Personal Finance Problem Accumulating a growing future sum You have $30,000, and you are making the de cision between consumption and investment. You are considering either using all of the money to buy a new car or investing the whole amount. You have two invesi. ment options: You can either put the money into a savings account with a nominal interest rate of 5% compounded monthly, or invest the money in stocks with an er. pected return of 6% compounded continuously. a. If you choose to invest, how much will you have 6 years latet if you invested in (1) the savings account, or (2) stocks? b. If you invested in the savings account, how lohg will it take for you to double your money? c. Suppose the price of the car inflates by 2% per year. If you choose to invest your money in stocks, how long will it take for you to be able to afford 2 cars?

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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Personal Finance Problem
Accumulating a growing future sum You have $30,000, and you are making the de
cision between consumption and investment. You are considering either using all of
the money to buy a new car or investing the whole amount. You have two invesi.
ment options: You can either put the money into a savings account with a nominal
interest rate of 5% compounded monthly, or invest the money in stocks with an er.
pected return of 6% compounded continuously.
a. If you choose to invest, how much will you have 6 years latet if you invested in
(1) the savings account, or (2) stocks?
b. If you invested in the savings account, how lohg will it take for you to double
your money?
c. Suppose the price of the car inflates by 2% per year. If you choose to invest your
money in stocks, how long will it take for you to be able to afford 2 cars?
Transcribed Image Text:Personal Finance Problem Accumulating a growing future sum You have $30,000, and you are making the de cision between consumption and investment. You are considering either using all of the money to buy a new car or investing the whole amount. You have two invesi. ment options: You can either put the money into a savings account with a nominal interest rate of 5% compounded monthly, or invest the money in stocks with an er. pected return of 6% compounded continuously. a. If you choose to invest, how much will you have 6 years latet if you invested in (1) the savings account, or (2) stocks? b. If you invested in the savings account, how lohg will it take for you to double your money? c. Suppose the price of the car inflates by 2% per year. If you choose to invest your money in stocks, how long will it take for you to be able to afford 2 cars?
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