Exam 5: Introduction to Valuation: the Time Value of Money

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State the future value formula and explain the effect that time has on the future value of an investment.

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You deposit $500,000 in a higher risk investment. Three years later, you receive $711,900 and withdraw your funds. Given this information calculate the balance at the end of year two.

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You have $500 in an account which pays 5% compound interest. How much additional interest would you earn over four years if you moved the money to an account earning 6%?

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Many economists view a 3% annual inflation rate as "acceptable". Assuming a 3% annual increase in the price of automobiles, how much will a new Suburban cost you five years from now, if today's price is $48,000?

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The future value of a single sum will increase more rapidly when the frequency of compounding decreases.

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An account was opened with $1,000 ten years ago. Today, the account balance is $1,500. If the account paid interest compounded annually, how much interest on interest was earned?

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Many financial calculators require that:

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You would like to invest some money today such that your investment will be worth $100,000 fifteen years from now. Your broker gives you two options. First, you can invest at a guaranteed annual rate of 4%. Or, you can invest in stocks and hopefully earn an average of 7% per year. How much more will you have to invest today if you opt for the fixed rate rather than the stocks?

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Provide a definition of discount.

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Gretchen Enterprises borrowed $149,500 for two years from the bank. At the end of the two years, they repaid the loan with one payment of $176,590. What was the interest rate on the loan?

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Explain intuitively why it is that present values decrease as the discount rate increases.

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Sun Lee has $500 today. Which one of the following statements is correct if she invests this money at a positive rate of interest for five years?

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Provide a definition of interest on interest.

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You own a classic automobile that is currently valued at $39,500. If the value increases by 6% annually, how much will the auto be worth ten years from now?

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Your goal is to build your first home seven years from now. The home that you desire currently costs $215,900. New home prices are increasing by 4.2% annually. If home prices continue rising at that pace, how much will your home cost when you are ready to build seven years from now?

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Approximately 13,500 students enrolled at Kwantlen University five years ago. Today, enrolment reached 18,800 students. Determine the annual growth rate in student enrolment.

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You want to have $10,000 saved ten years from now. How much less do you have to deposit today to reach this goal if you can earn 6% rather than 5% on your savings?

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Martha is going to receive $6,000 in two years from Tom. She will receive an additional $4,000 in three years from Tom. She earns 7.15% on her investments. How much is this money from Tom worth to Martha today?

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Marie needs $26,000 as a down payment for a house 4 years from now. She earns 5.25% on her savings. Marie can either deposit one lump sum today for this purpose or she can wait a year and deposit a lump sum. How much additional money must Marie deposit if she waits for one year rather than making the deposit today?

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All County Insurance, Inc. promises to pay Ted $1 million on his 65thbirthday in return for a one-time payment of $75,000 today. (Ted just turned 25) At what rate of interest would Ted be indifferent between accepting the company's offer and investing the premium on his own?

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