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Question: What is an annuity? How does it differ from a lump sum payment?

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Answer

An annuity is an equal monetary payment, while a lump sum payment is a one-time payment.

Step by step solution

01

Meaning of an Annuity

An annuity can be a contract between an individual and a life insurance company intended to provide a consistent income for the remainder of life after retirement.

02

Difference between an annuity and a lump sum payment

An annuity payment frequently comprises numerous installments over time, such as one month to month, quarterly or yearly plans. A lump-sum payment permits one to get all of the funds at once.

On the other hand, an annuity permits one to frequently collect a portion of the cash over a pre-specified time outline, while in a lump sum, a situation may arise when you run out of money.

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Most popular questions from this chapter

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?

Henderson Manufacturing, Inc. has a manufacturing machine that needs attention. The company is considering two options. Option 1 is to refurbish the current machineat a cost of \(1,200,000. If refurbished, Henderson expects the machine to last anothereight years and then have no residual value. Option 2 is to replace the machine at acost of \)4,600,000. A new machine would last 10 years and have no residual value.Henderson expects the following net cash inflows from the two options:

YearRefurbish CurrentPurchase New

MachineMachine

1 \( 350,000 \) 3,780,000

2 340,000 510,000

3 270,000 440,000

4 200,000 370,000

5 130,000 300,000

6 130,000 300,000

7 130,000 300,000

8 130,000 300,000

9 300,000

10 300,000

Total \( 1,680,000 \) 6,900,000

Henderson uses straight-line depreciation and requires an annual return of 10%.

Requirements

1. Compute the payback, the ARR, the NPV, and the profitability index of these twooptions.

2. Which option should Henderson choose? Why?

Congratulations! You have won a state lottery. The state lottery offers you the following (after-tax) payout options:

Option #1: \(12,000,000 after five years

Option #2: \)2,150,000 per year for five years

Option #3: $10,000,000 after three years

Assuming you can earn 6% on your funds, which option would you prefer?

Explain the difference between the present value factor tables—Present Value of \(1 and Present Value of Ordinary Annuity of \)1.

Why are net present value and internal rate of return considered discounted cash flow methods?

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