Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Question:The following are a number of values taken from compound interest tables involving the same number of periods and the same rate of interest. Indicate what each of these four values represents. (a) 6.71008. (c) .46319. (b) 2.15892. (d) 14.48656.

Short Answer

Expert verified

6.71008 shows the present value, 0.46319 shows the future value, 2.15892 shows the present value, and 14.48656 shows the future value of the ordinary annuity.

Step by step solution

01

Step-by-Step solution Step 1 Definition of the ordinary annuity

Ordinary annuityrefers to a series of frequent or regular payments made at the end of each period.Periods can be monthly, quarterly, half-yearly, and yearly.

02

Values representation

The four values mentioned in the question indicates the following:

6.71008 shows the present value of an ordinary annuity at an 8% interest rate for 10 periods (Table 6-4)

0.46319 represents thefuture valueof 1 at 8% for 10 periods.

2.15892 indicates the present value of 1 at 8% for 10 periods

14.48656 represents the future value of the ordinary annuity at 8% for 10 periods

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.

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

Assuming the same facts as those in E6-18 except that the payments must begin now and be made on the first day of each of the 15 years, what payment method would you recommend?

Answer each of these unrelated questions.

(a) On January 1, 2017, Fishbone Corporation sold a building that cost \(250,000 and that had accumulated depreciation of \)100,000 on the date of sale. Fishbone received as consideration a \(240,000 non-interest-bearing note due on January 1, 2020. There was no established exchange price for the building, and the note had no ready market. The prevailing rate of interest for a note of this type on January 1, 2017, was 9%. At what amount should the gain from the sale of the building be reported?

(b) On January 1, 2017, Fishbone Corporation purchased 300 of the \)1,000 face value, 9%, 10-year bonds of Walters Inc. The bonds mature on January 1, 2027, and pay interest annually beginning January 1, 2018. Fishbone purchased the bonds to yield 11%. How much did Fishbone pay for the bonds?

(c) Fishbone Corporation bought a new machine and agreed to pay for it in equal annual installments of \(4,000 at the end of each of the next 10 years. Assuming that a prevailing interest rate of 8% applies to this contract, how much should Fishbone record as the cost of the machine?

(d) Fishbone Corporation purchased a special tractor on December 31, 2017. The purchase agreement stipulated that Fishbone should pay \)20,000 at the time of purchase and \(5,000 at the end of each of the next 8 years. The tractor should be recorded on December 31, 2017, at what amount, assuming an appropriate interest rate of 12%?

(e) Fishbone Corporation wants to withdraw \)120,000 (including principal) from an investment fund at the end of each year for 9 years. What should be the required initial investment at the beginning of the first year if the fund earns 11%?

Craig Brokaw, newly appointed controller of STL, is considering ways to reduce his companyโ€™s expenditures on annual pension costs. One way to do this is to switch STLโ€™s pension fund assets from First Security to NET Life. STL is a very well-respected computer manufacturer that recently has experienced a sharp decline in its financial performance for the first time in its 25-year history. Despite financial problems, STL still is committed to providing its employees with good pension and postretirement health benefits.

Under its present plan with First Security, STL is obligated to pay \(43 million to meet the expected value of future pension benefits that are payable to employees as an annuity upon their retirement from the company. On the other hand, NET Life requires STL to pay only \)35 million for identical future pension benefits. First Security is one of the oldest and most reputable insurance companies in North America. NET Life has a much weaker reputation in the insurance industry. In pondering the significant difference in annual pension costs, Brokaw asks himself, โ€œIs this too good to be true?โ€

Instructions

Answer the following questions.

(a) Why might NET Lifeโ€™s pension cost requirement be $8 million less than First Securityโ€™s requirement for the same future value?

(b) What ethical issues should Craig Brokaw consider before switching STLโ€™s pension fund assets?

(c) Who are the stakeholders that could be affected by Brokawโ€™s decision?

(Analysis of Alternatives) Julia Baker died, leaving to her husband Brent an insurance policy contract that provides that the beneficiary (Brent) can choose any one of the following four options. (a) \(55,000 immediate cash. (b) \)4,000 every 3 months payable at the end of each quarter for 5 years. (c) \(18,000 immediate cash and \)1,800 every 3 months for 10 years, payable at the beginning of each 3-month period. (d) \(4,000 every 3 months for 3 years and \)1,500 each quarter for the following 25 quarters, all payments payable at the end of each quarter.

Instructions If money is worth 2ยฝ% per quarter, compounded quarterly, which option would you recommend that Brent exercise?

Question:In a book named Treasure, the reader has to figure out where a 2.2 pound, 24 kt gold horse has been buried. If the horse is found, a prize of \(25,000 a year for 20 years is provided. The actual cost to the publisher to purchase an annuity to pay for the prize is \)245,000. What interest rate (to the nearest percent) was used to determine the amount of the annuity? (Assume end-of-year payments.)

See all solutions

Recommended explanations on Business Studies Textbooks

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