EBK CFIN
EBK CFIN
6th Edition
ISBN: 9781337671743
Author: BESLEY
Publisher: CENGAGE LEARNING - CONSIGNMENT
Question
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Chapter 4, Problem 1PROB
Summary Introduction

If S invests $700 today at 4% interest compounded annually, calculate the balance after four years.

Future value is the value of the current investment or series of payments in the future compounded at predetermined interest rate for a specified period.

FV=PV(1+r)n

Here,

The future value is “FV”.

The present value is “PV”.

The interest rate is “r”.

The maturity period of time period is “n”.

Expert Solution & Answer
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Explanation of Solution

Calculate the future value as follows:

FV=PV(1+r)n=$700×(1+4%)4=$700×1.16985856=$818.900992 or $818.90

Therefore, the future value is $818.90.

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It is now January 1. You plan to make a total of 5 deposits of $500 each, one every 6 months, with the first payment being made today. The bank pays a nominal interest rate of 14% but uses semiannual compounding. You plan to leave the money in the bank for 10 years. Round your answers to the nearest cent. 1. How much will be in your account after 10 years? 2. You must make a payment of $1,280.02 in 10 years. To get the money for this payment, you will make five equal deposits, beginning today and for the following 4 quarters, in a bank that pays a nominal interest rate of 14% with quarterly compounding. How large must each of the five payments be?
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