Kauffman has bonds outstanding with a face value of $1,000 and 10 years left until maturity. They have an 11% annual coupon payment, and their current price is $1,175.
1. What is the yield to maturity?
2. What is the yield to call if they are called in 5 years, 6 years, 7 years and 9 years?
3. Which yield might investors expect to earn onb the bonds? Why?
4. The bond's indenture that the call provision gives the firm the right to call the bonds at the end of each year beginning in year 5. In year 5, the bonds may be called at 109% of face value; but in each of the 4 years, the call percentage will decline by 1%. Thus, in year 6, they may be called at 108% of face value; in year 7 they may be called at 107% of face value; and so forth. If the yield curve is horizontal and interest rates remain at their current level, when is the latest that investors might expect the firm to call the bonds?
1- |
YTM |
Using rate function in MS excel |
rate(nper,pmt,pv,fv,type) = nper = 10 pmt = 110 pv= -1175 fv =1000 type = 0 |
RATE(10,110,-1175,1000,0) |
8.35% |
2- |
YTC if called in Year 5 |
Using rate function in MS excel |
rate(nper,pmt,pv,fv,type) = nper = 5 pmt = 110 pv= -1175 fv =1090 type = 0 |
RATE(5,110,-1175,1090,0) |
8.13% |
YTC if called in Year 6 |
Using rate function in MS excel |
rate(nper,pmt,pv,fv,type) = nper = 6 pmt = 110 pv= -1175 fv =1080 type = 0 |
RATE(6,110,-1175,1080,0) |
8.27% |
|
YTC if called in Year 7 |
Using rate function in MS excel |
rate(nper,pmt,pv,fv,type) = nper = 7 pmt = 110 pv= -1175 fv =1070 type = 0 |
RATE(7,110,-1175,1070,0) |
8.37% |
|
YTC if called in Year 8 |
Using rate function in MS excel |
rate(nper,pmt,pv,fv,type) = nper = 8 pmt = 110 pv= -1175 fv =1060 type = 0 |
RATE(8,110,-1175,1060,0) |
8.46% |
|
YTC if called in Year 9 |
Using rate function in MS excel |
rate(nper,pmt,pv,fv,type) = nper = 9 pmt = 110 pv= -1175 fv =1050 type = 0 |
RATE(9,110,-1175,1050,0) |
8.53% |
|
3- |
Investor prefer to take YTC at call option at year 9 as it results in highest rate of return (YTC = 8.53%) |
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4- |
Firm will call the bonds in the year 6th because at this point firm because This is the last year that the expected YTC will be less than the expected YTM. At this time, the firm still finds an advantage to calling the bonds, rather than seeing them to maturity |
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