4 12 Continuous Compounding 1 365

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Complete the table by determining the balance A for P dollars invested at rate r for t years and compounded n times per year P = $2500 r = 6%                 t = 20 years

4 12
Continuous Compounding
1
365
Transcribed Image Text:4 12 Continuous Compounding 1 365
Expert Solution
Step 1

Given: P=$2500, r=6%, t=20 years

The formula for Compound Interest is:

A=P1+rn100tn, where A is the amount, P is the principal, r is the rate of interest, n is the number of times compounding is done in a year and t is the time period.

For n=1:

A=P1+rn100tn=25001+610020=25001.0620=8,017.83

Thus, when n=1 the value of the amount is $8,017.83

Step 2

For n=2:

A=P1+rn100tn=25001+6210020×2=25001+310040=25001.0340=8,155.09

Thus, when n=2 the value of the amount is $8,155.09.

For n=4:

A=P1+rn100tn=25001+6410020×4=25001+1.510080=25001.01580=8,226.65

Thus, when n=4 the value of the amount is $8,226.65.

 

 

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