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Suppose you are 40 years old and plan to retire in exactly 20 years. 21 years from now you will need to withdraw RM5,000 per year from a retirement fund to supplement your social security payments. You expect to live to the age of 85. How much money should you place in the retirement fund each year for the next 20 years to reach your retirement goal if you can earn 12% interest per year from the fund?

Suppose you are 40 years old and plan to retire in exactly 20 years. 21 years from now you will need to withdraw RM5,000 per year from a retirement fund to supplement your social security payments. You expect to live to the age of 85. How much money should you place in the retirement fund each year for the next 20 years to reach your retirement goal if you can earn 12% interest per year from the fund?

Essentials Of Investments
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
Problem 1PS
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ANSWER ALL QUESTIONS. PLEASE PROVIDE WORKINGS TO YOUR SOLUTIONS. 1. Suppose you are 40 years old and plan to retire in exactly 20 years. 21 years from now you will need to withdraw RM5,000 per year from a retirement fund to supplement your social security payments. You expect to live to the age of 85. How much money should you place in the retirement fund each year for the next 20 years to reach your retirement goal if you can earn 12% interest per year from the fund? 2. You intend to purchase a new car upon graduation in two years. It will have a cost of RM29,371, including all extra features and sales tax. You just received a RM3,000 pre-graduation gift from your rich uncle that you intend to deposit in a money market account that pays 6% interest, compounded monthly. If you use the amount in the money market account for a down payment, and take out an auto loan for the remainder, how much will you need to borrow? 3. Anna and Bob have decided to buy an apartment. The cost of the apartment is RM150,000. They can get a 25-year mortgage at 8% and plan to make a down payment of 20% of the selling price. What will be their monthly mortgage payment? 4. You have just graduated and need money to buy a new car. Your rich Uncle Chan will lend you the money so long as you agree to him back within four years, and you offer to pay him the rate of interest that he would otherwise get by putting his money in a savings account. Based on your earnings and living expenses, you think you will be able to pay him RM5,000 in one year, and then RM8,000 each year for the next three years. If Uncle Chan would otherwise earn 6% per year on his savings, how much can you borrow from him?
Transcribed Image Text:ANSWER ALL QUESTIONS. PLEASE PROVIDE WORKINGS TO YOUR SOLUTIONS. 1. Suppose you are 40 years old and plan to retire in exactly 20 years. 21 years from now you will need to withdraw RM5,000 per year from a retirement fund to supplement your social security payments. You expect to live to the age of 85. How much money should you place in the retirement fund each year for the next 20 years to reach your retirement goal if you can earn 12% interest per year from the fund? 2. You intend to purchase a new car upon graduation in two years. It will have a cost of RM29,371, including all extra features and sales tax. You just received a RM3,000 pre-graduation gift from your rich uncle that you intend to deposit in a money market account that pays 6% interest, compounded monthly. If you use the amount in the money market account for a down payment, and take out an auto loan for the remainder, how much will you need to borrow? 3. Anna and Bob have decided to buy an apartment. The cost of the apartment is RM150,000. They can get a 25-year mortgage at 8% and plan to make a down payment of 20% of the selling price. What will be their monthly mortgage payment? 4. You have just graduated and need money to buy a new car. Your rich Uncle Chan will lend you the money so long as you agree to him back within four years, and you offer to pay him the rate of interest that he would otherwise get by putting his money in a savings account. Based on your earnings and living expenses, you think you will be able to pay him RM5,000 in one year, and then RM8,000 each year for the next three years. If Uncle Chan would otherwise earn 6% per year on his savings, how much can you borrow from him?
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