For a price of $6, Carlos will sell you a share which will pay a dividend of $1 in one year and every year after that forever. The required return of the stock is 10% pa.

There are a number of ways that assets can be depreciated. Generally the government's tax office stipulates a certain method.

But if it didn't, what would be the ideal way to depreciate an asset from the perspective of a businesses owner?

Which firms tend to have **low** forward-looking price-earnings (PE) ratios?

Only consider firms with positive earnings, disregard firms with negative earnings and therefore negative PE ratios.

A managed fund charges fees based on the amount of money that you keep with them. The fee is **2**% of the **end**-of-year amount, 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.

How much money do you expect to have in the fund in 40 years? Also, what is the future value of the fees that the fund expects to earn from you? Give both amounts as future values in 40 years. 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.
- The fund invests its fees in the same companies as it invests your funds in, but with no fees.

The below answer choices list your expected wealth in 40 years and then the fund's expected wealth in 40 years.

**Question 559** variance, standard deviation, covariance, correlation

Which of the following statements about standard statistical mathematics notation is **NOT** correct?

The efficient markets hypothesis (EMH) and no-arbitrage pricing theory are most closely related to which of the following concepts?

A stock is expected to pay its first dividend of $**20** in **3** years (t=3), which it will continue to pay for the next nine years, so there will be **ten** $20 payments altogether with the last payment in year 12 (t=12).

From the thirteenth year onward, the dividend is expected to be **4**% more than the previous year, forever. So the dividend in the thirteenth year (t=13) will be $20.80, then $21.632 in year 14, and so on forever. The required return of the stock is **10**% pa. All rates are effective annual rates. Calculate the current (t=0) stock price.

You work for XYZ company and you’ve been asked to evaluate a new project which has **double** the systematic risk of the company’s other projects.

You use the Capital Asset Pricing Model (CAPM) formula and input the treasury yield ##(r_f )##, market risk premium ##(r_m-r_f )## and the company’s asset beta risk factor ##(\beta_{XYZ} )## into the CAPM formula which outputs a return.

This return that *you’ve just found* is:

The present value of an annuity of **3** annual payments of $**5,000** in arrears (at the end of each year) is $**12,434.26** when interest rates are **10**% pa compounding annually.

If the same amount of $12,434.26 is put in the bank at the same interest rate of 10% pa compounded annually and the same cash flow of $5,000 is withdrawn at the end of every year, **how much money** will be in the bank in **3** years, just **after** that third $5,000 payment is withdrawn?

Use the below information to value a mature levered company with growing annual perpetual cash flows and a constant debt-to-assets ratio. The next cash flow will be generated in one year from now, so a perpetuity can be used to value this firm. The firm's debt funding comprises annual fixed coupon bonds that all have the same seniority and coupon rate. When these bonds mature, new bonds will be re-issued, and so on in perpetuity. The yield curve is flat.

Data on a Levered Firm with Perpetual Cash Flows | ||

Item abbreviation | Value | Item full name |

##\text{OFCF}_1## | $12.5m | Operating free cash flow at time 1 |

##\text{FFCF}_1 \text{ or }\text{CFFA}_1## | $14m | Firm free cash flow or cash flow from assets at time 1 |

##\text{EFCF}_1## | $11m | Equity free cash flow at time 1 |

##\text{BondCoupons}_1## | $1.2m | Bond coupons paid to debt holders at time 1 |

##g## | 2% pa | Growth rate of OFCF, FFCF, EFCF and Debt cash flow |

##\text{WACC}_\text{BeforeTax}## | 9% pa | Weighted average cost of capital before tax |

##\text{WACC}_\text{AfterTax}## | 8.25% pa | Weighted average cost of capital after tax |

##r_\text{D}## | 5% pa | Bond yield |

##r_\text{EL}## | 13% pa | Cost or required return of levered equity |

##D/V_L## | 50% pa | Debt to assets ratio, where the asset value includes tax shields |

##n_\text{shares}## | 1m | Number of shares |

##t_c## | 30% | Corporate tax rate |

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