Compute the present value of a $850 payment made in 10 years when the discount rate is 12



Chapter 3:   The Time Value of Money

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1. You want to buy an ordinary annuity that will pay you $4,000 a year for the next 20 years. You expect annual interest rates will be 8 percent over that time period. The maximum price you would be willing to pay for the annuity is closest to$32,000.
$39,272.
$40,000.
$80,000.
2. With continuous compounding at 10 percent for 30 years, the future value of an initial investment of $2,000 is closest to$34,898.
$40,171.
$164,500.
$328,282.
3. In 3 years you are to receive $5,000. If the interest rate were to suddenly increase, the present value of that future amount to you wouldfall.
rise.
remain unchanged.
cannot be determined without more information.
4. Assume that the interest rate is greater than zero. Which of the following cash-inflow streams should you prefer?    Year1      Year2     Year3      Year4    $400       $300      $200        $100
$100       $200      $300        $400
$250       $250      $250        $250
Any of the above, since they each sum to $1,000.
5. You are considering investing in a zero-coupon bond that sells for $250. At maturity in 16 years it will be redeemed for $1,000. What approximate annual rate of growth does this represent?8 percent.
9 percent.
12 percent.
25 percent.
6. To increase a given present value, the discount rate should be adjustedupward.
downward.
True.
Fred.
7. For $1,000 you can purchase a 5-year ordinary annuity that will pay you a yearly payment of $263.80 for 5 years. The compound annual interest rate implied by this arrangement is closest to8 percent.
9 percent.
10 percent.
11 percent.
8. You are considering borrowing $10,000 for 3 years at an annual interest rate of 6%. The loan agreement calls for 3 equal payments, to be paid at the end of each of the next 3 years. (Payments include both principal and interest.) The annual payment that will fully pay off (amortize) the loan is closest to$2,674.
$2,890.
$3,741.
$4,020.
9. When n = 1, this interest factor equals one for any positive rate of interest.PVIF
FVIF
PVIFA
FVIFA
None of the above (you can't fool me!)
10. (1 + i)nPVIF
FVIF
PVIFA
FVIFA
11.You can use          to roughly estimate how many years a given sum of money must earn at a given compound annual interest rate in order to double that initial amount .Rule 415
the Rule of 72
the Rule of 78
Rule 144
12.In a typical loan amortization schedule, the dollar amount of interest paid each period          . increases with each payment
decreases with each payment
remains constant with each payment
13.In a typical loan amortization schedule, the total dollar amount of money paid each period          .increases with each payment
decreases with each payment
remains constant with each payment

Compute the present value of a $850 payment made in 10 years when the discount rate is 12
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Compute the present value of a $850 payment made in 10 years when the discount rate is 12

This calculator is commonly used to estimate your monthly payment, by filling in the following information and click "compute":

  • Interest rate
  • Number of payments, and
  • Amount of money you need to borrow (the principal).

To calculate any of these items, simply leave that field blank and press Compute. If there are no blank fields, the Monthly Payment will be calculated. NOTE: Javascript is required to use the loan calculator.

Entering Information into the Loan Calculator

You can compare information on up to three different Loan Options at one time. When entering information into the calculator, please use the following guidelines:

  • Interest Rate is the APR from the loan rate chart. If the loan rate is 6.5% you would type 6.5 into the Interest Rate blank
  • # of Payments is the number of monthly payments you will make to pay off the loan. For example, if the approximate term of the loan is 4 years or 48 months, you would enter 48 in the # of Payments blank
  • Principal is the amount of money you want to borrow. If you want to borrow $7,500 you would enter 7500 in the Principal blank
  • Monthly Payment is the estimated amount of money you will need to pay each month to pay off the loan

Comparing your loan options:

You can actually use this calculator to estimate any of these pieces by filling in the three known amounts and clicking "compute". For example, if you know how much you can afford for a monthly payment over a certain number of months and you want to calculate how much money you might afford to borrow, you can enter Interest Rate, # of Payments, and Monthly Payments and click "compute" to calculate what the Principal will be.