Ataxia Fitness Center is considering an investment in some additional weight training equipment. The equipment has an estimated useful life of 4 years with no salvage value at the end of the 4 years. Ataxia internal rate of return on this equipment is 6%. Ataxia discount rate is also 6%. The payback period on this equipment is closest to (Ignore income taxes.):

3.47 years

Explanation:

Payback Period on an investment can be calculated as:

= Cost of investment / Net annual cash inflow

The internal rate of return is the rate that equates the Cost of investment to the annual net cash inflow. This means that if you were to solve for the IRR factor, the formula would be:

= Cost of investment /Net annual cash inflow

Notice how the formulas are the same.

The factor for IRR is therefore the Payback period.

Using your Present value of an Annuity Factor table therefore, find the Factor for the IRR rate of 6% and 4 years.

= 3.4651

= 3.47 years

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