Exam 27: Time Value of Money

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Match the items below.
The value today of a future amount to be received or paid.
Compound interest
The value at a future date of a given amount invested.
Future value of a single amount
Return on principal plus interest for two or more periods.
Future value of an annuity
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The value today of a future amount to be received or paid.
Compound interest
The value at a future date of a given amount invested.
Future value of a single amount
Return on principal plus interest for two or more periods.
Future value of an annuity
Value today of a series of future amounts to be received or paid.
Present value of a single amount
The sum of all the payments or receipts plus the accumulated compound interest on them.
Present value of an annuity
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The process of determining the present value is referred to as discounting the future amount.

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What is the present value of $90000 due 7 years from now discounted at 9%? (b) What is the present value of $150000 due 5 years from now discounted at 12%?

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The decision to make long-term capital investments is best evaluated using discounting techniques that recognize the time value of money.

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Present value is based on

(Multiple Choice)
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In order to compute the present value of an annuity it is necessary to know the 1) discount rate. 2) number of discount periods and the amount of the periodic payments or receipts.

(Multiple Choice)
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Robin Clark has a cell phone that she uses only for emergencies. The cost of the phone is $40 a month. The cellular company is offering unlimited nights and weekends for an additional $10 a month ($120 a year). Robin thinks it would be "cool" to have this benefit and after all $10 a month is not so much. Show Robin how much she will have in 20 years if she invests this $120 a year at 9% instead of accepting the unlimited nights and weekends offer.

(Short Answer)
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Frye Company is considering investing in an annuity contract that will return $50000 annually at the end of each year for 20 years. What amount should Frye Company pay for this investment if it earns an 8% return?

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Suzy Douglas has been offered the opportunity of investing $73540 now. The investment will earn 8% per year and at the end of its life will return $200000 to Suzy. How many years must Suzy wait to receive the $200000?

(Multiple Choice)
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Interest is the difference between the amount borrowed and the principal.

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Hazel Company has just purchased equipment that requires annual payments of $40000 to be paid at the end of each of the next 4 years. The appropriate discount rate is 15%. What is the present value of the payments?

(Multiple Choice)
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If $40000 is put in a savings account paying interest of 4% compounded annually what amount will be in the account at the end of 5 years?

(Multiple Choice)
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Suppose you have a winning lottery ticket and you are given the option of accepting $3000000 three years from now or taking the present value of the $3000000 now. The sponsor of the prize uses a 6% discount rate. If you elect to receive the present value of the prize now the amount you will receive is

(Multiple Choice)
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You are purchasing a car for $25000 and you obtain financing as follows: $2500 down payment 12% interest semiannual payments over 5 years. Instructions Compute the payment you will make every 6 months.

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When the periodic payments are not equal in each period the future value can be computed by using a future value of an annuity table.

(True/False)
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Pleasant Company has decided to begin accumulating a fund for plant expansion. The company deposited $80000 in a fund on January 2 2013. Pleasant will also deposit $40000 annually at the end of each year starting in 2013. The fund pays interest at 4% compounded annually. What is the balance of the fund at the end of 2017 (after the 2017 deposit)?

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Mandy How plans to buy an automobile and can deposit $3000 toward the purchase today. If the annual interest rate is 8% how much can Mandy expect to have as a down payment in 3 years?

(Short Answer)
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Compound interest is the return on principal

(Multiple Choice)
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Kim Black plans to buy a truck for $24000 after 3 years. If the interest rate is 6% how much money should Kim set aside today for the purchase?

(Short Answer)
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The future value of 1 factor will always be

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