Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 6: Question 10E (page 304)

Consider the following independent situations. (a) Mike Finley wishes to become a millionaire. His money market fund has a balance of \(92,296 and has a guaranteed interest rate of 10%. How many years must Mike leave that balance in the fund in order to get his desired \)1,000,000? (b) Assume that Sally Williams desires to accumulate \(1 million in 15 years using her money market fund balance of \)182,696. At what interest rate must Sally’s investment compound annually?

Short Answer

Expert verified

The period required for Mike is 25 years, and the interest rate required for Sally will be 12%.

Step by step solution

01

Calculation of the number of years

Futurevalueof$1=DesiredamountMoneymarketfundbalance=100,00092,296=10.83471

The future value of $1 is 10.83471 at 10% for25 years, per the table

02

Calculation of the interest rate

Futurevalueof$1=DesiredamountMoneymarketfundbalance=100,000182,696=5.47357

The future value of $1 is 5.47357 for 15 years for an interest rate of12%, per the table

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Alan Jackson invests $20,000 at 8% annual interest, leaving the money invested without withdrawing any of the interest for 8 years. At the end of the 8 years, Alan withdraws the accumulated amount of money. Instructions (a) Compute the amount Alan would withdraw assuming the investment earns simple interest. (b) Compute the amount Alan would withdraw assuming the investment earns interest compounded annually. (c) Compute the amount Alan would withdraw assuming the investment earns interest compounded semiannually

Using the appropriate interest table, provide the solution to each of the following four questions by computing the unknowns.

(a) What is the amount of the payments that Ned Winslow must make at the end of each of 8 years to accumulate a fund of \(90,000 by the end of the eighth year, if the fund earns 8% interest, compounded annually?

(b) Robert Hitchcock is 40 years old today and he wishes to accumulate \)500,000 by his sixty-fifth birthday so he can retire to his summer place on Lake Hopatcong. He wishes to accumulate this amount by making equal deposits on his fortieth through his sixty-fourth birthday. What annual deposit must Robert make if the fund will earn 8% interest compounded annually?

(c) Diane Ross has \(20,000 to invest today at 9% to pay a debt of \)47,347. How many years will it take her to accumulate enough to liquidate the debt?

(d) Cindy Houston has a \(27,600 debt that she wishes to repay 4 years from today; she has \)19,553 that she intends to invest for the 4 years. What rate of interest will she need to earn annually in order to accumulate enough to pay the debt?

Johnson Co. accepts a note receivable from a customer in exchange for some damaged inventory. The note requires the customer make semiannual installments of \(50,000 each for 10 years. The first installment begins six months from the date the customer takes delivery of the damaged inventory. Johnson’s management estimates that the fair value of the damaged inventory is \)679,517.

Accounting

(a) What interest rate is Johnson implicitly charging the customer? Express the rate as an annual rate but assume semiannual compounding.

(b) At what dollar amount do you think Johnson should record the note receivable on the day the customer takes delivery of the damaged inventory?

Analysis

Assume the note receivable for damaged inventory makes up a significant portion of Johnson’s assets. If interest rates increase, what happens to the fair value of the receivable? Briefly explain why.

Principles

The Financial Accounting Standards Board has issued an accounting standard that allows companies to report assets such as notes receivable at fair value. Discuss how fair value versus historical cost potentially involves a trade-off of one desired quality of accounting information against another.

Question:Jose Oliva is considering two investment options for a $1,500 gift he received for graduation. Both investments have 8% annual interest rates. One offers quarterly compounding; the other compounds on a semiannual basis. Which investment should he choose? Why?

Question:Will Smith will receive $80,000 5 years from now, from a trust fund established by his father. Assuming the appropriate interest rate for discounting is 12% (compounded semiannually), what is the present value of this amount today?
See all solutions

Recommended explanations on Business Studies Textbooks

Business Development

Read Explanation

Human Resources

Read Explanation

Business Operations

Read Explanation

Managerial Economics

Read Explanation

Influences On Business

Read Explanation

Organizational Communication

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free