The phone company Telstra have 2 mobile service plans on offer which both have the same amount of phone call, text message and internet data credit. Both plans have a contract length of 24 months and the monthly cost is payable in advance. The only difference between the two plans is that one is a:

- 'Bring Your Own' (BYO) mobile service plan, costing $50 per month. There is no phone included in this plan. The other plan is a:
- 'Bundled' mobile service plan that comes with the latest smart phone, costing $71 per month. This plan includes the latest smart phone.

Neither plan has any additional payments at the start or end.

The only difference between the plans is the phone, so what is the implied cost of the phone as a present value?

Assume that the discount rate is 2% per month given as an effective monthly rate, the same high interest rate on credit cards.

According to the theory of the Capital Asset Pricing Model (CAPM), total risk can be broken into two components, systematic risk and idiosyncratic risk. Which of the following events would be considered a systematic, undiversifiable event according to the theory of the CAPM?

A project has an internal rate of return (IRR) which is greater than its required return. Select the most correct statement.

A project has the following cash flows:

Project Cash Flows | |

Time (yrs) | Cash flow ($) |

0 | -400 |

1 | 0 |

2 | 500 |

What is the payback period of the project in years?

Normally cash flows are assumed to happen at the given time. But here, assume that the cash flows are received smoothly over the year. So the $500 at time 2 is actually earned smoothly from t=1 to t=2.

You just signed up for a 30 year **fully amortising** mortgage loan with monthly payments of $1,500 per month. The interest rate is 9% pa which is not expected to change.

To your surprise, you can actually afford to pay $2,000 per month and your mortgage allows early repayments without fees. If you maintain these higher monthly payments, how long will it take to pay off your mortgage?

**Question 338** market efficiency, CAPM, opportunity cost, technical analysis

A man inherits $**500,000** worth of shares.

He believes that by learning the secrets of trading, keeping up with the financial news and doing complex trend analysis with charts that he can quit his job and become a self-employed day trader in the equities markets.

What is the expected gain from doing this over the first year? Measure the net gain in wealth received at the end of this first year due to the decision to become a day trader. Assume the following:

- He earns $
**60,000**pa in his current job, paid in a lump sum at the end of each year. - He enjoys examining share price graphs and day trading just as much as he enjoys his current job.
- Stock markets are weak form and semi-strong form efficient.
- He has no inside information.
- He makes
**1**trade every day and there are**250**trading days in the year. Trading costs are $**20**per trade. His broker invoices him for the trading costs at the end of the year. - The shares that he currently owns and the shares that he intends to trade have the same level of systematic risk as the market portfolio.
- The market portfolio's expected return is
**10**% pa.

Measure the **net gain** over the **first** year as an expected wealth increase at the **end** of the year.

The current gold price is $**700**, gold storage costs are **2**% pa and the risk free rate is **10**% pa, both with **continuous compounding**.

What should be the **3** year gold futures price?

You bought a house, primarily funded using a home loan from a bank. Which of the following statements is **NOT** correct?

**Question 1000** duration, duration of a perpetuity with growth

An unlevered firm cuts its dividends and re-invests in zero-NPV projects with the same risk as its existing projects. This decreases the dividend yield, but increases the firm's equity's dividend growth rate and duration, while its total required return on equity remains unchanged. The equity can be valued as a perpetuity and the duration of a perpetuity is given below:

###D_\text{Macaulay} = \dfrac{1+r}{r-g}###What will be the effect on the stock's CAPM beta? Assume that there's no change in the risk free rate or market risk premium. The company's equity beta will: