMT (indicate the annual payment) = 1000*9.5% = 95
FV (indicates the call value) = 1000*109% = 1090
Rate (indicates YTM) = ?
Yield to call= rate( 3,95,-1200.75,1090)
Yield to call= 4.99%