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Compute the present value of a $46 payment when the discount rate is 11.2 percent with annual compounding and the payment is in 8 years?

User Mohangraj
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1 Answer

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Final answer:

The present value of a $46 payment in 8 years, with an annual discount rate of 11.2%, is approximately $21.63.

Step-by-step explanation:

To compute the present value of a $46 payment that is to be received in 8 years with an annual discount rate of 11.2%, we can apply the present value formula:

Present Value = Future Payment / (1 + discount rate)number of years

Using the information provided, the present value can be calculated as follows:

Present Value = $46 / (1 + 0.112)8

Present Value = $46 / (1.112)8

Present Value = $46 / 2.1261

Present Value = $21.63 (rounded to two decimal places)

Therefore, the present value of the $46 payment, discounted at an 11.2% annual rate over 8 years, is approximately $21.63.