Calculate NPV, present value ratio, and payback. TopCap Co. is evaluating the purchase of another sewing machine

Question:

Calculate NPV, present value ratio, and payback. TopCap Co. is evaluating the purchase of another sewing machine that will be used to manufacture sport caps. The invoice price of the machine is $88,000. In addition, delivery and installation costs will total $6,000. The machine has the capacity to produce 10,000 dozen caps per year. Sales are forecast to increase gradually, and production volumes for each of the five years of the machine’s life are expected to be:

2013 . . . . . . . . . . . . . . . . . . . . . . . 3,000 dozen

2014 . . . . . . . . . . . . . . . . . . . . . . . 4,700 dozen

2015 . . . . . . . . . . . . . . . . . . . . . . . 7,100 dozen

2016 . . . . . . . . . . . . . . . . . . . . . . . 9,400 dozen

2017 . . . . . . . . . . . . . . . . . . . . . . . 10,000 dozen

The caps have a contribution margin of $4.20 per dozen. Fixed costs associated with the additional production (other than depreciation expense) will be negligible. Salvage value and the investment in working capital should be ignored. TopCap Co.’s cost of capital for this capacity expansion has been set at 8%.


Required:

a. Calculate the net present value of the proposed investment in the new sewing machine.

b. Calculate the present value ratio of the investment.

c. What is the internal rate of return of this investment relative to the cost of capital?

d. Calculate the payback period of the investment.

Contribution Margin
Contribution margin is an important element of cost volume profit analysis that managers carry out to assess the maximum number of units that are required to be at the breakeven point. Contribution margin is the profit before fixed cost and taxes...
Net Present Value
What is NPV? The net present value is an important tool for capital budgeting decision to assess that an investment in a project is worthwhile or not? The net present value of a project is calculated before taking up the investment decision at...
Internal Rate of Return
Internal Rate of Return of IRR is a capital budgeting tool that is used to assess the viability of an investment opportunity. IRR is the true rate of return that a project is capable of generating. It is a metric that tells you about the investment...
Salvage Value
Salvage value is the estimated book value of an asset after depreciation is complete, based on what a company expects to receive in exchange for the asset at the end of its useful life. As such, an asset’s estimated salvage value is an important...
Cost Of Capital
Cost of capital refers to the opportunity cost of making a specific investment . Cost of capital (COC) is the rate of return that a firm must earn on its project investments to maintain its market value and attract funds. COC is the required rate of...
Payback Period
Payback period method is a traditional method/ approach of capital budgeting. It is the simple and widely used quantitative method of Investment evaluation. Payback period is typically used to evaluate projects or investments before undergoing them,...
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Accounting What the Numbers Mean

ISBN: 978-0078025297

10th edition

Authors: David H. Marshall, Wayne W. McManus, Daniel F. Viele

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