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Question 55  NPV, DDM

A stock is expected to pay the following dividends:

Cash Flows of a Stock
Time (yrs) 0 1 2 3 4 ...
Dividend ($) 0.00 1.15 1.10 1.05 1.00 ...
 

After year 4, the annual dividend will grow in perpetuity at -5% pa. Note that this is a negative growth rate, so the dividend will actually shrink. So,

  • the dividend at t=5 will be ##$1(1-0.05) = $0.95##,
  • the dividend at t=6 will be ##$1(1-0.05)^2 = $0.9025##, and so on.

The required return on the stock is 10% pa. Both the growth rate and required return are given as effective annual rates.

What will be the price of the stock in four and a half years (t = 4.5)?



Question 197  credit risk, bank accepted bill

A highly levered risky firm is trying to raise more debt. The types of debt being considered, in no particular order, are senior bonds, junior bonds, bank accepted bills, promissory notes and bank loans.

Which of these forms of debt is the safest from the perspective of the debt investors who are thinking of investing in the firm's new debt?



Question 202  DDM, payout policy

Currently, a mining company has a share price of $6 and pays constant annual dividends of $0.50. The next dividend will be paid in 1 year. Suddenly and unexpectedly the mining company announces that due to higher than expected profits, all of these windfall profits will be paid as a special dividend of $0.30 in 1 year.

If investors believe that the windfall profits and dividend is a one-off event, what will be the new share price? If investors believe that the additional dividend is actually permanent and will continue to be paid, what will be the new share price? Assume that the required return on equity is unchanged. Choose from the following, where the first share price includes the one-off increase in earnings and dividends for the first year only ##(P_\text{0 one-off})## , and the second assumes that the increase is permanent ##(P_\text{0 permanent})##:


Note: When a firm makes excess profits they sometimes pay them out as special dividends. Special dividends are just like ordinary dividends but they are one-off and investors do not expect them to continue, unlike ordinary dividends which are expected to persist.


Question 291  CFFA

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

Scubar Corp
Income Statement for
year ending 30th June 2013
  $m
Sales 200
COGS 60
Depreciation 20
Rent expense 11
Interest expense 19
Taxable Income 90
Taxes at 30% 27
Net income 63
 
Scubar Corp
Balance Sheet
as at 30th June 2013 2012
  $m $m
Inventory 60 50
Trade debtors 19 6
Rent paid in advance 3 2
PPE 420 400
Total assets 502 458
 
Trade creditors 10 8
Bond liabilities 200 190
Contributed equity 130 130
Retained profits 162 130
Total L and OE 502 458
 

 

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

The cash flow from assets was:



Question 437  option, no explanation

Two call options are exactly the same, but one matures in one year and the other matures in two years. Which option would you expect to have the higher price, the option which matures or , or should they have the price?


Question 519  DDM

A stock is just about to pay a dividend of $1 tonight. Future annual dividends are expected to grow by 2% pa. The next dividend of $1 will be paid tonight, and the year after that the dividend will be $1.02 (=1*(1+0.02)^1), and a year later 1.0404 (=1*(1+0.04)^2) and so on forever.

Its required total return is 10% pa. The total required return and growth rate of dividends are given as effective annual rates.

Calculate the current stock price.



Question 632  foreign exchange rate, no explanation

Below is a graph of the USD against the JPY and EUR from 1980 to 2015, compiled by the RBA. Select the correct statement about what occurred between 1980 and 2015. Note that in 1980 the euro was around 1.3 USD per EUR and the Yen was around 250 JPY per USD.

Image of USD vs JPY and EUR graph



Question 761  NPV, annuity due, no explanation

The phone company Optus 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 $80 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 $100 per month. This plan includes the latest smart phone.

Neither plan has any additional payments at the start or end. Assume that the discount rate is 1% per month given as an effective monthly rate.

The only difference between the plans is the phone, so what is the implied cost of the phone as a present value? Given that the latest smart phone actually costs $600 to purchase outright from another retailer, should you commit to the BYO plan or the bundled plan?



Question 885  foreign exchange rate, no explanation

A Brazilian lady wishes to convert 1 million Brazilian Real (BRL) into Chinese Renminbi (RMB, also called the Yuan or CNY). The exchange rate is 3.42 BRL per USD and 6.27 RMB per USD. How much is the BRL 1 million worth in RMB?



Question 923  omitted variable bias, CAPM, single factor model, single index model, no explanation

Capital Asset Pricing Model (CAPM) and the Single Index Model (SIM) are single factor models whose only risk factor is the market portfolio’s return. Say a Taxi company and an Umbrella company are influenced by two factors, the market portfolio return and rainfall. When it rains, both the Taxi and Umbrella companies’ stock prices do well. When there’s no rain, both do poorly. Assume that rainfall risk is a systematic risk that cannot be diversified and that rainfall has zero correlation with the market portfolio’s returns.

Which of the following statements about these two stocks is NOT correct?

The CAPM and SIM: