In: Finance
Consider two bonds. Each has a face value of $1000 and matures in 5 years. One has no coupon payment, and the other pays $100 per year. Calculate the present value of each bond if the interest rate is 4 percent and if the interest rate is 8 percent. (Show Work)
Computation Of Bond Value if interest rate is 4% | ||
a | Annual Coupon Amount | $ 100.00 |
b | Present Value Annuity Factor for (5 Years,4%) | 4.451822 |
c | Present Value Of Annual Interest (a*b) | $ 445.18 |
d | Redemption Value | $ 1,000.00 |
e | Present Value Of (5 Years,4%) | 0.82193 |
g | Present Value Of Redemption Amount (d*e) | $ 821.93 |
f | Present value (c+g) | $ 1,267.11 |
Computation Of Bond Value if interest rate is 8% | ||
a | Annual Coupon Amount | $ 100.00 |
b | Present Value Annuity Factor for (5 Years,8%) | 3.992710 |
c | Present Value Of Annual Interest (a*b) | $ 399.27 |
d | Redemption Value | $ 1,000.00 |
e | Present Value Of (5 Years,8%) | 0.68058 |
g | Present Value Of Redemption Amount (d*e) | $ 680.58 |
f | Present value (c+g) | $ 1,079.85 |