Question

In: Finance

Consider two bonds. Each has a face value of $1000 and matures in 5 years. One...

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)

Solutions

Expert Solution

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

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