Exam 6: Time Value of Money

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Preferred stock dividends are:

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If you invest $10,000 in a 4-year certificate of deposit (CD)paying 10 percent interest compounded annually, determine how much the CD will be worth at the end of 4 years.

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The future value of an annuity:

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You wish to save $500,000 in the next 25 years. You notice that a corporate bond fund that earns about 11 percent per year and decide to invest in it. How much must you save each year to obtain your goal?

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Your grandparents put $1,000 into a savings account for you when you were born 20 years ago. This account has been earning interest at a compound rate of 7 percent. What is its value today?

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The present value of an annuity is simply the sum of the annuity's payments, traditionally made at the end of each of the time periods.

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Marcy wants to buy a new car in one year.  She currently has $1,500 in the bank. Marcy plans to save $250 a month towards the car.  How much will Marcy have for a down payment assuming her bank pays 6% compounded monthly? ​

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Ordinary annuities differ from annuities due in that annuities due occur at the ends of time periods while ordinary annuities occur at the beginning.

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When interest rates are high, people prefer investments that return cash quickly.

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The time value of money means that a dollar today is worth less than a dollar at any time in the future.

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What is the effective rate of interest on a CD that has a nominal rate of 9.5 percent with interest compounded monthly?

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Determine how much you would be willing to pay for a security that pays $60 annually indefinitely (a perpetuity), assuming you require an 8 percent return on this investment.

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A(n)____ is a financial instrument that agrees to pay an equal amount of money per period into the indefinite future (i.e. forever).

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You want to purchase a car for $40,000 when you graduate in two years. At that time you will take out a 5-year bank loan at 12% compounded monthly. Based on your estimated earnings, you think you'll be able to afford loan payments of $750 per month. You plan to save up the difference between the cost of the car and the amount you'll borrow by making quarterly deposits over the next two years in a bank account that pays 8% compounded quarterly. How large must those deposits be? (Round to the nearest dollar)

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What is the effective annual interest rate on a credit card with an interest rate of 15% per year, compounded monthly?

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You have just won a lottery that promises to pay you and your heirs $1000 dollars a month forever. How much could you get for this stream of cash if the rate of return is 6% compounded monthly?

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If the interest rate is 0%:

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Seabee makes quarterly (end of period)payments of $30,000 into a pension fund earning 12 percent compounded quarterly for 10 years. How much interest will have been earned in 10 years?

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The more frequent the compounding the:

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A thirty year $200,000.00 mortgage has a monthly payment of $1,199.10 based on a rate of 6% APR. After making 180 payments over fifteen years, how much of the mortgage do you still owe?

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