Exam 14: Time Value of Money

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Marvin's Manufacturing can invest in a new process, but will need to purchase new equipment. The cost of the equipment is $75,000 and needs to be in place in 8 years. The company invests the money at 8% interest compounded semiannually. How much will they need to invest in order to have $75,000 in 8 years?

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$40,043.25 (or $40,043.14)
This problem will typically be solved using the Present Value of a Single Amount Table for 16 periods at 4%. The problem can also be solved using the Future Value of a Single Amount Table for 16 periods at 4%. Although the latter is less conventional, it will produce the correct answer. However, the answers will differ slightly due to rounding of the tables to five decimal places.
Periods 8 years * 2 = 16
Rate: $40,043.25 (or $40,043.14) This problem will typically be solved using the Present Value of a Single Amount Table for 16 periods at 4%. The problem can also be solved using the Future Value of a Single Amount Table for 16 periods at 4%. Although the latter is less conventional, it will produce the correct answer. However, the answers will differ slightly due to rounding of the tables to five decimal places. Periods 8 years * 2 = 16 Rate:   Present Value of a Single Amount: $75,000 x PV of a Single Amount, 16 periods, 4% $75,000 * 0.53391 = $40,043.25 Future Value of a Single Amount: $75,000 / FV of a Single Amount, 16 periods, 4% $75,000 / 1.87298 = $40,043.14 Present Value of a Single Amount:
$75,000 x PV of a Single Amount, 16 periods, 4%
$75,000 * 0.53391 = $40,043.25
Future Value of a Single Amount:
$75,000 / FV of a Single Amount, 16 periods, 4%
$75,000 / 1.87298 = $40,043.14

Merlin is saving money to purchase a new car. If he deposits $5,000 into a saving account that pays 8% interest, compounded semi-annually, how much will he have in his account at the end of the first year?

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C

The future value of a single amount is the original cash flow plus simple interest as of a specific future date.

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Tom is saving for an engagement ring. If he deposits $500 payments into an account (one at the end of each year)that earns 6% interest compounded annually, how much will he have saved by the end of the 10th year?

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Mark is planning on making an investment in a new computer system. He wants to know how much he must invest to have $9,000 in 4 years if the interest rate is 5% per year?

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The _______________ treats the present value as a liability that will be paid through a series of equal payments.

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In transactions involving the borrowing or lending of money, as interest is paid, the balance in the liability account of the borrower

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The first cash flow in the future value of an annuity occurs when?

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You just won the lottery and have elected to receive 10 annual payments instead of the lump sum of $74,818.59. Calculate the amount of your annual payment assuming a 6% interest rate.

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Beach Catering sold its business for $75,000 under an asset purchase agreement. Under the agreement, the buyer made an initial payment of $35,000 which Beach Catering invested at 6% compounded semiannually. At the beginning of the fourth year, the balance of the purchase price was paid by the buyer. Beach Catering places this $40,000 in the same investment with interest compounded semiannually at 6%. At the end of 6 years, how much does Beach Catering have in its investment account?

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If the stated interest rate is 12% per year, but it is compounded semiannually, then the adjusted rate used for present or future value calculations will be

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What is the interest rate of a single $20,000 cash flow in 3 years if the present value is $15,443.60?

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Jack and Jill are saving for a house. How much will they have saved if they make 8 deposits of $5,000 each (one at the end of each year)into an account that earns 4% interest compounded annually?

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Compound interest is a method of calculating the time value of money in which interest is earned on the previous periods' interest.

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An investor expects to receive payments of $3,000 every 6 months for the next 7 years. If the market rate of interest is 4% per year compounded semi-annually, what is the future value of these payments?

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Interest may only be charged to a borrower by a bank.

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Manatee Manufacturing sells a piece of equipment to make room for new machinery. Manatee will receive the sales price of $50,000 at the end of 4 years. Assuming interest at a rate of 6% per year, the Present Value of this future cash flow is how much?

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The initial amount of money borrowed or loaned is also known as the future value of cash flows.

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Cash flows that are equal and occur multiple times, one period apart are called Annuities.

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The journal entry to record the interest income from an annuity would include a

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