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

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The term to convert a future value amount into its present value is:

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C

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

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False

The present value equation is:

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D

Provide a graphical illustration of present value over a twenty year time span given rates of return of 0%, 5%, 10%, 15% and 20%.

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If you leave the money of $950 in the account for five years and the account earns 8% compounded annually, what will the balance in the account grow to?

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You have just been awarded a $200,000 insurance settlement. The insurance company has offered to invest this amount at a guaranteed interest rate of 4.5% for ten years. You think you can invest This money yourself and earn an average return of 8%. If you are able to do that, how much more Will your settlement be worth ten years from now than if you had left the funds with the insurance Company?

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An investor is considering depositing $10,000 and making $400 semi-annual contributions for the next five years. If one investment provides 5% compounded monthly and another investment provides 5.2% compounded semi-annually, determine the difference between the two investments.

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The formula for a present value calculation using Excel is:

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Discount rate is the interest rate used to calculate the present value of future cash flows.

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Given a constant future value and discount rate, an increase in the number of time periods will _____ the present value.

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What is the difference in future value if $20,000 is invested at 5% over ten years, with one option compounding interest semi-annually, while the other is based on quarterly compounding?

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What is the present value of $2,800 to be received three years from now if the discount rate is 9.5%?

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Today Richard is investing $1,000 at 5% interest for five years. One year ago, Richard invested $1,000 at 6.25% for six years. How much money will Richard have saved in total five years from now If both investments compound interest annually?

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Twenty years from now, you would like to purchase a cottage located on the shores of your favourite lake. You expect that you will have $250,000 available at that time for this purchase. You Could afford a home that is currently selling for ____ if the homes increase in value by 3% annually, But if the homes increase in value by 5% annually, you can only afford a home priced at _____ Today.

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Jamie deposits $1,000 into an account that pays 4% interest compounded annually. Chris deposits $1,000 into an account that pays 4% simple interest. Both deposits were made today. All else equal, Jamie made the better investment.

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Jessica invests $3,000 in an account that pays 5% simple interest. How much more could she have earned over a 7-year period if the interest had compounded annually?

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Provide a definition of compound interest.

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Your goal is to have two separate investments that will be worth $10,000 each ten years from today. Investment A will pay 6% interest. Investment B will pay 6.5% interest. You will make a one-time Deposit into each account today. What is the difference between the amount you must invest today In Investment A as compared to the amount you must invest today in Investment B if you are to Reach your goal in ten years?

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Granny puts $35,000 into a bank account earning 4%. You can't withdraw the money until the balance has doubled. How long will you have to leave the money in the account?

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Margaret invests at 6% simple interest for six years. Pete invests at 6%, compounded annually, for eight years. Sylvia invests for eight years at 6% simple interest. Which one of the following Statements is correct if all three individuals invested the same amount of money on the same day?

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