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 |