Register
You lend a friend ​$​, which your friend will repay in equal annual​ end-of-year payments of ​$​, with the first payment to be received 1 year from now. What rate of return does your loan​ receive?
426,370 views
8 votes
8 votes
You lend a friend ​$​, which your friend will repay in equal annual​ end-of-year payments of ​$​, with the first payment to be received 1 year from now. What rate of return does your loan​ receive?

User Abdur Rafay Saleem
by
2.4k points

1 Answer

15 votes
15 votes

Answer: 18%

Step-by-step explanation:

The payments that your friend will make are an annuity as they are constant. This means that the loan amount of $15,000 is the present value of the annuity.

To find the rate of return, use the factor tables.

Present value of annuity = Annuity * Present value interest factor of annuity, 14 years, ?%

15,000 = 3,000 * Present value interest factor of annuity, 14 years, ?%

Present value interest factor of annuity, 14 years, ?% = 15,000 / 3,000

Present value interest factor of annuity, 14 years, ?% = 5.0

Go to the present value of annuity factor table and find out what interest rate intersects with 14 periods such that the factor is 5.0.

That rate is 18%.

Rate of return is therefore 18%.

You lend a friend ​$​, which your friend will repay in equal annual​ end-of-year payments-example-1
User Oliora
by
2.3k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers

Other Questions

If the rate of inflation in Japan dramatically increases while the rate of inflation in the United States remains constant, then a. the demand curve for dollars shifts to the left. b. the demand curve
If you buy a one-year bond for $4,000 and the issuer pays you back $5,000 at the end of one year, the interest rate on the bond is
The market value of the equity of Hudgins, Inc., is $582,000. The balance sheet shows $21,000 in cash and $192,000 in debt, while the income statement has EBIT of $93,000 and a total of $137,000 in depreciation
Kylie is risk averse and has $1,000 with which to make a financial investment. She has three options. Option A is a risk-free government bond that pays 5 percent interest each year for two years. Option
Elroy Rocket is entering his senior year as an accounting major and has a number of options for his summer break. His options for the 3 month break follow: (1) Work full time at a local accounting firm
Link Copied!