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Question 38  bond pricing

A two year Government bond has a face value of $100, a yield of 0.5% and a fixed coupon rate of 0.5%, paid semi-annually. What is its price?



Question 73  portfolio risk, standard deviation

Portfolio Details
Stock Expected
return
Standard
deviation
Covariance ##(\sigma_{A,B})## Beta Dollars
invested
A 0.2 0.4 0.12 0.5 40
B 0.3 0.8 1.5 80
 

What is the standard deviation (not variance) of the above portfolio? Note that the stocks' covariance is given, not correlation.



Question 75  WACC, CAPM

A company has:

  • 50 million shares outstanding.
  • The market price of one share is currently $6.
  • The risk-free rate is 5% and the market return is 10%.
  • Market analysts believe that the company's ordinary shares have a beta of 2.
  • The company has 1 million preferred stock which have a face (or par) value of $100 and pay a constant dividend of 10% of par. They currently trade for $80 each.
  • The company's debentures are publicly traded and their market price is equal to 90% of their face value.
  • The debentures have a total face value of $60,000,000 and the current yield to maturity of corporate debentures is 10% per annum. The corporate tax rate is 30%.

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



Question 230  bond pricing, capital raising

A firm wishes to raise $10 million now. They will issue 6% pa semi-annual coupon bonds that will mature in 8 years and have a face value of $1,000 each. Bond yields are 10% pa, given as an APR compounding every 6 months, and the yield curve is flat.

How many bonds should the firm issue? All numbers are rounded up.



Question 244  CAPM, SML, NPV, risk

Examine the following graph which shows stocks' betas ##(\beta)## and expected returns ##(\mu)##:

Image of CAPM SML graph

Assume that the CAPM holds and that future expectations of stocks' returns and betas are correctly measured. Which statement is NOT correct?



Question 394  real option, option

According to option theory, it's rational for students to submit their assignments as or as possible?


Question 481  Annuity

This annuity formula ##\dfrac{C_1}{r}\left(1-\dfrac{1}{(1+r)^3} \right)## is equivalent to which of the following formulas? Note the 3.

In the below formulas, ##C_t## is a cash flow at time t. All of the cash flows are equal, but paid at different times.



Question 702  utility, risk aversion, utility function, gamble

Mr Blue, Miss Red and Mrs Green are people with different utility functions.

Each person has $50 of initial wealth. A coin toss game is offered to each person at a casino where the player can win or lose $50. Each player can flip a coin and if they flip heads, they receive $50. If they flip tails then they will lose $50. Which of the following statements is NOT correct?

Utility curves



Question 809  Markowitz portfolio theory, CAPM, Jensens alpha, CML, systematic and idiosyncratic risk

A graph of assets’ expected returns ##(\mu)## versus standard deviations ##(\sigma)## is given in the graph below. The CML is the capital market line.

Image of CML graph

Which of the following statements about this graph, Markowitz portfolio theory and the Capital Asset Pricing Model (CAPM) theory is NOT correct?



Question 833  option, delta, theta, standard deviation, no explanation

Which of the following statements about an option (either a call or put) and its underlying stock is NOT correct?