Exam 27: the Time Value of Money: Future Amounts and Present Values

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If I invest $50,000 today for 5 years and it grows to $84,550,what rate of interest have I received? Use Table FA-1. If I invest $50,000 today for 5 years and it grows to $84,550,what rate of interest have I received? Use Table FA-1.

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C

Compound interest:

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B

Explain how compound interest applies to the time value of money.

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The relationship between present and future value amounts assume that the interest earned on an investment can be reinvested rather than withdrawn.Compound interest thus means that interest can be earned on previously earned reinvested interest.Over time,an investment in which interest is compounded continuously will increase to oftentimes very large amounts.

An annuity due assumes the cash flow will occur at the beginning of the period.

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The future amount of an annuity is calculated by multiplying the present value of the annuity by its applicable factor from a table.

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Your wealthy aunt wishes to give you a trip to Paris when you graduate from college in three years.She estimates the trip will cost $4,000.How much must she invest now at 5% to accumulate enough for you to take this trip? Use Table PV-1. Your wealthy aunt wishes to give you a trip to Paris when you graduate from college in three years.She estimates the trip will cost $4,000.How much must she invest now at 5% to accumulate enough for you to take this trip? Use Table PV-1.

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The present value of an ordinary annuity is the amount that equal payments made at the end of successive equal periods is worth today.

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The time value of money is based on the idea that:

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Powers Company wishes to issue $2,000,000 of 8%,10-year bonds that pay interest semi-annually.The current discount rate is 6%.What amount should the bonds sell for?

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The rate of interest is usually expressed as an annual rate.

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To determine the amount to be deposited in a bank today to grow to $5,000 three years from now at 7%,which table should be used?

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If you invested $10,000 at 6% on your 20th birthday how much would you have on your 40th birthday? Use Table FA-1. If you invested $10,000 at 6% on your 20th birthday how much would you have on your 40th birthday? Use Table FA-1.

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The present value of a single amount can only be calculated through the application of complex calculations.

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If I invest $20,000 at 2.5% today,how long will it take to reach a minimum of $50,000 compounded semi-annually?

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The future value of an annuity is:

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A scholarship fund has $75,000 to invest now to provide scholarships to high school students.They want to have at least $150,000 in 9 years.What rate of interest must they invest this money at to reach their goal? Use Table PV-1. A scholarship fund has $75,000 to invest now to provide scholarships to high school students.They want to have at least $150,000 in 9 years.What rate of interest must they invest this money at to reach their goal? Use Table PV-1.

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As the discount rate required by an investor increases,the present value of an investment decreases.

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The market price of a bond is equal to its present value.

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How much must I invest today in order to have $25,000 in 5 years assuming 12% interest compounded annually? Use Table PV-1. How much must I invest today in order to have $25,000 in 5 years assuming 12% interest compounded annually? Use Table PV-1.

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Consider the two questions related to Barbara,who wants to purchase a car. (a)How long will it take Barbara to accumulate $30,000 to buy a car if she invests $15,000 at 5%? (b)How long will it take if she invests the same amount at 4% semi-annually?

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