Math Problem Statement

An initial investment amount​ P, an annual interest rate​ r, and a time t are given. Find the future value of the investment when interest is compounded​ (a) annually,​ (b) monthly,​ (c) daily, and​ (d) continuously. Then find​ (e) the doubling time T for the given interest rate. Pequals​$1500​, requals3.15​%, tequals5 yr Question content area bottom Part 1 ​a) The future value of the investment when interest is compounded annually is ​$

enter your response here. ​(Type an integer or a decimal. Round to the nearest cent as​ needed.)

Solution

To calculate the future value of an investment with interest compounded at different frequencies, we use the compound interest formulas for each case.

Given:

  • Initial investment amount P=$1500P = \$1500
  • Annual interest rate r=3.15%=0.0315r = 3.15\% = 0.0315
  • Time t=5t = 5 years

Part 1: Compounded Annually

The formula for compound interest

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Compound Interest
Exponential Growth

Formulas

Compound Interest Formula
Continuous Compounding Formula

Theorems

-

Suitable Grade Level

Advanced High School / College