How is the present value of an annuity determined?

Short Answer

Expert verified

P=PMT×111+rnr

Step by step solution

01

Meaning of Annuity

An annuity is the payment of a fixed amountat uniform intervalsto an individual.

02

Determination of the present value of an annuity

Following is the formula which determines the present value of an annuity:

P=PMT×111+rnr

Where,

P = periodic payment

r = rate per period

n = number of period

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Most popular questions from this chapter

Refer to the Hunter Valley Snow Park Lodge expansion project in Short Exercise S26-4 and your calculations in Short Exercises S26-5 and S26-6. Assume the expansion has zero residual value.

Requirements

1. Will the payback change? Explain your answer. Recalculate the payback if it changes. Round to one decimal place.

2. Will the project’s ARR change? Explain your answer. Recalculate ARR if it changes. Round to two decimal places.

3. Assume Hunter Valley screens its potential capital investments using the following decision criteria:

Maximum payback period

5.0 years

Maximum accounting rate of return

18.00%

Hicks Company is considering an investment opportunity with the following expected net cash inflows: Year 1, \(235,000; Year 2, \)195,000; Year 3, \(125,000. The company uses a discount rate of 6%, and the initial investment is \)365,000. Calculate the NPV of the investment. Should the company invest in the project? Why or why not?

Suppose Hunter Valley is deciding whether to purchase new accounting software. The payback for the $30,050 software package is two years, and the software’s expected life is three years. Hunter Valley’s required rate of return for this type of project is 10.0%. Assuming equal yearly cash flows, what are the expected annual net cash savings from the new software?

Describe the capital budgeting process.

Your grandfather would like to share some of his fortune with you. He offers to give you money under one of the following scenarios (you get to choose):

1. \(7,250 per year at the end of each of the next eight years

2. \)49,650 (lump sum) now

3. $98,650 (lump sum) eight years from now

Requirements

1. Calculate the present value of each scenario using an 8% discount rate. Which scenario yields the highest present value? Round to nearest whole dollar.

2. Would your preference change if you used a 10% discount rate?

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