Question 1
Let us assume the face value of both the bonds is $1000
Current Prices of Bonds
Particulars | Excel Sign | Bond A | Bond K |
Coupon | pmt | 27.5 | 35 |
Period | Nper | 20 | 10 |
YTM | Rate | 2.25% | 4.50% |
Face Value | FV | 1000 | 1000 |
Current Price | PV | 1080 | 921 |
Excel Formula =PV(rate,nper,pmt,FV)
Bond A =PV(2.25%,20,27.5,1000) = $1080
Bond K =PV(4.5%,10,35,1000) = $921
Bond A is a semi-annual payment bond therefore, its semiannual coupon payment would be (5.5%*1000/2) = $27.5
It's coupon payment would be double, i.e. in 10 years it would make 20 coupon payment
Being a semiannual bond its YTM for the calculation would become half (4.5%/2=2.25%)
Bond K is annual coupon payment bond, its annual coupon payment would be (3.5%*1000) = $35
Its coupon payment would be for 10 years, therefore, the period would be 10
Being an annual bond its YTM for calculation would be 4.5%
Prices of Bond in One Year
Particulars | Excel Sign | Bond A | Bond K |
Coupon | pmt | 27.5 | 35 |
Period | Nper | 18 | 9 |
YTM | Rate | 2.25% | 4.50% |
Face Value | FV | 1000 | 1000 |
Price in One Year | PV | 1073 | 927 |
Excel Formula =PV(rate,nper,pmt,FV)
After 1 year the only thing that will change will be Nper or the period as for Bond A would have made two coupon payment their coupon payment remaining would be 18 and for bond K the remaining coupon payment would be 9
Expected Capital Gain Yield in One Year
Particulars | Bond A | Bond K |
Current Price | 1079.82 | 920.87 |
Price in One Year | 1073.34 | 927.31 |
Capital Gain | -6.48 | 6.44 |
Face Value | 1000 | 1000 |
Capital Gain Yield | -0.65% | 0.64% |
Capital Gain Yield = Capital Gain/Face Value
Current Yield on Each Bond
The Current Yield of each bond will be equal to the YTM which is 4.5%
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