Jan asks you for a loan. He wants $100 now and offers to pay you back $120 in 1 year. You can borrow and lend from the bank at an interest rate of 10% pa, given as an effective annual rate.

Ignore credit risk. Remember:

### V_0 = \frac{V_t}{(1+r_\text{eff})^t} ###

A company has:

- 100 million ordinary shares outstanding which are trading at a price of $5 each. Market analysts estimated that the company's ordinary stock has a beta of 1.5. The risk-free rate is 5% and the market return is 10%.
- 1 million preferred shares which have a face (or par) value of $100 and pay a constant annual dividend of 9% of par. The next dividend will be paid in one year. Assume that all preference dividends will be paid when promised. They currently trade at a price of $90 each.
- Debentures that have a total face value of $200 million and a yield to maturity of 6% per annum. They are publicly traded and their market price is equal to 110% of their face value.

The corporate tax rate is 30%. All returns and yields are given as effective annual rates.

What is the company's after-tax Weighted Average Cost of Capital (WACC)? Assume a classical tax system.

Suppose that the US government recently announced that subsidies for fresh milk producers will be gradually phased out over the next year. Newspapers say that there are expectations of a 40% increase in the spot price of fresh milk over the next year.

Option prices on fresh milk trading on the Chicago Mercantile Exchange (CME) reflect expectations of this 40% increase in spot prices over the next year. Similarly to the rest of the market, you believe that prices will rise by 40% over the next year.

What option trades are likely to be profitable, or to be more specific, result in a positive Net Present Value (NPV)?

Assume that:

- Only the spot price is expected to increase and there is no change in expected volatility or other variables that affect option prices.
- No taxes, transaction costs, information asymmetry, bid-ask spreads or other market frictions.

Which of the following statements about the weighted average cost of capital (WACC) is **NOT** correct?

Which one of the following is **NOT** usually considered an 'investable' asset for long-term wealth creation?

**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 472** quick ratio, accounting ratio

A firm has current assets totaling $**1.5**b of which cash is $**0.25**b and inventories is $**0.5**b. Current liabilities total $**2**b of which accounts payable is $**1**b.

What is the firm's quick ratio, also known as the acid test ratio?

**Question 542** price gains and returns over time, IRR, NPV, income and capital returns, effective return

For an asset price to **double** every **10** years, what must be the expected future capital return, given as an effective annual rate?

**Question 550** fully amortising loan, interest only loan, APR, no explanation

Many Australian home loans that are interest-only actually require payments to be made on a fully amortising basis after a number of years.

You decide to borrow $**600,000** from the bank at an interest rate of **4.25**% pa for 25 years. The payments will be **interest-only** for the first **10** years (t=0 to 10 years), then they will have to be paid on a **fully amortising** basis for the last **15** years (t=10 to 25 years).

Assuming that interest rates will remain constant, what will be your monthly payments over the first 10 years from now, and then the next 15 years after that? The answer options are given in the same order.

**Question 732** real and nominal returns and cash flows, inflation, income and capital returns

An investor bought a bond for $**100** (at t=0) and one year later it paid its annual coupon of $**1** (at t=1). Just after the coupon was paid, the bond price was $**100.50** (at t=1). Inflation over the past year (from t=0 to t=1) was **3**% pa, given as an effective annual rate.

Which of the following statements is **NOT** correct? The bond investment produced a: