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Question 93  correlation, CAPM, systematic risk

A stock's correlation with the market portfolio increases while its total risk is unchanged. What will happen to the stock's expected return and systematic risk?



Question 172  fully amortising loan, APR

You just signed up for a 30 year fully amortising mortgage loan with monthly payments of $2,000 per month. The interest rate is 9% pa which is not expected to change.

How much did you borrow? After 5 years, how much will be owing on the mortgage? The interest rate is still 9% and is not expected to change.



Question 208  CFFA

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

UniBar Corp
Income Statement for
year ending 30th June 2013
  $m
Sales 80
COGS 40
Operating expense 15
Depreciation 10
Interest expense 5
Income before tax 10
Tax at 30% 3
Net income 7
 
UniBar Corp
Balance Sheet
as at 30th June 2013 2012
  $m $m
Assets
Current assets 120 90
PPE    
    Cost 360 320
    Accumul. depr. 40 30
    Carrying amount 320 290
Total assets 440 380
 
Liabilities
Current liabilities 110 60
Non-current liabilities 190 180
Owners' equity
Retained earnings 95 95
Contributed equity 45 45
Total L and OE 440 380
 

 

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



Question 214  rights issue

In late 2003 the listed bank ANZ announced a 2-for-11 rights issue to fund the takeover of New Zealand bank NBNZ. Below is the chronology of events:

  • 23/10/2003. Share price closes at $18.30.

  • 24/10/2003. 2-for-11 rights issue announced at a subscription price of $13. The proceeds of the rights issue will be used to acquire New Zealand bank NBNZ. Trading halt announced in morning before market opens.

  • 28/10/2003. Trading halt lifted. Last (and only) day that shares trade cum-rights. Share price opens at $18.00 and closes at $18.14.

  • 29/10/2003. Shares trade ex-rights.

All things remaining equal, what would you expect ANZ's stock price to open at on the first day that it trades ex-rights (29/10/2003)? Ignore the time value of money since time is negligibly short. Also ignore taxes.



Question 401  capital budgeting, CFFA

The hardest and most important aspect of business project valuation is the estimation of the:



Question 412  enterprise value, no explanation

A large proportion of a levered firm's assets is cash held at the bank. The firm is financed with half equity and half debt.

Which of the following statements about this firm's enterprise value (EV) and total asset value (V) is NOT correct?



Question 453  DDM, income and capital returns

The perpetuity with growth equation is:

###P_0=\dfrac{C_1}{r-g}###

Which of the following is NOT equal to the expected capital return as an effective annual rate?



Question 507  leverage, accounting ratio

A firm has a debt-to-equity ratio of 60%. What is its debt-to-assets ratio?



Question 698  utility, risk aversion, utility function

Mr Blue, Miss Red and Mrs Green are people with different utility functions. Which of the statements about the 3 utility functions is NOT correct?

Utility curves



Question 948  VaR, expected shortfall

Below is a historical sample of returns on the S&P500 capital index.

S&P500 Capital Index Daily Returns
Ranked from Best to Worst
10,000 trading days from 4th August 1977 to
24 March 2017 based on closing prices.
Rank Date
(DD-MM-YY)
Continuously compounded
daily return (% per day)
1 21-10-87 9.23
2 08-03-83 8.97
3 13-11-08 8.3
4 30-09-08 8.09
5 28-10-08 8.01
6 29-10-87 7.28
9980 11-12-08 -5.51
9981 22-10-08 -5.51
9982 08-08-11 -5.54
9983 22-09-08 -5.64
9984 11-09-86 -5.69
9985 30-11-87 -5.88
9986 14-04-00 -5.99
9987 07-10-98 -6.06
9988 08-01-88 -6.51
9989 27-10-97 -6.55
9990 13-10-89 -6.62
9991 15-10-08 -6.71
9992 29-09-08 -6.85
9993 07-10-08 -6.91
9994 14-11-08 -7.64
9995 01-12-08 -7.79
9996 29-10-08 -8.05
9997 26-10-87 -8.4
9998 31-08-98 -8.45
9999 09-10-08 -12.9
10000 19-10-87 -23.36
 
Mean of all 10,000: 0.0354
Sample standard deviation of all 10,000: 1.2062
Sources: Bloomberg and S&P.
 

 

Assume that the one-tail Z-statistic corresponding to a probability of 99.9% is exactly 3.09. Which of the following statements is NOT correct? Based on the historical data, the 99.9% daily: