Question

An insurance company accepts an obligation to pay 10,000 at the end of each year for 2 years. The insurance company purchases a combination of the following two bonds at a total cost of X in order to exactly match its obligation: 1-year 4% annual coupon bond with a yield rate of 5% 2-year 6% annual coupon bond with a yield rate of 5% Calculate X.

Answer 1

$18,594.10

Step-by-step explanation:

Insurance company has to pay $10,000 for two year with rate of 5% since market rate remain same in both the bond.

X = PV (PMT, N, I/Y)

X = PV(10000, 2, 5)

X = 18594.1043

X = $18,594.10