Exam 6: Time Value of Money

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The present value factor (PVF) and the future value factor (FVF) are related:

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A perpetuity has a cash flow of $18.75 and a discount rate of 6%. What is the value of the perpetuity?

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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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A cash flow projected tomorrow for a specific period of time is a:

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If a series of equal payments is received regularly at the end of the year, and each is deposited immediately at the same interest rate, the ____ is the sum of all the payments and all the interest earned at the end of the series.

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Assume that you have just won $5,000,000 in the lottery and will receive $250,000 per year for the next 20 years. How much is your prize worth today if the interest rate is 8%?

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A sum of money promised you at a time in the future is worth only as much as you would have to put in a bank today to have that sum available at that point in time.

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If $10,000 is received and deposited at 10% at the end of each of the next six years, how much will be in the account after the last payment is deposited?

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If a series of equal payments is paid regularly out of a bank account which earns a constant rate of interest, the ____ is the amount that must be in the bank at the beginning of the series to just fund all of the payments.

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Finding the discounted value of $1,000 to be received at the end of each of the next five years requires calculating the:

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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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Present value calculations assume that an investor always prefers an investment's present value to its future cash flows.

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A $300,000.00 thirty year mortgage has a monthly payment of $1,798.65. Assuming a mortgage rate of 6% APR, how much interest is due on the first mortgage payment?

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When using a future value of an annuity table:

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The annual effective rate of interest is a function of:

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Find the present value of a payment stream of $100 per year for the first fifteen years and $200 per year for the next five years, given a 12% discount rate.

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Five years after an accident, you received $100,000 to pay the medical expenses incurred at the time of the accident. What is the present value (at the time of the accident) of the payment? Assume interest rates are 9%.

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You have borrowed $130,000 to buy a new motor home. Your loan is to be repaid over 15 years at 8% compounded monthly. Calculate the total amount of interest you will pay over the life of the loan.

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What present amount is equivalent to $100 received at the end of each year for 8 years, given an opportunity cost of 20%?

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The future value of an annuity:

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