Question

A 10-year, 10.00%, $5,000 bond that pays dividends quarterly can be purchased for $4,610.

This means that $4,610 is spent on the bond now. Every quarter, $125.00 is provided to the purchaser as the dividend. After 10 years, $5,000 is given to the purchaser.
If the bond is purchased and pays as scheduled, which of the following ranges of effective rate of return will the purchaser receive?
a. 11.00% - 12.00%
b. 10.00% - 10.50%
c. 12.01% - 14.01%
d. 10.50% - 10.75%

Answer 1

Answer: a. 11.00% - 12.00%

Step-by-step explanation:

We can find the rate using Excel.

Payments are quarterly so we need to adjust the variables to quarterly figures:

Period = 10 years * 4 = 40 quarters

Present value = $4,610 (should be a negative number)

Future value = $5,000 at maturity

The effective rate will be 2.9% as shown in the attachment.

This is a quarterly figure so convert it to annual:

= 2.9 * 4

= 11.6%

It is between 11% and 12%