Chapter 11.II, Problem 8RE

### Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

Chapter
Section

### Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447
Textbook Problem

# For the following investments, calculate the present value (principal) and the compound interest. Use Table 11-2. Round your answer to the nearest cent. Compound Amount $100,000 Term of Investment 10 years Nominal Rate(%) 4 Interest Compounded annually Present Value _ _ _ _ _ Compound Interest _ _ _ _ _ To determine To calculate: The present value (principal) and the compound interest for an investment with compound amount$100,000 made for 10 years at 4% interest compounded annually using the table 11-2. Also, round your answer to the nearest cent.

Explanation

Given information:

An investment with compound amount $100,000 made for 10 years at 4% interest compounded annually. Formula used: Compounding period can be calculated by formula given below: Compounding periods=Term of investments(years)×m Here, m is the period per year. The interest rate per period can be calculated by dividing the annual, or nominal, rate by the number of periods per year, Interest rate per period=Nominal ratePeriod per year The present value (principal) can be calculated by the formula given below: Principal=Table factor×Compound amount In Present value table 11-2, the table factor is the intersection of the rate-per-period column and the number-of-periods row is the present value of$1 at compound interest.

The compound interest can be calculated by the formula given below:

Compound interest=Compound amountPrincipal

Calculation:

Consider the compound amount \$100,000 is made for 10 years at 4% interest compounded annually and solve as shown below:

Since, the variables-compound amount, time period (years), nominal rate and interest compounded are given; therefore, the compounding period can be calculated as below:

Compounding periods(n)=Term of investments(years)<

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Explain in your own words the meaning of limxf(x)=L and limxf(x)=M.

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### 13. If , is a function of ?

Mathematical Applications for the Management, Life, and Social Sciences

#### True or False: converges if and only if .

Study Guide for Stewart's Multivariable Calculus, 8th