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Question 61  NPV

In Australia, domestic university students are allowed to buy concession tickets for the bus, train and ferry which sell at a discount of 50% to full-price tickets.

The Australian Government do not allow international university students to buy concession tickets, they have to pay the full price.

Some international students see this as unfair and they are willing to pay for fake university identification cards which have the concession sticker.

What is the most that an international student would be willing to pay for a fake identification card?

Assume that international students:

  • consider buying their fake card on the morning of the first day of university from their neighbour, just before they leave to take the train into university.
  • buy their weekly train tickets on the morning of the first day of each week.
  • ride the train to university and back home again every day seven days per week until summer holidays 40 weeks from now. The concession card only lasts for those 40 weeks. Assume that there are 52 weeks in the year for the purpose of interest rate conversion.
  • a single full-priced one-way train ride costs $5.
  • have a discount rate of 11% pa, given as an effective annual rate.

Approach this question from a purely financial view point, ignoring the illegality, embarrassment and the morality of committing fraud.



Question 88  WACC, CAPM

A firm can issue 3 year annual coupon bonds at a yield of 10% pa and a coupon rate of 8% pa.

The beta of its levered equity is 2. The market's expected return is 10% pa and 3 year government bonds yield 6% pa with a coupon rate of 4% pa.

The market value of equity is $1 million and the market value of debt is $1 million. The corporate tax rate is 30%.

What is the firm's after-tax WACC? Assume a classical tax system.



Question 403  PE ratio, no explanation

Which of the following investable assets is the LEAST suitable for valuation using PE multiples techniques?



Question 447  payout policy, corporate financial decision theory

Payout policy is most closely related to which part of a business?



Question 519  DDM

A stock is just about to pay a dividend of $1 tonight. Future annual dividends are expected to grow by 2% pa. The next dividend of $1 will be paid tonight, and the year after that the dividend will be $1.02 (=1*(1+0.02)^1), and a year later 1.0404 (=1*(1+0.04)^2) and so on forever.

Its required total return is 10% pa. The total required return and growth rate of dividends are given as effective annual rates.

Calculate the current stock price.



Question 748  income and capital returns, DDM, ex dividend date

A stock will pay you a dividend of $2 tonight if you buy it today.

Thereafter the annual dividend is expected to grow by 3% pa, so the next dividend after the $2 one tonight will be $2.06 in one year, then in two years it will be $2.1218 and so on. The stock's required return is 8% pa.

What is the stock price today and what do you expect the stock price to be tomorrow, approximately?



Question 800  leverage, portfolio return, risk, portfolio risk, capital structure, no explanation

Which of the following assets would you expect to have the highest required rate of return? All values are current market values.



Question 881  Nixon Shock, Bretton Woods, foreign exchange rate, foreign exchange system history, no explanation

In the ‘Nixon Shock’ on August 15, 1971, the United States government:



Question 937  CAPM, SML

The market's expected total return is 10% pa and the risk free rate is 5% pa, both given as effective annual rates.

A stock has a beta of 0.7.

What do you think will be the stock's expected return over the next year, given as an effective annual rate?



Question 957  Annuity, NPV

The present value of an annuity of 3 annual payments of $5,000 in arrears (at the end of each year) is $12,434.26 when interest rates are 10% pa compounding annually.

If the same amount of $12,434.26 is put in the bank at the same interest rate of 10% pa compounded annually and the same cash flow of $5,000 is withdrawn at the end of every year, how much money will be in the bank in 3 years, just after that third $5,000 payment is withdrawn?