Question

In: Finance

What is your Willing to Pay (WTP) for a Bond with a 3% Coupon and Maturity...

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.

Solutions

Expert Solution

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

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