Problem

What is the present value of a cash flow of $\$ 1500$ if the rate of annual interest is $8.5 \%$ ? Round to the nearest cent.

The present value is $\$$
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Final Answer: The present value of the cash flow is approximately \(\boxed{1382.49}\).

Steps

Step 1 :Given a future value (FV) of $1500, an annual interest rate (r) of 8.5%, and a time period (n) of 1 year, we want to find the present value (PV).

Step 2 :The formula for present value is \(PV = \frac{FV}{(1 + r)^n}\).

Step 3 :Substitute the given values into the formula: \(PV = \frac{1500}{(1 + 0.085)^1}\).

Step 4 :Calculate the present value to get \(PV = 1382.4884792626729\).

Step 5 :Round the present value to the nearest cent to get approximately $1382.49.

Step 6 :Final Answer: The present value of the cash flow is approximately \(\boxed{1382.49}\).

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