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Question 137  NPV, Annuity

The following cash flows are expected:

  • 10 yearly payments of $60, with the first payment in 3 years from now (first payment at t=3 and last at t=12).
  • 1 payment of $400 in 5 years and 6 months (t=5.5) from now.

What is the NPV of the cash flows if the discount rate is 10% given as an effective annual rate?



Question 361  CFFA

Over the next year, the management of an unlevered company plans to:

  • Make $5m in sales, $1.9m in net income and $2m in equity free cash flow (EFCF).
  • Pay dividends of $1m.
  • Complete a $1.3m share buy-back.

Assume that:

  • All amounts are received and paid at the end of the year so you can ignore the time value of money.
  • The firm has sufficient retained profits to legally pay the dividend and complete the buy back.
  • The firm plans to run a very tight ship, with no excess cash above operating requirements currently or over the next year.

How much new equity financing will the company need? In other words, what is the value of new shares that will need to be issued?



Question 382  Merton model of corporate debt, real option, option

In the Merton model of corporate debt, buying a levered company's shares is equivalent to:



Question 534  NPV, no explanation

You have $100,000 in the bank. The bank pays interest at 10% pa, given as an effective annual rate.

You wish to consume half as much now (t=0) as in one year (t=1) and have nothing left in the bank at the end.

How much can you consume at time zero and one? The answer choices are given in the same order.



Question 566  capital structure, capital raising, rights issue, on market repurchase, dividend, stock split, bonus issue

A company's share price fell by 20% and its number of shares rose by 25%. Assume that there are no taxes, no signalling effects and no transaction costs.

Which one of the following corporate events may have happened?



Question 597  future, continuously compounding rate

A stock is expected to pay a dividend of $5 per share in 1 month and $5 again in 7 months.

The stock price is $100, and the risk-free rate of interest is 10% per annum with continuous compounding. The yield curve is flat. Assume that investors are risk-neutral.

An investor has just taken a short position in a one year forward contract on the stock.

Find the forward price ##(F_1)## and value of the contract ##(V_0)## initially. Also find the value of the short futures contract in 6 months ##(V_\text{0.5, SF})## if the stock price fell to $90.



Question 694  utility

Which of the below statements about utility is NOT generally accepted by economists? Most people are thought to:



Question 758  time calculation, fully amortising loan, no explanation

Two years ago you entered into a fully amortising home loan with a principal of $1,000,000, an interest rate of 6% pa compounding monthly with a term of 25 years.

Then interest rates suddenly fall to 4.5% pa (t=0), but you continue to pay the same monthly home loan payments as you did before. How long will it now take to pay off your home loan? Measure the time taken to pay off the home loan from the current time which is 2 years after the home loan was first entered into.

Assume that the lower interest rate was given to you immediately after the loan repayment at the end of year 2, which was the 24th payment since the loan was granted. Also assume that rates were and are expected to remain constant.



Question 806  stock split, no explanation

A firm conducts a two-for-one stock split. Which of the following consequences would NOT be expected?



Question 924  foreign exchange rate, forward foreign exchange rate, arbitrage, forward interest rate, no explanation

Suppose that the yield curve in the United States of America and Australia is flat and that the current:

  • USD federal funds rate is 1% pa;
  • AUD cash rate is 1.5% pa;
  • Spot AUD exchange rate is 1 USD per AUD;
  • One year forward AUD exchange rate is 0.97 USD per AUD.

You suspect that there’s an arbitrage opportunity.

Which one of the following statements about the potential arbitrage opportunity is NOT correct?