Your friend wants to borrow $1,000 and offers to pay you back $100 in 6 months, with more $100 payments at the end of every month for another 11 months. So there will be twelve $100 payments in total. She says that 12 payments of $100 equals $1,200 so she's being generous.

If interest rates are 12% pa, given as an APR compounding monthly, what is the Net Present Value (NPV) of your friend's deal?

You own a nice suit which you wear once per week on nights out. You bought it one year ago for $600. In your experience, suits used once per week last for 6 years. So you expect yours to last for another 5 years.

Your younger brother said that retro is back in style so he wants to wants to borrow your suit once a week when he goes out. With the increased use, your suit will only last for another 4 years rather than 5.

What is the present value of the cost of letting your brother use your current suit for the next 4 years?

Assume: that bank interest rates are 10% pa, given as an effective annual rate; you will buy a new suit when your current one wears out and your brother will not use the new one; your brother will only use your current suit so he will only use it for the next four years; and the price of a new suit never changes.

Acquirer firm plans to launch a takeover of Target firm. The firms operate in different industries and the CEO's rationale for the merger is to increase diversification and thereby decrease risk. The deal is not expected to create any synergies. An **80**% scrip and **20**% cash offer will be made that pays the fair price for the target's shares. The cash will be paid out of the firms' cash holdings, no new debt or equity will be raised.

Firms Involved in the Takeover | ||

Acquirer | Target | |

Assets ($m) | 6,000 | 700 |

Debt ($m) | 4,800 | 400 |

Share price ($) | 40 | 20 |

Number of shares (m) | 30 | 15 |

Ignore transaction costs and fees. Assume that the firms' debt and equity are fairly priced, and that each firms' debts' risk, yield and values remain constant. The acquisition is planned to occur immediately, so ignore the time value of money.

Calculate the merged firm's share price and total number of shares after the takeover has been completed.

Acquirer firm plans to launch a takeover of Target firm. The deal is expected to create a present value of synergies totaling $**2** million. A **scrip** offer will be made that pays the fair price for the target's shares plus **70**% of the total synergy value.

Firms Involved in the Takeover | ||

Acquirer | Target | |

Assets ($m) | 60 | 10 |

Debt ($m) | 20 | 2 |

Share price ($) | 10 | 8 |

Number of shares (m) | 4 | 1 |

Ignore transaction costs and fees. Assume that the firms' debt and equity are fairly priced, and that each firms' debts' risk, yield and values remain constant. The acquisition is planned to occur immediately, so ignore the time value of money.

Calculate the merged firm's share price and total number of shares after the takeover has been completed.

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

Project Data | |

Project life | 2 years |

Initial investment in equipment | $8m |

Depreciation of equipment per year for tax purposes | $3m |

Unit sales per year | 10m |

Sale price per unit | $9 |

Variable cost per unit | $4 |

Fixed costs per year, paid at the end of each year | $2m |

Tax rate | 30% |

Note 1: Due to the project, the firm will have to purchase $40m of inventory initially (at t=0). Half of this inventory will be sold at t=1 and the other half at t=2.

Note 2: The equipment will have a book value of $2m at the end of the project for tax purposes. However, the equipment is expected to fetch $1m when it is sold. Assume that the full capital loss is tax-deductible and taxed at the full corporate tax rate.

Note 3: The project will be fully funded by equity which investors will expect to pay dividends totaling $10m at the end of each year.

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

The Australian dollar's value was:

Did the Australian dollar or against the US dollar between these dates?

**Question 760** time calculation, interest only loan, no explanation

**Five** years ago (##t=-5## years) you entered into an **interest-only** home loan with a principal of $**500,000**, an interest rate of **4.5**% pa compounding monthly with a term of **25** years.

Then interest rates suddenly fall to **3**% pa (##t=0##), but you continue to pay the same monthly home loan payments as you did before. Will your home loan be paid off by the end of its remaining term? If so, in how many years from now? Measure the time taken to pay off the home loan from the current time which is 5 years after the home loan was first entered into.

Assume that the lower interest rate was given to you immediately after the loan repayment at the end of year 5, which was the 60th payment since the loan was granted. Also assume that rates were and are expected to remain constant.

Calculate Australia’s GDP over the 2016 calendar year using the below table:

Australian Gross Domestic Product Components |
||||

A$ billion, 2016 Calendar Year from 1 Jan 2016 to 31 Dec 2016 inclusive | ||||

Consumption | Investment | Government spending | Exports | Imports |

971 | 421 | 320 | 328 | 344 |

Source: ABS 5206.0 Australian National Accounts: National Income, Expenditure and Product. Table 3. Expenditure on Gross Domestic Product (GDP), Current prices.

Australia’s GDP was:

Safe firms with low chances of bankruptcy will tend to have:

**Question 975** comparative advantage in trade, production possibilities curve, no explanation

Arthur and Bindi 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.

Arthur can pick 1 coconut per hour, 4 dates per hour or any linear combination of coconuts and dates. For example, he could pick 0.5 coconuts and 2 dates per hour.

Bindi can pick 2 coconuts per hour, 1 date per hour or any linear combination. For example, she could pick 0.5 coconuts and 0.75 dates per hour.

This information is summarised in the table and graph:

Harvest Rates Per Hour |
||

Coconuts | Dates | |

Arthur | 1 | 4 |

Bindi | 2 | 1 |

Which of the following statements is **NOT** correct?