Question

In: Economics

A new machine will last for ten years. It will save the company $9984 per year...

A new machine will last for ten years. It will save the company $9984 per year and the savings will increase by $2660 each year. What is the present worth of this machine assuming an interest rate of 7.4%/year compounded annually.

Solutions

Expert Solution

year Cash flow Present Value factor Present Value
1 $          9,984.00 0.931098696 $        9,296.09
2 $        12,644.00 0.866944783 $      10,961.65
3 $        15,304.00 0.807211157 $      12,353.56
4 $        17,964.00 0.751593256 $      13,501.62
5 $        20,624.00 0.699807501 $      14,432.83
6 $        23,284.00 0.651589852 $      15,171.62
7 $        25,944.00 0.606694462 $      15,740.08
8 $        28,604.00 0.564892422 $      16,158.18
9 $        31,264.00 0.525970598 $      16,443.94
10 $        33,924.00 0.489730538 $      16,613.62
Present Worth= $    140,673.20

Present worth is sum of the present value of all cash flows defined at a given year.

Present Value factor = 1/(1+interest rate)^t. where t = years

Below are the calculations in excel -


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