Exam 5: Interest Rates

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What is the real interest rate given a nominal rate of 8.9% and an inflation rate of 1.9%?

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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 implied assumption about interest rates when using the built-in functions of a financial calculator to calculate the present value (PV)of an annuity? -What is the implied assumption about interest rates when using the built-in functions of a financial calculator to calculate the present value (PV)of an annuity?

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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 net present value (NPV)of an investment that costs $4320 and pays $1600 certain at the end of one, three, and five years is closest to ________. The net present value (NPV)of an investment that costs $4320 and pays $1600 certain at the end of one, three, and five years is closest to ________.

(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?

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You are purchasing a new home and need to borrow $260,000 from a mortgage lender. The mortgage lender quotes you a rate of 6.80% APR for a 30-year fixed rate mortgage. The mortgage lender also tells you that if you are willing to pay two points, they can offer you a lower rate of 6.50% 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 $5200 to cover points you are paying the lender. Assuming you pay the points and borrow from the mortgage lender at 6.50%, then your monthly mortgage payment (with payments made at the end of the month)will be closest to ________.

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What care, if any, should be taken when cash flows occur in periodicities that are shorter than a year (e.g., quarterly or monthly cash flows)?

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A 10% APR with quarterly compounding is equivalent to an EAR of ________.

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Two years ago you purchased a new SUV. You financed your SUV for 60 months (with payments made at the end of the month)with a loan at 5.95% APR. Your monthly payments are $386.19 and you have just made your 24th monthly payment on your SUV. The amount of your original loan is closest to ________.

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Everything else remaining same, under what situation will APR and EAR be equal?

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Inflation is calculated as the rate of change in the _______.

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Which of the following statements is FALSE?

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In an effort to maintain price stability, it is expected that the European Central Bank will raise interest rates in the future. Which of the following is the most likely effect of such an action on short-term and long-term interest rates in Europe?

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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?

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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?

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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 implied assumption about interest rates when the equation to calculate the present value (PV)of perpetuity is used? -What is the implied assumption about interest rates when the equation to calculate the present value (PV)of perpetuity is used?

(Essay)
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Joseph buys a Hummer for $59,000, financing it with a five-year 7.60% APR loan paid monthly. He decides to pay an extra $50 per month in addition to his monthly payments. Approximately how long will he take to pay off the loan under these conditions?

(Multiple Choice)
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Liam had an extension built onto his home. He financed it for 48 months with a loan at 5.00% APR. His monthly payments were $770. How much was the loan amount for this extension?

(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?

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Which of the following statements is FALSE about interest rates?

(Multiple Choice)
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Can the nominal interest rate ever be negative? Can the real interest rate ever be negative? Explain.

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