You are considering purchasing a car in 4 years, anticipating a purchase price of $40,000.  a. How much do you need to deposit in an account today, if you want to have $40,000 in the account in 4 years, assuming the account earns 5% annual interest rate? (Assume annual compounding) b. If you deposit $30,000 in the account today, what rate of interest would you need to earn annually in order to have exactly $40,000 in the account in 4 years? (Assume annual compounding) c. If your account earns 0.25% of interest every month, and if you make an initial deposit of $10,000 today, how much do you need to deposit every month in your account in order to have exactly $40,000 in 4 years? (Assume monthly compounding)

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 are considering purchasing a car in 4 years, anticipating a purchase price of $40,000. 
a. How much do you need to deposit in an account today, if you want to have $40,000 in the account in 4 years, assuming the account earns 5% annual interest rate? (Assume annual compounding)
b. If you deposit $30,000 in the account today, what rate of interest would you need to earn annually in order to have exactly $40,000 in the account in 4 years? (Assume annual compounding)
c. If your account earns 0.25% of interest every month, and if you make an initial deposit of $10,000 today, how much do you need to deposit every month in your account in order to have exactly $40,000 in 4 years? (Assume monthly compounding)

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