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BM2102 Introduction to Finance (PRD1 A 2024/25)

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Bond A has a three-year maturity and pays a 5% coupon annually. Bond B has a twenty-year maturity and pays a 7% coupon annually. Both bonds have a principal (or face) value of $1000, and both are issued by the government.

Considering these two bonds, is the following statement true or false?

“If the interest rate rises, both bonds will fall in price,

but their prices could change by different amounts”

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ou want to buy a £20,000 car. Dealer A offers interest-free credit – pay £10,000 now and the rest in one year. Dealer B offers you a £1,000 discount for immediate payment. Dealer C makes the following offer – pay £3,000 now, £10,000 in one year and £10,000 in two years’ time. If the interest rate is 15%p.a., which offers the best deal?
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What is the future value of a cash flow of in years' time if the interest rate is p.a.?

Give your answer to two decimal places.

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Which of the following statements is incorrect? (Assume there is a single interest rate used to price all bonds.)
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A government bond with four-years to maturity has a nominal value of 1,000 and a coupon rate of 5%. The one-year interest rate is 3%, the two-year interest rate is 3%, the four-year interest rate is 4.5% and the four-year rate is 5%. Which of the following is closest to the bond’s yield to maturity?
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VaccinesRUs is a biotech start up. Clinical trials of its product will start next year and if trials are successful, authorisation to market their product will be given for the following year (year 2). Analysts expect VaccinesRUs to start paying dividends in five-years’ time, and the first dividend is expected to be 25p per share. Dividends are predicted to grow at 3% per year. If the discount rate is 8%, what is today’s share price?
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Suppose there are three government bonds as follows:

Bond has a maturity of years and pays an annual coupon of

Bond has a maturity of years and pays an annual coupon of

Bond has a maturity of years and pays an annual coupon of

The

yield curve is flat. As interest rates change the whole curve moves up or down

in parallel (or equivalently, there is a single interest rate that varies

through time)

Which

of the following statements is correct:

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What is the present value of a cash flow of in years’ time if the discount rate is % p.a.? 

Give your answer to two decimal places.

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Which of the following is NOT the role or objective of a firm’s financial manager?
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The one-year interest rate is

p.a., the two-year

interest rate is

p.a., the three-year rate is

p.a and the four-year

interest rate is

p.a.  A three-year

government bond with a nominal value of

pays an annual coupon of

.

What is the market price of the bond? 

Give your answer to two decimal places.

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