Any bank offers two types of deposit accounts. On the one hand, 7.5% are offered nominal interest and interest calculated at the end of the year, but the other on the other hand, a nominal interest rate of 7.25% is calculated continuously. Suppose we are going to make a deposit a certain amount and keep it in an account one year. Which model should we choose if we want to maximize returns?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Any bank offers two types of deposit accounts. On the one hand, 7.5% are offered

nominal interest and interest calculated at the end of the year, but the other

on the other hand, a nominal interest rate of 7.25% is calculated continuously.

Suppose we are going to make a deposit a certain amount and keep it in an account one year. Which model should we choose if we want to maximize returns?

Expert Solution
Step 1

Nominal rate of interest is otherwise called as the compound interest.

Here rate of interest for 1 year is 7.5%

Compounded interest,

A=P(1+rn)nt

Where P be the initial amount,

A be the future value,

r be the rate of interest,

n be the number of times compounded in one year

t be time.

Here We are initially taken P=$1000

Given, r=7.5%=0.075

n=12 months

t=1 year

A=10001+0.0751212

=10001+0.0062512=1000(1.00625)12 =1000(1.0776)=$1077.6

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