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Question 34  implicit interest rate in wholesale credit

A wholesale glass importer offers credit to its customers. Customers are given 30 days to pay for their goods, but if they pay within 5 days they will get a 1% discount.

What is the effective interest rate implicit in the discount being offered? Assume 365 days in a year and that all customers pay on either the 5th day or the 30th day. All rates given below are effective annual rates.



Question 49  inflation, real and nominal returns and cash flows, APR, effective rate

In Australia, nominal yields on semi-annual coupon paying Government Bonds with 2 years until maturity are currently 2.83% pa.

The inflation rate is currently 2.2% pa, given as an APR compounding per quarter. The inflation rate is not expected to change over the next 2 years.

What is the real yield on these bonds, given as an APR compounding every 6 months?



Question 70  payout policy

Due to floods overseas, there is a cut in the supply of the mineral iron ore and its price increases dramatically. An Australian iron ore mining company therefore expects a large but temporary increase in its profit and cash flows. The mining company does not have any positive NPV projects to begin, so what should it do? Select the most correct answer.



Question 294  short selling, portfolio weights

Which of the following statements about short-selling is NOT true?



Question 415  income and capital returns, real estate, no explanation

You just bought a residential apartment as an investment property for $500,000.

You intend to rent it out to tenants. They are ready to move in, they would just like to know how much the monthly rental payments will be, then they will sign a twelve-month lease.

You require a total return of 8% pa and a rental yield of 5% pa.

What would the monthly paid-in-advance rental payments have to be this year to receive that 5% annual rental yield?

Also, if monthly rental payments can be increased each year when a new lease agreement is signed, by how much must you increase rents per year to realise the 8% pa total return on the property?

Ignore all taxes and the costs of renting such as maintenance costs, real estate agent fees, utilities and so on. Assume that there will be no periods of vacancy and that tenants will promptly pay the rental prices you charge.

Note that the first rental payment will be received at t=0. The first lease agreement specifies the first 12 equal payments from t=0 to 11. The next lease agreement can have a rental increase, so the next twelve equal payments from t=12 to 23 can be higher than previously, and so on forever.



Question 563  correlation

What is the correlation of a variable X with itself?

The corr(X, X) or ##\rho_{X,X}## equals:



Question 678  option, option profit, no explanation

Which of the below formulas gives the profit ##(\pi)## from being short a put option? Let the underlying asset price at maturity be ##S_T##, the exercise price be ##X_T## and the option price be ##f_{LP,0}##. Note that ##S_T##, ##X_T## and ##f_{LP,0}## are all positive numbers.



Question 738  financial statement, balance sheet, income statement

Where can a private firm's market value of equity be found? It can be sourced from the company's:



Question 847  monetary policy, fiscal policy

Below is the Australian federal government’s budget balance as a percent of GDP. Note that the columns to the right of the vertical black line were a forecast at the time. The x-axis shows financial years, so for example the 06/07 financial year represents the time period from 1 July 2006 to 30 June 2007.

Graph

Comparing the 2008/09 financial year to the previous one, the Australian federal government implemented:



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}###