A firm is considering a new project of similar risk to the current risk of the firm. This project will expand its existing business. The cash flows of the project have been calculated assuming that there is no interest expense. In other words, the cash flows assume that the project is all-equity financed.
In fact the firm has a target debt-to-equity ratio of 1, so the project will be financed with 50% debt and 50% equity. To find the levered value of the firm's assets, what discount rate should be applied to the project's unlevered cash flows? Assume a classical tax system.
You want to buy a house priced at $400,000. You have saved a deposit of $40,000. The bank has agreed to lend you $360,000 as a fully amortising loan with a term of 30 years. The interest rate is 8% pa payable monthly and is not expected to change.
What will be your monthly payments?
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.
Which of the following statements is NOT correct? Money market securities are:
Question 927 mean and median returns, mode return, return distribution, arithmetic and geometric averages, continuously compounding rate
The arithmetic average continuously compounded or log gross discrete return (AALGDR) on the ASX200 accumulation index over the 24 years from 31 Dec 1992 to 31 Dec 2016 is 9.49% pa.
The arithmetic standard deviation (SDLGDR) is 16.92 percentage points pa.
Assume that the log gross discrete returns are normally distributed and that the above estimates are true population statistics, not sample statistics, so there is no standard error in the sample mean or standard deviation estimates. Also assume that the standardised normal Z-statistic corresponding to a one-tail probability of 2.5% is exactly -1.96.
If you had a $1 million fund that replicated the ASX200 accumulation index, in how many years would the mean dollar value of your fund first be expected to lie outside the 95% confidence interval forecast?
Question 929 standard error, mean and median returns, mode return, return distribution, arithmetic and geometric averages, continuously compounding rate
The arithmetic average continuously compounded or log gross discrete return (AALGDR) on the ASX200 accumulation index over the 24 years from 31 Dec 1992 to 31 Dec 2016 is 9.49% pa.
The arithmetic standard deviation (SDLGDR) is 16.92 percentage points pa.
Assume that the data are sample statistics, not population statistics. Assume that the log gross discrete returns are normally distributed.
What is the standard error of your estimate of the sample ASX200 accumulation index arithmetic average log gross discrete return (AALGDR) over the 24 years from 1992 to 2016?
Question 978 comparative advantage in trade, production possibilities curve, no explanation
Arthur and Bindi are the only people on a remote island. Their production possibility curves are shown in the graph.
Assuming that Arthur and Bindi cooperate according to the principles of comparative advantage, what will be their combined production possibilities curve?
Question 988 variance, covariance, beta, CAPM, risk, no explanation
| Price Data Time Series | |||||||||||
| Sourced from Yahoo Finance Historical Price Data | |||||||||||
| Date | S&P500 Index (^GSPC) | Apple (AAPL) | |||||||||
| Open | High | Low | Close | Adj close | Open | High | Low | Close | Adj close | ||
| 2007, Wed 3 Jan | 1418 | 1429 | 1408 | 1417 | 1417 | 12.33 | 12.37 | 11.7 | 11.97 | 10.42 | |
| 2008, Wed 2 Jan | 1468 | 1472 | 1442 | 1447 | 1447 | 28.47 | 28.61 | 27.51 | 27.83 | 24.22 | |
| 2009, Fri 2 Jan | 903 | 935 | 899 | 932 | 932 | 12.27 | 13.01 | 12.17 | 12.96 | 11.28 | |
| 2010, Mon 4 Jan | 1117 | 1134 | 1117 | 1133 | 1133 | 30.49 | 30.64 | 30.34 | 30.57 | 26.6 | |
| Source: Yahoo Finance. | |||||||||||
Which of the following statements about the above table which is used to calculate Apple's equity beta is NOT correct?