Exam 5: Interest Rates

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In 2007, interest rates were about 4.5% and inflation was about 2.8%. What was the real interest rate in 2007?

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When there are large numbers of people looking to save their money and there is little demand for loans, one would expect interest rates to be high.

(True/False)
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The table above shows the rate of return (APR) for four investment alternatives. Which offers the highest EAR? The table above shows the rate of return (APR) for four investment alternatives. Which offers the highest EAR?

(Multiple Choice)
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The effective annual rate (EAR) for a loan with a stated APR of 8% compounded monthly is closest to ________.

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Which of the following situations would result in lowering of interest rates by the banking authority of a country?

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Which of the following statements is FALSE about interest rates?

(Multiple Choice)
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Use the table for the question(s) below. Suppose the term structure of interest rates is shown below: Use the table for the question(s) below. Suppose the term structure of interest rates is shown below:    -What is the net present value (NPV) of an investment that costs $2,500 and pays $1,000 at the end of one, three, and five years? -What is the net present value (NPV) of an investment that costs $2,500 and pays $1,000 at the end of one, three, and five years?

(Essay)
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Five years ago you took out a 30-year mortgage with an APR of 6.5% for $200,000. If you were to refinance the mortgage today for 20 years at an APR of 4.25%, how much would your monthly payment change by?

(Multiple Choice)
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Quality adjustments to changes in the CPI most often result in reductions to the inflation rate calculated from it.

(True/False)
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Suppose the term structure of interest rates is shown below: Suppose the term structure of interest rates is shown below:   The present value (PV) of receiving $1100 per year with certainty at the end of the next three years is closest to ________. The present value (PV) of receiving $1100 per year with certainty at the end of the next three years is closest to ________.

(Multiple Choice)
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  The table above shows the interest rates available from investing in risk-free U.S. Treasury securities with different investment terms. What is the present value (PV) of cash flows from an investment that yields $6000 at the end of each year for the next four years? The table above shows the interest rates available from investing in risk-free U.S. Treasury securities with different investment terms. What is the present value (PV) of cash flows from an investment that yields $6000 at the end of each year for the next four years?

(Multiple Choice)
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Your firm needs to invest in a new delivery truck. The life expectancy of the delivery truck is five years. You can purchase a new delivery truck for an upfront cost of $240,000, or you can lease a truck from the manufacturer for five years for a monthly lease payment of $4800 (paid at the end of each month). Your firm can borrow at 7.80% APR with quarterly compounding. The present value (PV) of the lease payments for the delivery truck is closest to ________.

(Multiple Choice)
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How do we handle a situation when both compounding period and cash flow interval are given to us but both are less than a year and not equal to each other?

(Essay)
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Five years ago you took out a 30-year mortgage with an APR of 6.20% for $206,000. If you were to refinance the mortgage today for 20 years at an APR of 3.95%, how much would you save in total interest expense?

(Multiple Choice)
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A pottery factory purchases a continuous belt conveyor kiln for $68,000. A 6.3% APR loan with monthly payments is taken out to purchase the kiln. If the monthly payments are $765.22, over what term is this loan being paid?

(Multiple Choice)
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Use the table for the question(s) below. Suppose the term structure of interest rates is shown below: Use the table for the question(s) below. Suppose the term structure of interest rates is shown below:    -After examining the yield curve, what predictions do you have about interest rates in the future? About future economic growth and the overall state of the economy? -After examining the yield curve, what predictions do you have about interest rates in the future? About future economic growth and the overall state of the economy?

(Essay)
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A $52,000 loan is taken out on a boat with the terms 3% APR for 36 months. How much are the monthly payments on this loan?

(Multiple Choice)
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A bank lends some money to a business. The business will pay the bank a single payment of $176,000 in ten years' time. How much greater is the present value (PV) of this payment if the interest rate is 9% rather than 8%?

(Multiple Choice)
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Your firm needs to invest in a new delivery truck. The life expectancy of the delivery truck is five years. You can purchase a new delivery truck for an upfront cost of $350,000, or you can lease a truck from the manufacturer for five years for a monthly lease payment of $7000 (paid at the end of each month). Your firm can borrow at 9.00% APR with quarterly compounding. The effective annual rate on your firm's borrowings is closest to ________.

(Multiple Choice)
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You are purchasing a new home and need to borrow $325,000 from a mortgage lender. The mortgage lender quotes you a rate of 6.5% APR for a 30-year fixed rate mortgage (with payments made at the end of each month). The mortgage lender also tells you that if you are willing to pay one point, they can offer you a lower rate of 6.25% APR for a 30-year fixed rate mortgage. One point is equal to 1% of the loan value. So if you take the lower rate and pay the points, you will need to borrow an additional $3,250 to cover points you are paying the lender. Assuming that you do not intend to prepay your mortgage (pay off your mortgage early), are you better off paying the one point and borrowing at 6.25% APR or just taking out the loan at 6.5% without any points?

(Essay)
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