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act Pattern: MS Trucking is considering the purchase of a new piece of equipment that has a net initial investment with a present value of $300,000. The equipment has an estimated useful life of 3 years. For tax purposes, the equipment will be fully depreciated at rates of 30%, 40%, and 30% in Years 1, 2, and 3, respectively. The new machine is expected to have a $20,000 salvage value. The machine is expected to save the company $170,000 per year in operating expenses. MS Trucking has a 40% marginal income tax rate and a 16% cost of capital. Discount rates for a 16% rate are as follows:Present Value of an Ordinary Annuity of $1Present Value of $1Year 1.862.862Year 21.605.743Year 32.246.641The payback period for this investment is

Question

act Pattern: MS Trucking is considering the purchase of a new piece of equipment that has a net initial investment with a present value of 300,000.Theequipmenthasanestimatedusefullifeof3years.Fortaxpurposes,theequipmentwillbefullydepreciatedatratesof30300,000. The equipment has an estimated useful life of 3 years. For tax purposes, the equipment will be fully depreciated at rates of 30%, 40%, and 30% in Years 1, 2, and 3, respectively. The new machine is expected to have a 20,000 salvage value. The machine is expected to save the company 170,000peryearinoperatingexpenses.MSTruckinghasa40170,000 per year in operating expenses. MS Trucking has a 40% marginal income tax rate and a 16% cost of capital. Discount rates for a 16% rate are as follows:Present Value of an Ordinary Annuity of 1Present Value of $1Year 1.862.862Year 21.605.743Year 32.246.641The payback period for this investment is

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Solution

The payback period is a financial metric that is widely used to measure the time it takes for an investment to generate enough cash flows to recover the initial investment cost.

In this case, the initial investment is 300,000andtheannualcashinflowfromtheinvestment(savingsinoperatingexpenses)is300,000 and the annual cash inflow from the investment (savings in operating expenses) is 170,000.

The payback period is calculated as follows:

Payback Period = Initial Investment / Annual Cash Inflows

= 300,000/300,000 / 170,000

= 1.76 years

This means that it will take approximately 1.76 years for MS Trucking to recover its initial investment in the new equipment, assuming the cash inflows are consistent every year.

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