A firm wishes to raise $8 million now. They will issue 7% pa semi-annual coupon bonds that will mature in 10 years and have a face value of $100 each. Bond yields are 10% pa, given as an APR compounding every 6 months, and the yield curve is flat.
How many bonds should the firm issue?
A managed fund charges fees based on the amount of money that you keep with them. The fee is 2% of the start-of-year amount, but it is paid at the end of every year.
This fee is charged regardless of whether the fund makes gains or losses on your money.
The fund offers to invest your money in shares which have an expected return of 10% pa before fees.
You are thinking of investing $100,000 in the fund and keeping it there for 40 years when you plan to retire.
What is the Net Present Value (NPV) of investing your money in the fund? Note that the question is not asking how much money you will have in 40 years, it is asking: what is the NPV of investing in the fund? Assume that:
- The fund has no private information.
- Markets are weak and semi-strong form efficient.
- The fund's transaction costs are negligible.
- The cost and trouble of investing your money in shares by yourself, without the managed fund, is negligible.
Below are some statements about loans and bonds. The first descriptive sentence is correct. But one of the second sentences about the loans' or bonds' prices is not correct. Which statement is NOT correct? Assume that interest rates are positive.
Note that coupons or interest payments are the periodic payments made throughout a bond or loan's life. The face or par value of a bond or loan is the amount paid at the end when the debt matures.
Question 566 capital structure, capital raising, rights issue, on market repurchase, dividend, stock split, bonus issue
A company's share price fell by 20% and its number of shares rose by 25%. Assume that there are no taxes, no signalling effects and no transaction costs.
Which one of the following corporate events may have happened?
A company conducts a 4 for 3 stock split. What is the percentage change in the stock price and the number of shares outstanding? The answers are given in the same order.
In general, stock prices tend to rise. What does this mean for futures on equity?
An economy has only two investable assets: stocks and cash.
Stocks had a historical nominal average total return of negative two percent per annum (-2% pa) over the last 20 years. Stocks are liquid and actively traded. Stock returns are variable, they have risk.
Cash is riskless and has a nominal constant return of zero percent per annum (0% pa), which it had in the past and will have in the future. Cash can be kept safely at zero cost. Cash can be converted into shares and vice versa at zero cost.
The nominal total return of the shares over the next year is expected to be:
Question 894 balance of payments, current account, no explanation
Below are four graphs of Australia's external position, published in the RBA's chart pack.
Assume that all assets and liabilities are debt which makes interest income and equity which makes dividend income.
Which of the following statements is NOT correct? As at the end of 2017, Australia’s:
Question 895 comparative advantage in trade, production possibilities curve
Adam and Bella are the only people on a remote island.
Luckily there are Coconut and Date palm trees on the island that grow delicious fruit. The problem is that harvesting the fruit takes a lot of work.
Adam can pick 7 coconuts per hour, 6 dates per hour or any linear combination of coconuts and dates. For example, he could pick 3.5 coconuts and 3 dates per hour.
Bella can pick 3 coconuts per hour, 5 dates per hour or any linear combination. For example, she could pick 1.5 coconuts and 2.5 dates per hour.
This information is summarised in the table and graph:
| Harvest Rates Per Hour | ||
| Coconuts | Dates | |
| Adam | 7 | 6 |
| Bella | 3 | 5 |
Which of the following statements is NOT correct?
Question 898 comparative advantage in trade, production possibilities curve, no explanation
Adam and Bella are the only people on a remote island. Their production possibility curves are shown in the graph.
Assuming that Adam and Bella cooperate according to the principles of comparative advantage, what will be their combined production possibilities curve?
