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

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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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An investor deposited $10,500 in an account. At the end of year four, the account had accumulated $5,728.88. Over the first four years, the account earned ________ compounded annually.

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Five friends all open investment accounts today. Which one will withdraw the largest amount of money from their account assuming that they each withdraw their funds at the end of their initial investment period?

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Present value is the value today of future cash flows discounted at the appropriate discount rate.

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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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What is the rate needed (compounded monthly) for $10,000 to mature to $25,000 in 15 years?

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You collect old model trains. One particular model increases in value at a rate of 6.5% per year. Today, the model is worth $1,670. How much additional money can you make if you wait 4 years to sell the model rather than selling it 2 years from now?

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What is the difference in future value if $40,000 is invested at 5% over twenty years, with one option compounding interest annually, while the other is based on monthly compounding?

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Future value is best defined as:

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Frank invests $2,500 in an account that pays 6% simple interest. How much money will he have at the end of four years?

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Provide a definition of future value (FV).

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How much would you have to invest today at 8% compounded annually to have $25,000 available for the purchase of a car four years from now?

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If $10,000 was invested at 4% over ten years, determine the difference if this investment was based on simple interest versus interest that was compounded annually.

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You will receive a $100,000 inheritance in 20 years. You can invest that money today at 6% compounded annually. What is the present value of your inheritance?

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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.

(Multiple Choice)
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You wish to have $200,000 at the end of twenty years. In the last five years, you withdraw $1,000 annually at a rate of 3.8% compounded quarterly. During the middle ten years, you contribute $500 monthly at a rate of 2.8% compounded semi-annually. Given this information, determine the initial deposit that has to be made at the start of the first five years at a rate of 4% compounded monthly.

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Write a sentence explaining why present values decrease as the discount rate increases.

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Define and explain the relationship between the present value and the discount rate. Graphically illustrate this relationship.

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You just won the lottery and want to put some money away for your child's college education. College will cost $65,000 in 18 years. You can earn 8% compounded annually. How much do you need to invest today?

(Multiple Choice)
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The future value will increase the shorter the period of time.

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