Fight Finance

Question 12  bond pricing

For a price of $100, Carol will sell you a 5 year bond paying semi-annual coupons of 16% pa. The face value of the bond is $100. Other bonds with similar risk, maturity and coupon characteristics trade at a yield of 12% pa.

Would you like to her bond or politely ?

Question 182  NPV, IRR, pay back period

A project's NPV is positive. Select the most correct statement:

(a) The project should be rejected.

(b) The project's IRR is more than its required return.

(c) The project's IRR is less than its required return.

(d) The project's IRR is equal to its required return.

(e) The project will never pay itself off, assuming that the discount rate is positive.

Question 230  bond pricing, capital raising

A firm wishes to raise $10 million now. They will issue 6% pa semi-annual coupon bonds that will mature in 8 years and have a face value of $1,000 each. Bond yields are 10% pa, given as an APR compounding every 6 months, and the yield curve is flat.

How many bonds should the firm issue? All numbers are rounded up.

(a) 9,023 bonds

(b) 10,000 bonds

(c) 11,485 bonds

(d) 12,713 bonds

(e) 12,768 bonds

Question 279  diversification

Do you think that the following statement is or ? “Buying a single company stock usually provides a safer return than a stock mutual fund.”

Question 298  interest only loan

A prospective home buyer can afford to pay $2,000 per month in mortgage loan repayments. The central bank recently lowered its policy rate by 0.25%, and residential home lenders cut their mortgage loan rates from 4.74% to 4.49%.

How much more can the prospective home buyer borrow now that interest rates are 4.49% rather than 4.74%? Give your answer as a proportional increase over the original amount he could borrow (##V_\text{before}##), so:

###\text{Proportional increase} = \frac{V_\text{after}-V_\text{before}}{V_\text{before}} ###

Assume that:

• Interest rates are expected to be constant over the life of the loan.

• Loans are interest-only and have a life of 30 years.

• Mortgage loan payments are made every month in arrears and all interest rates are given as annualised percentage rates compounding per month.

(a) 0.055679

(b) 0.029631

(c) 0.029547

(d) 0.006245

(e) 0.0025

Question 752  IRR, NPV

All other things remaining equal, a project is worse if its:

(a) IRR is lower.

(b) Discount rate is lower.

(c) NPV is higher.

(d) Positive cash flows occur sooner.

(e) Negative cash flows occur later.

Question 808  Markowitz portfolio theory, portfolio return

A graph of assets’ expected returns ##(\mu)## versus standard deviations ##(\sigma)## is given in the below diagram.

Each letter corresponds to a separate coloured area. The portfolios at the boundary of the areas, on the black lines, are excluded from each area. Assume that all assets represented in this graph are fairly priced, and that all risky assets can be short-sold.

Which of the following statements about this graph and Markowitz portfolio theory is NOT correct?

(a) Area A contains ideal portfolios but unfortunately these portfolios are unattainable.

(b) Area B portfolios are only attainable if investors can borrow at the risk free rate, meaning that they can risklessly short sell government bonds and only pay the risk free rate to do so.

(c) Area C contains all individual risky assets and portfolios of those risky assets.

(d) Area D portfolios are only attainable if investors can borrow at the risk free rate, meaning that they can risklessly short sell government bonds and only pay the risk free rate to do so, similarly to Area B.

(e) Area E contains unattainable portfolios.

Question 824  option, no explanation

A put option written on a risky non-dividend paying stock will mature in one month. As is normal, assume that the option's exercise price is non-zero and positive ##(K>0)## and the stock has limited liability ##(S>0)##.

Which of the following statements is NOT correct? The put option's:

(a) Price must be greater than zero (p>0).

(b) Price can be greater than its exercise price (p>K).

(c) Price can be greater than the underlying asset's price (p>S).

(d) Exercise price can be greater than the underlying asset's price (K>S).

(e) Profit must be less than the payoff at maturity from the long trader’s perspective.

Question 849  credit card, APR, no explanation

You just spent $1,000 on your credit card. The interest rate is 24% pa compounding monthly. Assume that your credit card account has no fees and no minimum monthly repayment.

If you can't make any interest or principal payments on your credit card debt over the next year, how much will you owe one year from now?

(a) $13,214.7887

(b) $1,268.2418

(c) $1,240

(d) $806.4516

(e) $788.4932

Question 979  balance of payments, current account, no explanation

This question is about the Balance of Payments.

Assume that all foreign and domestic assets are either debt which makes interest income or equity which makes dividend income, and vice versa for liabilities which cost interest and dividend payments, respectively.

Which of the following statements is NOT correct?

(a) TradeSurplus = Imports - Exports

(b) NetIncome = DividendsReceived + InterestReceived - DividendsPaid - InterestPaid

(c) CurrentAccountSurplus = NetIncome + TradeSurplus

(d) CurrentAccountSurplus = -1 × NetCapitalInflow = NetCapitalOutflow