A stock pays semi-annual dividends. It just paid a dividend of $10. The growth rate in the dividend is 1% every 6 months, given as an effective 6 month rate. You estimate that the stock's required return is 21% pa, as an effective annual rate.
Using the dividend discount model, what will be the share price?
A two year Government bond has a face value of $100, a yield of 2.5% pa and a fixed coupon rate of 0.5% pa, paid semi-annually. What is its price?
The US firm Google operates in the online advertising business. In 2011 Google bought Motorola Mobility which manufactures mobile phones.
Assume the following:
- Google had a 10% after-tax weighted average cost of capital (WACC) before it bought Motorola.
- Motorola had a 20% after-tax WACC before it merged with Google.
- Google and Motorola have the same level of gearing.
- Both companies operate in a classical tax system.
You are a manager at Motorola. You must value a project for making mobile phones. Which method(s) will give the correct valuation of the mobile phone manufacturing project? Select the most correct answer.
The mobile phone manufacturing project's:
Question 538 bond pricing, income and capital returns, no explanation
Risk-free government bonds that have coupon rates greater than their yields:
Which of the below formulas gives the payoff at maturity ##(f_T)## from being long a future? Let the underlying asset price at maturity be ##S_T## and the locked-in futures price be ##K_T##.
Mr Blue, Miss Red and Mrs Green are people with different utility functions.
Which of the following statements is NOT correct?
Question 874 utility, return distribution, log-normal distribution, arithmetic and geometric averages
Who was the first theorist to endorse the maximisiation of the geometric average gross discrete return for investors (not gamblers) since it gave a "...portfolio that has a greater probability of being as valuable or more valuable than any other significantly different portfolio at the end of n years, n being large"?
Question 903 option, Black-Scholes-Merton option pricing, option on stock index
A six month European-style call option on the S&P500 stock index has a strike price of 2800 points.
The underlying S&P500 stock index currently trades at 2700 points, has a continuously compounded dividend yield of 2% pa and a standard deviation of continuously compounded returns of 25% pa.
The risk-free interest rate is 5% pa continuously compounded.
Use the Black-Scholes-Merton formula to calculate the option price. The call option price now is:
The present value of an annuity of 3 annual payments of $5,000 in arrears (at the end of each year) is $12,434.26 when interest rates are 10% pa compounding annually.
If the same amount of $12,434.26 is put in the bank at the same interest rate of 10% pa compounded annually and the same cash flow of $5,000 is withdrawn at the end of every year, how much money will be in the bank in 3 years, just after that third $5,000 payment is withdrawn?
Question 981 margin loan, Basel accord, credit conversion factor
Margin loans secured by listed stock have a Basel III risk weight of 20%.
For margin loans that cannot be immediately cancelled by banks and asked to be repaid, the credit conversion factor (CCF) is 20%.
Suppose you have a stock portfolio worth $500,000, financed by:
- $300,000 of your own money; and
- $200,000 of the bank’s funds in the form of a margin loan which can only be cancelled by the bank after 5 days notice. The margin loan’s maximum LVR is 70%.
How much regulatory capital must the bank hold due to your margin loan? Assume that the bank wishes to pay dividends to its shareholders, so include the 2.5% capital conservation buffer in your calculations.