Question

A company issued a 20-year, $1,000 par value bond that pays semiannual interest of $40. If the semiannual market rate of interest is 5%, at what amount did the bond sell? (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) (Do not round intermediate calculations. Round your final answer to nearest whole dollar amount.)
Multiple choices: $828, $1,686, $1,000, $893

Answer 1

Answer: $828

Explanation:

Given the following :

Semi-annual payment = $40

Period = 20 years

Number of payments = (20 * 2)(semiannual) = 40 payments

Par value = $1000

Interest rate = 5%

Using the PV table:

PV at $1 (40, 5%) = 0.1420

PVA at $1 (40, 5%) = 17.159

[Par value * PV at $1 (40, 5%)] + [$40 * PVA at $1 (40, 5%)]

= ($1000 * 0.1420) + ($40 * 17.159)

= $142 + $686.36

=$828.36

= $826