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Question 113  WACC, CFFA, capital budgeting

The US firm Google operates in the online advertising business. In 2011 Google bought Motorola Mobility which manufactures mobile phones.

Assume the following:

  • Google had a 10% after-tax weighted average cost of capital (WACC) before it bought Motorola.
  • Motorola had a 20% after-tax WACC before it merged with Google.
  • Google and Motorola have the same level of gearing.
  • Both companies operate in a classical tax system.

You are a manager at Motorola. You must value a project for making mobile phones. Which method(s) will give the correct valuation of the mobile phone manufacturing project? Select the most correct answer.

The mobile phone manufacturing project's:



Question 176  CFFA

Why is Capital Expenditure (CapEx) subtracted in the Cash Flow From Assets (CFFA) formula?

###CFFA=NI+Depr-CapEx - \Delta NWC+IntExp###



Question 209  CFFA

Find Piano Bar's Cash Flow From Assets (CFFA), also known as Free Cash Flow to the Firm (FCFF), over the year ending 30th June 2013.

Piano Bar
Income Statement for
year ending 30th June 2013
  $m
Sales 310
COGS 185
Operating expense 20
Depreciation 15
Interest expense 10
Income before tax 80
Tax at 30% 24
Net income 56
 
Piano Bar
Balance Sheet
as at 30th June 2013 2012
  $m $m
Assets
Current assets 240 230
PPE    
    Cost 420 400
    Accumul. depr. 50 35
    Carrying amount 370 365
Total assets 610 595
 
Liabilities
Current liabilities 180 190
Non-current liabilities 290 265
Owners' equity
Retained earnings 90 90
Contributed equity 50 50
Total L and OE 610 595
 

 

Note: all figures are given in millions of dollars ($m).



Question 249  equivalent annual cash flow, effective rate conversion

Details of two different types of desserts or edible treats are given below:

  • High-sugar treats like candy, chocolate and ice cream make a person very happy. High sugar treats are cheap at only $2 per day.
  • Low-sugar treats like nuts, cheese and fruit make a person equally happy if these foods are of high quality. Low sugar treats are more expensive at $4 per day.

The advantage of low-sugar treats is that a person only needs to pay the dentist $2,000 for fillings and root canal therapy once every 15 years. Whereas with high-sugar treats, that treatment needs to be done every 5 years.

The real discount rate is 10%, given as an effective annual rate. Assume that there are 365 days in every year and that all cash flows are real. The inflation rate is 3% given as an effective annual rate.

Find the equivalent annual cash flow (EAC) of the high-sugar treats and low-sugar treats, including dental costs. The below choices are listed in that order.

Ignore the pain of dental therapy, personal preferences and other factors.



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.



Question 431  option, no explanation

A European put option will mature in ##T## years with a strike price of ##K## dollars. The underlying asset has a price of ##S## dollars.

What is an expression for the payoff at maturity ##(f_T)## in dollars from having written (being short) the put option?



Question 461  book and market values, ROE, ROA, market efficiency

One year ago a pharmaceutical firm floated by selling its 1 million shares for $100 each. Its book and market values of equity were both $100m. Its debt totalled $50m. The required return on the firm's assets was 15%, equity 20% and debt 5% pa.

In the year since then, the firm:

  • Earned net income of $29m.
  • Paid dividends totaling $10m.
  • Discovered a valuable new drug that will lead to a massive 1,000 times increase in the firm's net income in 10 years after the research is commercialised. News of the discovery was publicly announced. The firm's systematic risk remains unchanged.

Which of the following statements is NOT correct? All statements are about current figures, not figures one year ago.

Hint: Book return on assets (ROA) and book return on equity (ROE) are ratios that accountants like to use to measure a business's past performance.

###\text{ROA}= \dfrac{\text{Net income}}{\text{Book value of assets}}###

###\text{ROE}= \dfrac{\text{Net income}}{\text{Book value of equity}}###

The required return on assets ##r_V## is a return that financiers like to use to estimate a business's future required performance which compensates them for the firm's assets' risks. If the business were to achieve realised historical returns equal to its required returns, then investment into the business's assets would have been a zero-NPV decision, which is neither good nor bad but fair.

###r_\text{V, 0 to 1}= \dfrac{\text{Cash flow from assets}_\text{1}}{\text{Market value of assets}_\text{0}} = \dfrac{CFFA_\text{1}}{V_\text{0}}###

Similarly for equity and debt.



Question 693  boot strapping zero coupon yield, forward interest rate, term structure of interest rates

Information about three risk free Government bonds is given in the table below.

Federal Treasury Bond Data
Maturity Yield to maturity Coupon rate Face value Price
(years) (pa, compounding semi-annually) (pa, paid semi-annually) ($) ($)
0.5 3% 4% 100 100.4926
1 4% 4% 100 100.0000
1.5 5% 4% 100 98.5720
 

 

Based on the above government bonds' yields to maturity, which of the below statements about the spot zero rates and forward zero rates is NOT correct?



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 908  effective rate, return types, gross discrete return, return distribution, price gains and returns over time

For an asset's price to double from say $1 to $2 in one year, what must its gross discrete return (GDR) be? If the price now is ##P_0## and the price in one year is ##P_1## then the gross discrete return over the next year is:

###\text{GDR}_\text{annual} = \dfrac{P_1}{P_0}###