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Question 85  WACC, CAPM

A company has:

  • 140 million shares outstanding.
  • The market price of one share is currently $2.
  • The company's debentures are publicly traded and their market price is equal to 93% of the face value.
  • The debentures have a total face value of $50,000,000 and the current yield to maturity of corporate debentures is 12% per annum.
  • The risk-free rate is 8.50% and the market return is 13.7%.
  • Market analysts estimated that the company's stock has a beta of 0.90.
  • The corporate tax rate is 30%.

What is the company's after-tax weighted average cost of capital (WACC) in a classical tax system?



Question 284  covariance, correlation

The following table shows a sample of historical total returns of shares in two different companies A and B.

Stock Returns
Total effective annual returns
Year ##r_A## ##r_B##
2007 0.2 0.4
2008 0.04 -0.2
2009 -0.1 -0.3
2010 0.18 0.5
 

What is the historical sample covariance (##\hat{\sigma}_{A,B}##) and correlation (##\rho_{A,B}##) of stock A and B's total effective annual returns?



Question 336  forward foreign exchange rate, no explanation

The Australian cash rate is expected to be 6% pa while the US federal funds rate is expected to be 4% pa over the next 3 years, both given as effective annual rates. The current exchange rate is 0.80 AUD per USD.

What is the implied 3 year forward foreign exchange rate?



Question 346  NPV, annuity due

Your poor friend asks to borrow some money from you. He would like $1,000 now (t=0) and every year for the next 5 years, so there will be 6 payments of $1,000 from t=0 to t=5 inclusive. In return he will pay you $10,000 in seven years from now (t=7).

What is the net present value (NPV) of lending to your friend?

Assume that your friend will definitely pay you back so the loan is risk-free, and that the yield on risk-free government debt is 10% pa, given as an effective annual rate.



Question 515  corporate financial decision theory, idiom

The expression 'you have to spend money to make money' relates to which business decision?



Question 588  option

If trader A has sold the right that allows counterparty B to buy the underlying asset from him at maturity if counterparty B wants then trader A is:



Question 625  dividend re-investment plan, capital raising

Which of the following statements about dividend re-investment plans (DRP's) is NOT correct?



Question 815  expected and historical returns

If future required returns fall, and future expected cash flows remain the same, then prices will , or remain the ?


Question 878  foreign exchange rate, American and European terms

If the Australian dollar quote of 0.8 USD per AUD suddenly falls to 0.7 USD per AUD, has the Australian dollar or against the US dollar?



Question 907  continuously compounding rate, return types, 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 continuously compounded return ##(r_{CC})## be? If the price now is ##P_0## and the price in one year is ##P_1## then the continuously compounded return over the next year is:

###r_\text{CC annual} = \ln{\left[ \dfrac{P_1}{P_0} \right]} = \text{LGDR}_\text{annual}###