In: Finance
What is your Willing to Pay (WTP) for a Bond with a 3% Coupon and Maturity in ten (10) years at $1,000 if you want a return of 4%? Draw a Timeline for yourself.
Group of answer choices
$919.
$676.
$243.
$1,063.
| Frequency in a year | 1 | |||||
| YTM | 4.00% | |||||
| Coupon rate | 3.00% | |||||
| Face value | $ 1,000 | |||||
| Coupon payment | $ 30.00 | =1000*3%/1 | ||||
| Years to maturity | 10 | |||||
| No. of periods | 10 | |||||
| 4.00% | ||||||
| Year | Cash Flow | PV factor = 1/ (1+r)^t | PV | |||
| 0 | $ - | 1.000 | $ - | |||
| 1 | $ 30.00 | 0.962 | $ 29 | |||
| 2 | $ 30.00 | 0.925 | $ 28 | |||
| 3 | $ 30.00 | 0.889 | $ 27 | |||
| 4 | $ 30.00 | 0.855 | $ 26 | |||
| 5 | $ 30.00 | 0.822 | $ 25 | |||
| 6 | $ 30.00 | 0.790 | $ 24 | |||
| 7 | $ 30.00 | 0.760 | $ 23 | |||
| 8 | $ 30.00 | 0.731 | $ 22 | |||
| 9 | $ 30.00 | 0.703 | $ 21 | |||
| 10 | $ 30.00 | 0.676 | $ 20 | |||
| 10 | $ 1,000.00 | 0.676 | $ 676 | |||
| Total present value | $ 919 | |||||
| So the total present value of future cashflow will be the price of bond i.e. $ 919 |