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When you pay off the principal and all of the interest at one time at the maturity date of the loan, we call this type of loan a(n):
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A. amortized loan.
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B. interest-only loan.
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C. discount loan.
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D. compound loan.
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The furniture store offers you no-money-down on a new set of living room furniture. Further, you may pay for the furniture in three equal annual end-of-the-year payments of $1,000 each with the first payment to be made one year from today. If the discount rate is 6%, what is the present value of the furniture payments?
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A. $3,183.60
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B. $3,000
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C. $2,833.39
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D. $2,673.01
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Your parents have an investment portfolio of $400,000, and they wish to take out cash flows of $50,000 per year as an ordinary annuity. How long will their portfolio last if the portfolio is invested at an annual rate of 4.50%? Use a calculator to determine your answer.
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A. 8 years
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B. 9.10 years
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C. 9.60 years
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D. 10.14 years
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What is the present value of a lottery paid as an annuity due for 20 years if the cash flows are $250,000 per year and the appropriate discount rate is 7.50%?
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A. $5,000,000.00
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B. $3,186,045.39
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C. $2,739,769.55
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D. $2,548,622.84
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What is the present value of a stream of annual end-of-the-year annuity cash flows if the discount rate is 0%, and the cash flows of $50 last for 20 years?
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A. Less than $1,000
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B. Exactly $1,000
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C. More than $1,000
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D. This question cannot be answered because we have an interest rate of 0%.
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If you borrow $100,000 at an annual rate of 8% for a 10-year period and repay with 10 equal annual end-of-the-year payments of $14,902.95, then you have just repaid what type of loan?
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A. Amortized loan
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B. Interest-only loan
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C. Discount loan
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D. Compound loan
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What is the future value in Year 12 of an ordinary annuity cash flow of $6,000 per year at an interest rate of 4% per year?
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A. $90,154.83
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B. $93,761.02
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C. $28,675.97
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D. $32,117.08
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Your firm intends to finance the purchase of a new construction crane. The cost is $1,500,000. How large is the payment at the end of Year 10 if the crane is financed at a rate of 8.50% as a discount loan?
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A. $228,611.56
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B. $127,500
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C. $3,391,475.16
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D. There is not enough information to answer this question.
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You just won the Publisher's Clearing House Sweepstakes and the right to 20 after-tax ordinary annuity cash flows of $163,291.18. Assuming a discount rate of 7.50%, what is the present value of your lottery winnings? Use a calculator to determine your answer.
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A. $3,265,823.60
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B. $1,789,520.81
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C. $1,664,670.52
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D. There is not enough information to answer this question.
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You currently have $67,000 in an interest-earning account. From this account, you wish to make 20 year-end payments of $5,000 each. What annual rate of return must you make on this account to meet your objective?
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A. 4.16%
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B. 5.03%
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C. 6.42%
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D. 7.32%
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A/An __________ is a series of equal end-of-the-period cash flows.
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A. annuity
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B. annuity due
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C. perpetuity due
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D. None of the above
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Which is greater, the present value of a $1,000 five-year ordinary annuity discounted at 10%, or the present value of a $1,000 five-year annuity due discounted at 10%?
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A. The ordinary annuity is worth more with a present value of $3,790.79.
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B. The annuity due is worth more with a present value of $4,169.87.
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C. The ordinary annuity is worth more with a present value of $4,169.87.
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D. The annuity due is worth more with a present value of $4,586.85.
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Your firm intends to finance the purchase of a new construction crane. The cost is $1,500,000. What is the size of the first payment if the crane is financed with an interest-only loan at an annual rate of 8.50%?
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A. $228,611.56
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B. $127,500
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C. $3,391,475.16
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D. There is not enough information to answer this question.
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If you borrow $50,000 at an annual interest rate of 12% for six years, what is the annual payment (prior to maturity) on a discount loan?
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A. $0
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B. $6,000
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C. $8,333.33
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D. $12,161.29
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If you borrow $100,000 at an annual rate of 8% for a 10-year period and repay the total amount of principal and interest due of $215,892.50 at the end of 10 years, what type of loan did you have?
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A. Amortized loan
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B. Interest-only loan
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C. Discount loan
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D. Compound loan
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Your department at work places $10,000 every year-end into an account earning 5%. The money is used when the corporate office fails to fully finance your profitable projects. The money has not been touched since a deposit was made exactly five years ago. If the most recent deposit was made today, how much money is currently in the account?
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A. $55,256.31
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B. $60,000
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C. $65,256.31
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D. $68,019.13
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Randy W. recently won the Western States Lottery of $6,500,000. The lottery pays either a total of twenty $325,000 payments per year with the first payment today (i.e., an annuity due), or $3,500,000 today. At what interest rate would Randy be financially indifferent between these two payout choices?
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A. 5.37%
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B. 7.36%
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C. 7.76%
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D. 8.00%
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What type of loan makes interest payments throughout the life of the loan and then pays the principal and final interest payment at the maturity date?
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A. Amortized loan
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B. Interest-only loan
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C. Discount loan
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D. Compound loan
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An annuity is a series of:
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A. variable cash payments at regular intervals across time.
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B. equal cash payments at regular intervals across time.
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C. variable cash payments at different intervals across time.
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D. equal cash payments at different intervals across time.
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You have saved $47,000 for college and wish to use $15,000 per year. If you use the money as an ordinary annuity and earn 6.15% on your investment, how many years will your annuity last? Use a calculator to determine your answer.
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A. 4.27 years
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B. 3.13 years
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C. 3.59 years
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D. 3.36 years
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Part 2 of 2 - Lesson 5 Questions
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30.0/ 50.0 Points
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A company selling a bond is __________ money.
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A. borrowing
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B. lending
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C. taking
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D. reinvesting
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Suppose you invest $1,000 today, compounded quarterly, with the annual interest rate of 5%. What is your investment worth in one year?
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A. $1,025.00
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B. $1,500.95
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C. $1,025.27
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D. $1,050.95
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Suppose you invest $2,000 today, compounded monthly, with an annual interest rate of 7.5%. What is your investment worth in one year?
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A. $2,150
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B. $2,152.81
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C. $2,155.27
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D. $2,154.77
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The real rate is 2.5% and inflation is 3.25%. What is the approximate nominal rate?
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A. 5.75%
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B. 5.25%
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C. 3.25%
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D. 1.25%
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The phrase "price to rent money" is sometimes used to refer to:
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A. historical prices.
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B. compound rates.
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C. discount rates.
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D. interest rates.
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Which of the following statements is true if you increase your monthly payment above the required loan payment?
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A. The extra portion of the payment does not go to the principal.
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B. You can significantly increase the number of payments needed to pay off the loan.
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C. The extra portion of the payment increases the principal.
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D. You can significantly reduce the number of payments needed to pay off the loan.
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Assume that Don is 45 years old and has 20 years for saving until he retires. He expects an APR of 8.5% on his investments. How much does he need to save if he puts money away annually in equal end-of-the-year amounts to achieve a future value of $1 million in 20 years’ time?
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A. $20,570.00
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B. $20,670.97
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C. $20,770.90
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D. $20,800.00
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James is a rational investor wishing to maximize his return over a 20-year period. The current yield curve is inverted with one-year rates at 5% and 20-year rates at 3.5%. James will invest in the lower-rate 20-year bonds if:
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A. he thinks rates will fall in the future and locking in long-term rates today may provide the highest long-run average return.
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B. he thinks rates will rise in the future and locking in long-term rates today may provide the lowest long-run average return.
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C. he thinks rates will remain flat at 5% in the future and locking in long-term rates today will prevent him from appearing greedy to those without this investment opportunity.
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D. James has no idea what to do and should just skip this question.
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What is the EAR if the APR is 10.52% and compounding is daily?
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A. Slightly above 10.09%
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B. Slightly below 11.09%
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C. Slightly above 11.09%
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D. Over 11.25%
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Which of the following statements is true?
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A. On many calculators the TVM key for interest is I/Y; this is Interest per Year, or the EAR rate.
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B. On many calculators the TVM key for interest is Y/I; this is Interest per Year, or the APR rate.
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C. On many calculators the TVM key for interest is I/Y; this is Interest per Year, or the APR rate.
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D. On many calculators the TVM key for a period is I/Y.
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The __________ compensates the investor for the additional risk that the loan will not be repaid in full.
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A. default premium
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B. inflation premium
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C. real rate
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D. interest rate
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Suppose you postpone consumption so that by investing at 8% you will have an extra $800 to spend in one year. Suppose that inflation is 4% during this time. What is the approximate real increase in your purchasing power?
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A. $800
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B. $600
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C. $400
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D. $200
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As applied to mortgage loans, which of the following statements is FALSE?
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A. Advertised rates are annual percentage rates.
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B. A spreadsheet uses the periodic interest rate, not the annual percentage rate.
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C. By increasing the number of payments per year you increase your effective borrowing rate.
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D. A mortgage problem is unlike a future value problem with an annuity.
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We can write the true relationship between the nominal interest rate and the real rate and expected inflation as which of the following?
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A. (1 + r) = (1 + r) × (1 + h*)
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B. r = (1 + r*) × (1 + h) - 1
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C. r* = (1 + r) × (1 + h) -1
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D. r = (1 + r*) × (1 + h) + 1
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You put down 20% on a home with a purchase price of $300,000. The down payment is thus $60,000, leaving a balance owed of $240,000. The bank will loan you the remaining balance at 4.28% APR. You will make annual payments with a 20-year payment schedule. What is the annual annuity payment under this schedule?
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A. $18,100.23
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B. $22,625.29
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C. $12,000.00
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D. $33,785.23
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Assume you just bought a new home and now have a mortgage on the home. The amount of the principal is $150,000, the loan is at 5% APR, and the monthly payments are spread out over 30 years. What is the loan payment? Use a calculator to determine your answer.
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A. $798.95
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B. $805.23
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C. $850.32
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D. $903.47
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What is the EAR if the APR is 5% and compounding is quarterly?
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A. Slightly above 5.09%
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B. Slightly below 5.09%
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C. Under 5%
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D. Over 5.25%
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When interest rates are stated or given for loan repayments, it is assumed that they are __________ unless specifically stated otherwise.
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A. daily rates
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B. annual percentage rates
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C. effective annual rates
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D. APYs
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The two major components of the interest rate that cause rates to vary across different investment opportunities or loans are:
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A. the default premium and the bankruptcy premium.
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B. the liquidity premium and the maturity premium.
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C. the default premium and the maturity premium.
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D. the inflation premium and the maturity premium.
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Suppose you deposit money in a certificate of deposit (CD) at a bank. Which of the following statements is true?
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A. The bank is borrowing money from you without a promise to repay that money with interest.
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B. The bank is lending money to you with a promise to repay that money with interest.
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C. The bank is technically renting money from you with a promise to repay that money with interest.
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D. The bank is lending money to you, but not borrowing money from you.
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