A stock is expected to pay the following dividends:
Cash Flows of a Stock | ||||||
Time (yrs) | 0 | 1 | 2 | 3 | 4 | ... |
Dividend ($) | 8 | 8 | 8 | 20 | 8 | ... |
After year 4, the dividend will grow in perpetuity at 4% pa. The required return on the stock is 10% pa. Both the growth rate and required return are given as effective annual rates. Note that the $8 dividend at time zero is about to be paid tonight.
What will be the price of the stock in 5 years (t = 5), just after the dividend at that time has been paid?
The below screenshot of Microsoft's (MSFT) details were taken from the Google Finance website on 28 Nov 2014. Some information has been deliberately blanked out.
What was MSFT's backwards-looking price-earnings ratio?
Some countries' interest rates are so low that they're zero.
If interest rates are 0% pa and are expected to stay at that level for the foreseeable future, what is the most that you would be prepared to pay a bank now if it offered to pay you $10 at the end of every year for the next 5 years?
In other words, what is the present value of five $10 payments at time 1, 2, 3, 4 and 5 if interest rates are 0% pa?
Question 539 debt terminology, fully amortising loan, bond pricing
A 'fully amortising' loan can also be called a:
Question 579 price gains and returns over time, time calculation, effective rate
How many years will it take for an asset's price to double if the price grows by 10% pa?
A 2-year futures contract on a stock paying a continuous dividend yield of 3% pa was bought when the underlying stock price was $10 and the risk free rate was 10% per annum with continuous compounding. Assume that investors are risk-neutral, so the stock's total required return is the risk free rate.
Find the forward price ##(F_2)## and value of the contract ##(V_0)## initially. Also find the value of the contract in 6 months ##(V_{0.5})## if the stock price rose to $12.
A share will pay its next dividend of ##C_1## in one year, and will continue to pay a dividend every year after that forever, growing at a rate of ##g##. So the next dividend will be ##C_2=C_1 (1+g)^1##, then ##C_3=C_2 (1+g)^1##, and so on forever.
The current price of the share is ##P_0## and its required return is ##r##
Which of the following is NOT equal to the expected share price in 2 years ##(P_2)## just after the dividend at that time ##(C_2)## has been paid?
You intend to use futures on oil to hedge the risk of purchasing oil. There is no cross-hedging risk. Oil pays no dividends but it’s costly to store. Which of the following statements about basis risk in this scenario is NOT correct?
Below is a table of the 'Risk-weights for residential mortgages' as shown in APRA Basel 3 Prudential Standard APS 112 Capital Adequacy: Standardised Approach to Credit Risk January 2013.
LVR (%) |
Standard eligible mortgages |
Non-standard eligible mortgages |
||
|
Risk-weight (no mortgage insurance) % |
Risk-weight (with at least 40% of the mortgage insured by an acceptable LMI) % |
Risk-weight (no mortgage insurance) % |
Risk-weight (with at least 40% of the mortgage insured by an acceptable LMI) % |
0 – 60 |
35 |
35 |
50 |
35 |
60.01 – 80 |
35 |
35 |
75 |
50 |
80.01 – 90 |
50 |
35 |
100 |
75 |
90.01 – 100 |
75 |
50 |
100 |
75 |
> 100.01 |
100 |
75 |
100 |
100 |
A bank is considering granting a home loan to a man to buy a house worth $1.25 million using his own funds and the loan. The loan would be standard with no lenders mortgage insurance (LMI) and an LVR of 80%.
What is the minimum regulatory capital that the bank requires to grant the home loan under the Basel 3 Accord? Ignore the capital conservation buffer.
A stock has a beta of 1.2. Its next dividend is expected to be $20, paid one year from now.
Dividends are expected to be paid annually and grow by 1.5% pa forever.
Treasury bonds yield 3% pa and the market portfolio's expected return is 7% pa. All returns are effective annual rates.
What is the price of the stock now?