Legacy issues $660,000 of 5.5%, four-year bonds dated January 1, 2018, that pay interest semiannually on June 30 and December 31. They are issued at $648,412, and their market rate is 6% at the issue date. Required:
Determine the total bond interest expense to be recognized over the bonds' life.

Legacy

The total bond interest expense to be recognized over the bond's life is:

= $189,172.82

Explanation:

a) Data and Calculations:

Face value of 5.5% bonds issued = $660,000

Proceeds from the bonds issue =       648,412

Bonds discounts =                                $11,588

Interest payment = semiannually at 2.75% (5.5%/2)

Market interest rate = 6%

Effective semiannual interest rate = 3% (6%/2)

N (# of periods)  8

I/Y (Interest per year)  3

PV (Present Value)  648412

PMT (Periodic Payment)  18150

Results

FV = $982,784.82

Sum of all periodic payments = $145,200.00

Total Interest= $189,172.82

24 years, i believe is the correct answer.