You would like to have $800,000 when you retire in 40 years. How much should you invest each quarter if you can earn a rate of 2.3% compounded quarterly? a) How much should you deposit each quarter? S b) How much total money will you put into the account?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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You would like to have $800,000 when you retire in 40 years. How much should you invest each quarter if
you can earn a rate of 2.3% compounded quarterly?
a) How much should you deposit each quarter?
$
b) How much total money will you put into the account?
$
c) How much total interest will you earn?
Transcribed Image Text:You would like to have $800,000 when you retire in 40 years. How much should you invest each quarter if you can earn a rate of 2.3% compounded quarterly? a) How much should you deposit each quarter? $ b) How much total money will you put into the account? $ c) How much total interest will you earn?
Expert Solution
Concept:

The future value of an annuity is the amount that a series of payments, or annuity, will grow to after a specified number of periods at a certain interest rate. It represents the amount that will be accumulated at a future date, taking into account the effect of compound interest.

The formula for calculating the future value of an annuity is:

FV = PMT * (((1 + r)^n - 1) / r) * (1 + r)

Where: FV = Future Value

PMT = Payment amount

r = interest rate per period

n = number of periods

It's important to note that the interest rate and payment amount must be consistent and the number of periods must be expressed in the same time unit (e.g., months or years).

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