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Question 126  IRR

What is the Internal Rate of Return (IRR) of the project detailed in the table below?

Assume that the cash flows shown in the table are paid all at once at the given point in time. All answers are given as effective annual rates.

Project Cash Flows
Time (yrs) Cash flow ($)
0 -100
1 0
2 121
 



Question 236  diversification, correlation, risk

Diversification in a portfolio of two assets works best when the correlation between their returns is:



Question 252  NPV

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

You wish to consume an equal amount now (t=0), in one year (t=1) and in two years (t=2), and still have $50,000 in the bank after that (t=2).

How much can you consume at each time?



Question 314  foreign exchange rate, American and European terms

If the USD appreciates against the AUD, the American terms quote of the AUD will or ?



Question 336  forward foreign exchange rate, no explanation

The Australian cash rate is expected to be 6% pa while the US federal funds rate is expected to be 4% pa over the next 3 years, both given as effective annual rates. The current exchange rate is 0.80 AUD per USD.

What is the implied 3 year forward foreign exchange rate?



Question 489  NPV, IRR, pay back period, DDM

A firm is considering a business project which costs $11m now and is expected to pay a constant $1m at the end of every year forever.

Assume that the initial $11m cost is funded using the firm's existing cash so no new equity or debt will be raised. The cost of capital is 10% pa.

Which of the following statements about net present value (NPV), internal rate of return (IRR) and payback period is NOT correct?



Question 645  option, no explanation

A trader buys one crude oil European style call option contract on the CME expiring in one year with an exercise price of $44 per barrel for a price of $6.64. The crude oil spot price is $40.33. If the trader doesn’t close out her contract before maturity, then at maturity she will have the:



Question 648  margin call, future

A trader buys a one year futures contract on crude oil. The contract is for the delivery of 1,000 barrels. The current futures price is $38.94 per barrel. The initial margin is $3,410 per contract, and the maintenance margin is $3,100 per contract.

What is the smallest price change that would lead to a margin call for the buyer?



Question 779  mean and median returns, return distribution, arithmetic and geometric averages, continuously compounding rate

Fred owns some BHP shares. He has calculated BHP’s monthly returns for each month in the past 30 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 0.8% per month using this formula:

###\bar{r}_\text{monthly}= \dfrac{ \displaystyle\sum\limits_{t=1}^T{\left( r_\text{t monthly} \right)} }{T} =0.008=0.8\% \text{ per month}###

He also found the standard deviation of these monthly returns which was 15% per month:

###\sigma_\text{monthly} = \dfrac{ \displaystyle\sum\limits_{t=1}^T{\left( \left( r_\text{t monthly} - \bar{r}_\text{monthly} \right)^2 \right)} }{T} =0.15=15\%\text{ per month}###

Assume that the past historical average return is the true population average of future expected returns and the stock's returns calculated above ##(r_\text{t monthly})## are normally distributed. Which of the below statements about Fred’s BHP shares is NOT correct?



Question 983  corporate financial decision theory, DuPont formula, accounting ratio

A company manager is thinking about the firm's book assets-to-equity ratio, also called the 'equity multiplier' in the DuPont formula:

###\text{Equity multiplier} = \dfrac{\text{Total Assets}}{\text{Owners' Equity}}###

What's the name of the decision that the manager is thinking about? In other words, the assets-to-equity ratio is the main subject of what decision?

Note: DuPont formula for analysing book return on equity:

###\begin{aligned} \text{ROE} &= \dfrac{\text{Net Profit}}{\text{Sales}} \times \dfrac{\text{Sales}}{\text{Total Assets}} \times \dfrac{\text{Total Assets}}{\text{Owners' Equity}} \\ &= \text{Net profit margin} \times \text{Total asset turnover} \times \text{Equity multiplier} \\ \end{aligned}###