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How does compound interest differ from simple interest?

Short Answer

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Answer

Simple interest is calculated on principle only whereas compound interest is calculated on both the principal and the previously accrued interest.

Step by step solution

01

Meaning of Simple Interest

The cost of borrowing is known as simple interest. Borrowers will benefit from specific interest since they will only be charged interest on the advances they have taken out. In other words, simple interest is the sum paid to a borrower for using borrowed reserves over a set period.

02

The difference between compound interest and simple interest.

The term "simple interest" alludes to interest computed fair on the principal. Compound interest, on the other hand, is computed on both the principal and all previously earned interest.

Compound interest is based on the presumption that the interest earned will be reinvested and helps to create additional interest at the same rate.

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Most popular questions from this chapter

You are planning for early retirement. You would like to retire at age 40 and have enough money saved to be able to withdraw \(220,000 per year for the next 30 years (based on family history, you think you will live to age 70). You plan to save by making 20 equal annual instalments (from age 20 to age 40) into a fairly risky investment fund that you expect will earn 8% per year. You will leave the money in this fund until it is completely depleted when you are 70 years old.

Requirements

1. How much money must you accumulate by retirement to make your plan work? (Hint: Find the present value of the \)220,000 withdrawals.)

2. How does this amount compare to the total amount you will withdraw from the investment during retirement? How can these numbers be so different?

Lockwood Company is considering a capital investment in machinery:

Initial investment $ 600,000

Residual value 50,000

Expected annual net cash inflows 100,000

Expected useful life 8 years

Required rate of return 12%

8. Calculate the payback.

9. Calculate the ARR. Round the percentage to two decimal places.

10. Based on your answers to the above questions, should Lockwood invest in the machinery?

Using NPV to make capital investment decisions Holmes Industries is deciding whether to automate one phase of its production process. The manufacturing equipment has a six-year life and will cost \(910,000.

Year 1 \) 262,000

Year 2 254,000

Year 3 222,000

Year 4 215,000

Year 5 200,000

Year 6 175,000

Requirements

  1. Compute this project’s NPV using Holmes’s 14% hurdle rate. Should Holmes invest in the equipment?

Holmes could refurbish the equipment at the end of six years for \(104,000. The refurbished equipment could be used one more year, providing \)77,000 of net cash inflows in year 7. Additionally, the refurbished equipment would have a $55,000 residual value at the end of year 7. Should Holmes invest in the equipment and refurbish it after six years? (Hint: In addition to your answer to Requirement 1, discount the additional cash outflow and inflows back to the present value.)

Outlining the capital budgeting process Review the following activities of the capital budgeting process: a. Budget capital investments. b. Project investments’ cash flows. c. Perform post-audits. d. Make investments. e. Use feedback to reassess investments already made. f. Identify potential capital investments. g. Screen/analyze investments using one or more of the methods discussed. Place the activities in sequential order as they occur in the capital budgeting process.

John Johnson is the majority stockholder in Johnson’s Landscape Company, owning 52% of the company’s stock. John asked his accountant to prepare a capital investment analysis to purchase new mowers. John used the analysis to persuade a loan officer at the local bank to loan the company $100,000. Once the loan was secured, John used the cash to remodel his home, updating the kitchen and bathrooms, installing new flooring, and adding a pool.

Requirements

1. Are John’s actions fraudulent? Why or why not? Does John’s percentage of ownership affect your answer?

2. What steps could the bank take to prevent this type of activity?

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