   Chapter 6, Problem 18TYS ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# A business is expected to yield a continuous flow of profit at the rate of $600,000 per year. Assuming an annual interest rate of 5% compounded continuously, what is the present value of the business (a) for 20 years and (b) forever? (a) To determine To calculate: The present value of the business if the continuous flow of profit at rate of$600,000 per year and interest rate is 5% compounded continuously for 20 years.

Explanation

Given Information:

Provided information is:

The profit at rate of $600,000 per year and interest rate is 5% compounded continuously for 20 years in continuous flow. Formula used: Present value of Perpetuity: Present value=P0tertdt Here, P is the size of each annual payment, t is the time and r is the annual interest rate in decimal form. Calculation: Recall the formula for present value. Present value=P0tertdt Interest in fraction form is: r=5%=5100=0.05 Substitute$600,000 for P and 0

(b)

To determine

To calculate: The present value of the business if the continuous flow of profit at rate of \$600,000 per year and interest rate is 5% compounded continuously for forever.

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