Chapter 13.6, Problem 33E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

** Present value** Suppose that a machine’s production can be considered as a continuous income stream with annual rate of flow at time

(dollars per year)

If money is worth

To determine

**To calculate:** The present value of the machine over the next

Explanation

**Given Information:**

A continuous income stream with annual rate of flow at time

**Formula used:**

The present value for a continuous income stream

The formula for integration by parts is given by:

**Calculation:**

As it is provided a continuous income stream with annual rate of flow at time

And money is worth

Now, the present value for a continuous income stream

And money is worth

Now, use the method of integration by parts by splitting the integrands into two components, thus,

And

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