Diversification is achieved by investing in a large amount of stocks. What type of risk is reduced by diversification?
A stock's correlation with the market portfolio increases while its total risk is unchanged. What will happen to the stock's expected return and systematic risk?
Question 100 market efficiency, technical analysis, joint hypothesis problem
A company selling charting and technical analysis software claims that independent academic studies have shown that its software makes significantly positive abnormal returns. Assuming the claim is true, which statement(s) are correct?
(I) Weak form market efficiency is broken.
(II) Semi-strong form market efficiency is broken.
(III) Strong form market efficiency is broken.
(IV) The asset pricing model used to measure the abnormal returns (such as the CAPM) had mis-specification error so the returns may not be abnormal but rather fair for the level of risk.
Select the most correct response:
A four year bond has a face value of $100, a yield of 9% and a fixed coupon rate of 6%, paid semi-annually. What is its price?
You're thinking of starting a new cafe business, but you're not sure if it will be profitable.
You have to decide what type of cups, mugs and glasses you wish to buy. You can pay to have your cafe's name printed on them, or just buy the plain un-marked ones. For marketing reasons it's better to have the cafe name printed. But the plain un-marked cups, mugs and glasses maximise your:
What is the correlation of a variable X with itself?
The corr(X, X) or ##\rho_{X,X}## equals:
Question 703 utility, risk aversion, utility function, gamble
Mr Blue, Miss Red and Mrs Green are people with different utility functions.
Each person has $500 of initial wealth. A coin toss game is offered to each person at a casino where the player can win or lose $500. Each player can flip a coin and if they flip heads, they receive $500. If they flip tails then they will lose $500. Which of the following statements is NOT correct?
Question 793 option, hedging, delta hedging, gamma hedging, gamma, Black-Scholes-Merton option pricing
A bank buys 1000 European put options on a $10 non-dividend paying stock at a strike of $12. The bank wishes to hedge this exposure. The bank can trade the underlying stocks and European call options with a strike price of 7 on the same stock with the same maturity. Details of the call and put options are given in the table below. Each call and put option is on a single stock.
European Options on a Non-dividend Paying Stock | |||
Description | Symbol | Put Values | Call Values |
Spot price ($) | ##S_0## | 10 | 10 |
Strike price ($) | ##K_T## | 12 | 7 |
Risk free cont. comp. rate (pa) | ##r## | 0.05 | 0.05 |
Standard deviation of the stock's cont. comp. returns (pa) | ##\sigma## | 0.4 | 0.4 |
Option maturity (years) | ##T## | 1 | 1 |
Option price ($) | ##p_0## or ##c_0## | 2.495350486 | 3.601466138 |
##N[d_1]## | ##\partial c/\partial S## | 0.888138405 | |
##N[d_2]## | ##N[d_2]## | 0.792946442 | |
##-N[-d_1]## | ##\partial p/\partial S## | -0.552034778 | |
##N[-d_2]## | ##N[-d_2]## | 0.207053558 | |
Gamma | ##\Gamma = \partial^2 c/\partial S^2## or ##\partial^2 p/\partial S^2## | 0.098885989 | 0.047577422 |
Theta | ##\Theta = \partial c/\partial T## or ##\partial p/\partial T## | 0.348152078 | 0.672379961 |
Which of the following statements is NOT correct?
Question 851 labour force, no explanation
Below is a table showing some figures about the Australian labour force.
Australian Labour Force and Employment Data | |
April 2017 Seasonally Adjusted figures | |
Employed persons ('000) | 12 061.9 |
Unemployed persons ('000) | 751.4 |
Unemployment rate (%) | 5.9 |
Participation rate (%) | 64.8 |
Source: ABS 6202.0 Labour Force, Australia, Apr 2017
What do you estimate is the size of working age population in thousands (‘000)?