Exam 8: Mathematics of Finance: An Introduction to Basic Concepts and Calculations

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When a company discounts a commercial bill,this means the company:

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A 90-day promissory note with a face value of $500 000 is issued at a yield of 7.789% per annum.Calculate its price.

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If a company sells (discounts)a bank bill with a face value of $500 000,a term to maturity of 120 days,and a yield of 8.45% per annum,how much will the company raise on the issue? (Ignore transaction fees.)

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When a holder of a commercial bill sells it before its maturity date the return to the holder is called the holding period return.

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The amount that an investor puts up initially for a commercial bill is called the principal.

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What is the present value of the following cash flow stream,discounted at 6.5% per annum,compounded monthly? Year 1: $1000; Year 2: $1500; Year 3: $2000; Year 4: $2500

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If the interest rate is 7.4% per annum,compounding quarterly,what is the future value of a six-year ordinary annuity with quarterly payments of $4000?

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If you invest $13 500 for 18 months at 6.9% per annum simple interest,what is the value of your investment at the end of the 18 months?

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The present value of an annuity of $11 000,received at the end of every year for ten years,where the required rate of return is 5.6% per annum,compounded annually,is:

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If you receive $100 000 back as principal and interest for an investment of $92 368 that you made six months earlier,what simple rate of interest has been earned on your investment?

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If the effective annual interest rate is known to be 19.4% on a debt that has quarterly payments,what is the annual percentage rate?

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Distinguish between simple interest and compound interest.

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You take out a loan to buy a property and agree to pay $53 000 one year from now,another $53 000 two years from now,and a final payment of $53 000 three years from now.If your interest rate is fixed at 8.5% per annum,compounded annually,calculate the value of the loan today.

(Multiple Choice)
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If an investor purchases a commercial bill with a face value of $100 000 with a yield of 7.00% per annum and then,in 60 days,sells it at a yield of 7.50% per annum,the investor will make a capital gain on the sale of the bill.

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If you borrow $20 000 for four years at an interest rate of 7.23% per annum,with the interest compounding quarterly,how much will you have to pay at the end of the period?

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If a company sells (discounts)a bank bill with a face value of $100 000,a term to maturity of 90 days,and a yield of 7.23% per annum,how much will the company raise on the issue? (Ignore transaction fees.)

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What is the future value in four-and-a-half years of $5000 invested today at 9.50% compounded semi-annually?

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If a commercial bill is sold into a market in which its yield works out higher than the yield that prevailed at the original purchase date,a capital gain would have been made.

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The principal of a six-month bank deposit is the amount you receive at the end of its term.

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If interest rates are 8.21% per annum,compounded annually,the present value of $31 000 received at the end of three years is:

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