Exam 9: The Time Value of Money

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The annualized return on an investment can be determined by reference to a table for the present value of $1.

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What is the maximum price you would pay for an investment that guarantees a payment of $1,000 a month beginning immediately lasts for 15 years and yields 12%?

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To find the yield on investments that require the payment of a single amount initially,and which then return a single amount sometime in the future,the correct table to use is:

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Cash flow decisions that ignore the time value of money will probably not be as accurate as those decisions that do rely on the time value of money.

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You have an opportunity to buy a $1,000 bond,which matures in 10 years.The bond pays $30 every six months.The current market interest rate is 8%.What is the most you would be willing to pay for this bond?

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When the inflation rate is zero,the present value of $1 is identical to the future value of $1.

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Higher interest rates (discount rates)reduce the present value of amounts to be received in the future.

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Mr.Nailor invests $5,000 in a certificate of deposit at his local bank.He receives annual interest of 8% for 7 years.How much interest will his investment earn during this time period?

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Samuel Johnson invested in gold Maple Leaf coins 10 years ago,paying $185 for each one-ounce gold coin.He could sell each coin for $734 today.What was his annual rate of return for this investment?

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Alternative 2 results in the lowest overall cost and lowest interest cost.A 20 year mortgage biweekly costs $216.04/month more than a 25-year but saves $64,062 over 20 years.The cost per month of bimonthly payments is also slightly lower than monthly payments.This is a good exercise to demonstrate the advantage of shorter term mortgages. -How long does it take $1,000 to double in value if you have a A)3% return B)6% return C)10% return Assume compounding monthly.

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The time value of money concept is fundamental to the analysis of cash inflow and outflow decisions covering periods of over one year.

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As the time period until receipt decreases,the present value of an amount at a fixed interest rate:

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Mr.Darden is selling his house for $165,000.He bought it for $55,000 nine years ago.What is the annual return on his investment?

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You can purchase a strip bond at $888 that has a term to maturity of 7 years.What would be the Yield-to-Maturity on this bond?

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A retirement plan guarantees to pay to you or your estate a fixed amount for 20 years.At the time of retirement you will have $73,425 to your credit in the plan.The plan anticipates earning 9% interest.How much will your annual benefits be?

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The FVIFA for the future value of an annuity is 4.641 at 10% for 4 years.If we wish to accumulate $8,000 by the end of 4 years,how much should the annual payments be?

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You are to receive $12,000 at the end of 5 years.The available yield on investments is 6%.Which table would you use to determine the value of that sum today?

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As the interest rate decreases,the present value of an amount to be received at the end of a fixed period:

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You have decided to purchase a new home valued at $300,000.You have a 20% down payment the bank has offered to finance a mortgage at a rate of 3.25% over 30 years.What would be your biweekly payments?

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The interest factor for the present value of a single amount is the inverse of the future value interest factor.

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