Exam 3: Understanding and Appreciating the Time Value of Money

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The future value of a current investment earning a positive rate of return is always greater than the present value of the investment.

(True/False)
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One day as you were going through some old memorabilia, you discovered an old savings account in which you placed $100 twenty years ago. When you checked out the account, it currently had a balance of $320.71. What annual rate of interest did you earn?

(Multiple Choice)
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Adrian is a single man and wants to save up enough money to put as a down payment on a new house in 5 years. He has read that the best way to purchase a house is with a 20% down payment. He has a large income and very little debt right now so he can afford to save a substantial amount of money every month. He is asking you for some advice to help him reach his goal. -It is now 5 years later and Adrian has saved up enough money to make a 20% downpayment on a new house. He will have to borrow $135,000 at an annual rate 6% for 30 years, compounded monthly. What will his monthly mortgage payment be?

(Multiple Choice)
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A compound annuity involves depositing or investing an equal sum of money at the end of each time period for a certain number of time periods and allowing it to grow.

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What would be the interest rate on a loan of $9,981.78 that you paid off with annual payments of $2,500 for each of the next five years?

(Multiple Choice)
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The discount rate is the interest rate used to bring ________ back to ________.

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Consider that you are paying back a fully amortized loan. Which of the following statements is most correct?

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Generally speaking, saving a little money on a regular basis when you are young can result in a large final payoff.

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If you set your calculator to the "end" mode your calculator will assume cash flows occur at the end of each time period.

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Suppose that you invested $100 in a bank account that earned an annual rate of return of 10%. How much would you have in that bank account at the end of 10 years?

(Multiple Choice)
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Your money will grow or compound ________ as the number of compounding periods per year becomes ________.

(Multiple Choice)
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Your daughter has been saving $500 a year for each of the last 10 years for her "sweet sixteen" party. How much is now in her party account (at the end of the tenth year) if she earned an annual rate of return of 6%?

(Multiple Choice)
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Which one of the following is the "enemy" of compound interest and makes it very difficult to reach your financial goals?

(Multiple Choice)
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Adrian is a single man and wants to save up enough money to put as a down payment on a new house in 5 years. He has read that the best way to purchase a house is with a 20% down payment. He has a large income and very little debt right now so he can afford to save a substantial amount of money every month. He is asking you for some advice to help him reach his goal. -Assume that Adrian will need $30,000 for his 20% downpayment in 5 years. Which of the following is closest to the amount that he will have to save every year in an investment that pays 9%, compounded annually?

(Multiple Choice)
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How much can you borrow today if you can make payments of $3,600 a year for the next five years and the interest rate is 10%?

(Multiple Choice)
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For someone who has $100,000 to save for 20 years, would a 4% Certificate of Deposit that compounds annually be a better deal than a 3.94% Certificate of Deposit that compounds quarterly? Why?

(Essay)
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Why should you care about the power of compounding and the time value of money?

(Multiple Choice)
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Suppose that you want to create a "retirement party fund" for yourself and place $50 in a bank account for each of the next 20 years. If that account earns an annual rate of return of 7%, how much will be in your retirement party fund at the end of the twentieth year?

(Multiple Choice)
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A compound annuity uses the principles of

(Multiple Choice)
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What is the present value of an IOU for $1,000 due to be paid in two years, if the discount rate is 8%?

(Multiple Choice)
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