Exam 5: The Time Value of Money

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The time value of money concept can be defined as:

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C

An annuity:

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C

The interest rate charged per period multiplied by the number of periods per year is called the _____ rate.

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B

A "little seven" accounting firm offers to pay you a year-end bonus of $5,000 for 3 years if you will accept employment with them and stay for the entire 3-year period. Which of the following amounts is closest to the present value of the bonus if the interest rate is 10%?

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Find the present value of $5325.00 to be received in one period if the rate is 6.50%.

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The Ajax Co. just decided to save $1,500 a month for the next five years as a safety net for recessionary periods. The money will be set aside in a separate savings account which pays 3.25% interest compounded monthly. It deposits the first $1,500 today. If the company had wanted to deposit an equivalent lump sum today, how much would it have had to deposit?

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The equation [Ct/(1 + r)t] provides:

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Tina is able to pay $160 a month for five years for a car. If the interest rate is 4.9%, how much can Tina afford to borrow to buy a car?

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The government imposed a fine on the Not-So-Legal Company. The fine calls for a payment of $100,000 today, $150,000 one year from today, and $200,000 two years from today. The government will hold the funds until the final payment is collected and then donate the entire amount to charity. The government has agreed to pay annual interest of 3 percent on the held funds. How much will be donated to charity in two years?

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Alan Burnie has just started work and has been wanting to buy a sleek powerboat for sometime. Rather than purchase and finance now, he plans to save every three months and increase the deposits by 3% per annum as he expects raises at least that large. How much must the first deposit be if the boat costs $25,000 today and he expects to earn 10% on the money over the next five years?

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There are three factors that affect the present value of an annuity. Explain what these three factors are and discuss how an increase in each will impact the present value of the annuity.

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You are comparing two annuities with equal present values. The applicable discount rate is 6.5 percent. One annuity will pay $2,000 annually, starting today, for 20 years. The second annuity will pay annually, starting one year from today, for 20 years. What is the annual payment for the second annuity?

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What is meant by "amortizing a loan"?

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You have a sub-contracting job with a local manufacturing firm. Your agreement calls for annual payments of $50,000 for the next five years. At a discount rate of 12%, what is this job worth to you today?

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Present value may be defined as:

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The equation (1 + (r/m))m-1 gives the:

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As an excellent student in environmental ecology you have been awarded the "Clean Effluent Prize" by state agency. You (or your estate) are to receive $300 forever from the state or the agency will allow you to choose $400 over the next 25 years. Payments are to be received semi-annually and if the market rate of interest is 6% what is the value of the two options respectively?

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What is the net present value of a project that contributes $25,000 at the end of the first year and $12,000 at the end of the second year. The initial cost is $33,000. The appropriate interest rate is 7% for the first year and 10% for the second year.

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Charles Carr borrowed $3,500 to consolidate his debts. Since Charles had an excellent credit rating, he was able to borrow at a 12% effective annual rate. Charles is required to make monthly payments. Charles will make equal payments for the next 36 months. Which one of the following values is closest to his monthly payments?

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A mortgage instrument pays $1.5 million at the end of each of the next two years. An investor has an alternative investment with the same amount of risk that will pay interest at 8% compounded semiannually. Which of the following amounts is closest to what the investor should pay for the mortgage instrument?

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