On April 1, 2018, Ellucian Corporation invested in the bonds issued by the City of Westminster on January 1, 2018. These 10minusyear, $ 400 comma 000 bonds pay interest of 2% with semiannual payments every June 30 and December 31. Ellucian paid par value plus accrued interest. What is the total amount paid by Ellucian for the City of Westminster bonds?

$402,000

Explanation:

The computation of the total amount paid is shown below:

Total amount paid = Face value + accrued interest

where,

Face value of the bond is $400,000

And, the accrued interest is

= $400,000 × 2% × 3 months ÷ 12 months

= $2,000

The 3 months is calculated from April 1 to June 30

So, the total amount paid i s

= $400,000 + $2,000

= $402,000

We added the face value and the accrued interest to determine the total amount paid

the investment was $14,174.196

explanation:

a lump sum means that the father of the example made one deposit and leave it be.

we need to know the value of a capital that generated at 4.05% per year during 28 years the sum of $48,613.24

now clearing the formula to solve for capital we got:

and we reach the answer investment = $14,174.20