Robert has struck an agreement to buy his dad's car. The sale takes place when Robert can pay the depreciated value of the car. The car is valued at $38,000 today but loses 0.5% in value each month due to depreciation. Robert starts a regular savings plan to buy the car and plans to invest $100 at the end of each month into an account that earns him 0.25% per month. (a) Calculate, to the nearest month, how long Robert must wait before he can buy the car? (b) Robert wants to have the car in ten years and so he searches for a bank account that can pay a higher interest rate. What is the minimum rate he must look for to achieve his goal? (c) The best offer rate Robert can find is 0.8% per month, but he is determined to get the car. He plans to revise his monthly savings amount. Calculate the minimum this has to be to achieve his goal.

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
Section: Chapter Questions
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Note: To fully answer this question, the use of numerical approximation methods is required. A
spreadsheet may be useful too.
Robert has struck an agreement to buy his dad's car. The sale takes place when Robert can pay the
depreciated value of the car.
The car is valued at $38,000 today but loses 0.5% in value each month due to depreciation.
Robert starts a regular savings plan to buy the car and plans to invest $100 at the end of each month
into an account that earns him 0.25% per month.
(a) Calculate, to the nearest month, how long Robert must wait before he can buy the car?
(b) Robert wants to have the car in ten years and so he searches for a bank account that can pay
a higher interest rate. What is the minimum rate he must look for to achieve his goal?
(c) The best offer rate Robert can find is 0.8% per month, but he is determined to get the car. He
plans to revise his monthly savings amount. Calculate the minimum this has to be to achieve
his goal.
Transcribed Image Text:Note: To fully answer this question, the use of numerical approximation methods is required. A spreadsheet may be useful too. Robert has struck an agreement to buy his dad's car. The sale takes place when Robert can pay the depreciated value of the car. The car is valued at $38,000 today but loses 0.5% in value each month due to depreciation. Robert starts a regular savings plan to buy the car and plans to invest $100 at the end of each month into an account that earns him 0.25% per month. (a) Calculate, to the nearest month, how long Robert must wait before he can buy the car? (b) Robert wants to have the car in ten years and so he searches for a bank account that can pay a higher interest rate. What is the minimum rate he must look for to achieve his goal? (c) The best offer rate Robert can find is 0.8% per month, but he is determined to get the car. He plans to revise his monthly savings amount. Calculate the minimum this has to be to achieve his goal.
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