Exam 4: Future Value, Present Value, and Interest Rates

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The "coupon rate" is:

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Suppose Mary receives an $8,000 loan from First National Bank.Mary repays $8,480 to First National Bank at the end of one year.Assuming the simple calculation of interest, the interest rate on Mary's loan was:

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Calculate which has a higher present value: an annual payment of $100 received over 3 years or an annual payment of $50 received over 7 years.In both cases the interest rate is 7% (or 0.07).

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Suppose that you have a winning lottery ticket for $100,000.The State of California doesn't pay this amount up front - this is the amount you will receive over time.The State offers you two options.The first pays you $80,000 up front and that will be the entire amount.The second pays you winnings over a three year period.The last option pays you a large payment today with small payments in the future.The payment options are detailed in the table below:

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If 10% is the annual rate, considering compounding, the monthly rate is:

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In reading the national business news, you hear that mortgage rates increased by 50 basis points.If mortgage rates were initially at 6.5%, what are they after this increase?

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The present value and the interest rate have:

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Credit:

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Suppose a two-year coupon bond has payments of $40 and a face value of $800.The interest rate is 8%.Compute the present value of the coupon payments and the principal payment of the bond.What is the price of this bond?

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In the data, we observe that countries with high inflation rates tend to have high nominal interest rates.What does this imply, if anything, about real interest rates in countries with very high inflation rates?

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We should expect a country that experiences volatile inflation to also have:

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Suppose Tom receives a one-year loan from ABC Bank for $5,000.00.At the end of the year, Tom repays $5,400.00 to ABC Bank.Assuming the simple calculation of interest, the interest rate on Tom's loan was:

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Suppose you negotiate a one-year loan with a principal of $1000 and the nominal interest rate is currently 7%.You expect the inflation rate to be 3% over the next year.When you repay the principal plus interest at the end of the year, the actual inflation rate is 2.5%.Compute the ex ante and ex post real interest rate.Who benefits from this unexpected decrease in inflation? Who loses?

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A lender is promised a $100 payment (including interest) one year from today.If the lender has a 6% opportunity cost of money, he/she should be willing to accept what amount today?

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Explain why an investor cannot simply compare the size of promised payments from different investments, even if the interest rates and other risk factors are the same.

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Which of the following statements is most correct?

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The interest rate that equates the price of a bond with the present value of its payments:

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A credit card that charges a monthly interest rate of 1.5% has an effective annual interest rate of:

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Historically, many cultural groups have outlawed usury, or the practice of levying interest on loans.Some groups oppose usury because it exacerbates problems of income inequality (as wealthier individuals can afford to lend to poorer individuals), while others claim investment and loans should be made charitably.Evaluate these arguments against usury based on your knowledge of present value.Do such prohibitions make sense?

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A monthly growth rate of 0.6% is an annual growth rate of:

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