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Question 135  credit card, APR, no explanation

Your credit card shows a $600 debt liability. The interest rate is 24% pa, payable monthly. You can't pay any of the debt off, except in 6 months when it's your birthday and you'll receive $50 which you'll use to pay off the credit card. If that is your only repayment, how much will the credit card debt liability be one year from now?



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 582  APR, effective rate, effective rate conversion

A credit card company advertises an interest rate of 18% pa, payable monthly. Which of the following statements about the interest rate is NOT correct? All rates are given to four decimal places.



Question 597  future, continuously compounding rate

A stock is expected to pay a dividend of $5 per share in 1 month and $5 again in 7 months.

The stock price is $100, and the risk-free rate of interest is 10% per annum with continuous compounding. The yield curve is flat. Assume that investors are risk-neutral.

An investor has just taken a short position in a one year forward contract on the stock.

Find the forward price ##(F_1)## and value of the contract ##(V_0)## initially. Also find the value of the short futures contract in 6 months ##(V_\text{0.5, SF})## if the stock price fell to $90.



Question 639  option, option payoff at maturity, no explanation

Which of the below formulas gives the payoff ##(f)## at maturity ##(T)## from being short a put option? Let the underlying asset price at maturity be ##S_T## and the exercise price be ##X_T##.



Question 674  CAPM, beta, expected and historical returns

A stock has a beta of 1.5. The market's expected total return is 10% pa and the risk free rate is 5% pa, both given as effective annual rates.

Over the last year, bad economic news was released showing a higher chance of recession. Over this time the share market fell by 1%. So ##r_{m} = (P_{0} - P_{-1})/P_{-1} = -0.01##, where the current time is zero and one year ago is time -1. The risk free rate was unchanged.

What do you think was the stock's historical return over the last year, given as an effective annual rate?



Question 818  option, future, no explanation

Which derivatives position has the possibility of unlimited potential gains?



Question 913  bill pricing, money market

A 90 day bank bill has a face value of $100,000.

Investor A bought the bill when it was first issued at a simple yield to maturity of 3% pa and sold it 20 days later to Investor B who expected to earn a simple yield to maturity of 5% pa. Investor B held it until maturity.

Which of the following statements is NOT correct?



Question 934  standard deviation, risk

Which of the following statements about an asset’s standard deviation of returns is NOT correct? All other things remaining equal, the higher the asset’s standard deviation of returns:



Question 938  CAPM, SML

The market's expected total return is 10% pa and the risk free rate is 5% pa, both given as effective annual rates.

A stock has a beta of 0.7.

In the last 5 minutes, bad economic news was released showing a higher chance of recession. Over this time the share market fell by 2%. The risk free rate was unchanged. What do you think was the stock's historical return over the last 5 minutes, given as an effective 5 minute rate?