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.

Below are 4 option graphs. Note that the y-axis is payoff at maturity (T). What options do they depict? List them in the order that they are numbered

**Question 244** CAPM, SML, NPV, risk

Examine the following graph which shows stocks' betas ##(\beta)## and expected returns ##(\mu)##:

Assume that the CAPM holds and that future expectations of stocks' returns and betas are correctly measured. Which statement is **NOT** correct?

Find the cash flow from assets (CFFA) of the following project.

One Year Mining Project Data | ||

Project life | 1 year | |

Initial investment in building mine and equipment | $9m | |

Depreciation of mine and equipment over the year | $8m | |

Kilograms of gold mined at end of year | 1,000 | |

Sale price per kilogram | $0.05m | |

Variable cost per kilogram | $0.03m | |

Before-tax cost of closing mine at end of year | $4m | |

Tax rate | 30% | |

Note 1: Due to the project, the firm also anticipates finding some rare diamonds which will give before-tax revenues of $1m at the end of the year.

Note 2: The land that will be mined actually has thermal springs and a family of koalas that could be sold to an eco-tourist resort for an after-tax amount of $3m right now. However, if the mine goes ahead then this natural beauty will be destroyed.

Note 3: The mining equipment will have a book value of $1m at the end of the year for tax purposes. However, the equipment is expected to fetch $2.5m when it is sold.

Find the project's CFFA at time zero and one. Answers are given in millions of dollars ($m), with the first cash flow at time zero, and the second at time one.

What is the covariance of a variable X with a constant C?

The cov(X, C) or ##\sigma_{X,C}## equals:

**Question 691** continuously compounding rate, effective rate, continuously compounding rate conversion, no explanation

A bank quotes an interest rate of **6**% pa with quarterly compounding. Note that another way of stating this rate is that it is an annual percentage rate (APR) compounding discretely every 3 months.

Which of the following statements about this rate is **NOT** correct? All percentages are given to 6 decimal places. The equivalent:

**Question 721** mean and median returns, return distribution, arithmetic and geometric averages, continuously compounding rate

Fred owns some Commonwealth Bank (CBA) shares. He has calculated CBA’s monthly returns for each month in the past 20 years using this formula:

###r_\text{t monthly}=\ln \left( \dfrac{P_t}{P_{t-1}} \right)###He then took the arithmetic average and found it to be **1**% per month using this formula:

He also found the standard deviation of these monthly returns which was **5**% per month:

Which of the below statements about Fred’s CBA shares is **NOT** correct? Assume that the past historical average return is the true population average of future expected returns.

**Question 801** negative gearing, leverage, capital structure, no explanation

The following steps set out the process of ‘negative gearing’ an investment property in Australia. Which of these steps or statements is **NOT** correct? To successfully achieve negative gearing on an investment property:

What derivative position are you exposed to if you have the **obligation** to **sell** the underlying asset at maturity, so you will definitely be forced to sell the underlying asset?

**Question 876** foreign exchange rate, forward foreign exchange rate, cross currency interest rate parity

Suppose the yield curve in the USA and Germany is flat and the:

- USD federal funds rate at the Federal Reserve is
**1**% pa; - EUR deposit facility at the European Central Bank is
**-0.4**% pa (note the negative sign); - Spot EUR exchange rate is
**1**USD per EUR; - One year forward EUR exchange rate is
**1.011**USD per EUR.

You suspect that there’s an arbitrage opportunity. Which one of the following statements about the potential arbitrage opportunity is **NOT** correct?