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.
Portfolio Details  
Stock  Expected return 
Standard deviation 
Correlation ##(\rho_{A,B})##  Dollars invested 

A  0.1  0.4  0.5  60  
B  0.2  0.6  140  
What is the standard deviation (not variance) of returns of the above portfolio?
Find the sample standard deviation of returns using the data in the table:
Stock Returns  
Year  Return pa 
2008  0.3 
2009  0.02 
2010  0.2 
2011  0.4 
The returns above and standard deviations below are given in decimal form.
Let the standard deviation of returns for a share per month be ##\sigma_\text{monthly}##.
What is the formula for the standard deviation of the share's returns per year ##(\sigma_\text{yearly})##?
Assume that returns are independently and identically distributed (iid) so they have zero auto correlation, meaning that if the return was higher than average today, it does not indicate that the return tomorrow will be higher or lower than average.
Question 308 risk, standard deviation, variance, no explanation
A stock's standard deviation of returns is expected to be:
 0.09 per month for the first 5 months;
 0.14 per month for the next 7 months.
What is the expected standard deviation of the stock per year ##(\sigma_\text{annual})##?
Assume that returns are independently and identically distributed (iid) and therefore have zero autocorrelation.
Question 556 portfolio risk, portfolio return, standard deviation
An investor wants to make a portfolio of two stocks A and B with a target expected portfolio return of 12% pa.
 Stock A has an expected return of 10% pa and a standard deviation of 20% pa.
 Stock B has an expected return of 15% pa and a standard deviation of 30% pa.
The correlation coefficient between stock A and B's expected returns is 70%.
What will be the annual standard deviation of the portfolio with this 12% pa target return?
Question 559 variance, standard deviation, covariance, correlation
Which of the following statements about standard statistical mathematics notation is NOT correct?
The standard deviation and variance of a stock's annual returns are calculated over a number of years. The units of the returns are percent per annum ##(\% pa)##.
What are the units of the standard deviation ##(\sigma)## and variance ##(\sigma^2)## of returns respectively?
Hint: Visit Wikipedia to understand the difference between percentage points ##(\text{pp})## and percent ##(\%)##.
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?
Question 834 option, delta, theta, gamma, standard deviation, BlackScholesMerton option pricing
Which of the following statements about an option (either a call or put) and its underlying stock is NOT correct?
European Call Option  
on a nondividend paying stock  
Description  Symbol  Quantity 
Spot price ($)  ##S_0##  20 
Strike price ($)  ##K_T##  18 
Risk free cont. comp. rate (pa)  ##r##  0.05 
Standard deviation of the stock's cont. comp. returns (pa)  ##\sigma##  0.3 
Option maturity (years)  ##T##  1 
Call option price ($)  ##c_0##  3.939488 
Delta  ##\Delta = N[d_1]##  0.747891 
##N[d_2]##  ##N[d_2]##  0.643514 
Gamma  ##\Gamma##  0.053199 
Theta ($/year)  ##\Theta = \partial c / \partial T##  1.566433 
Which of the following statements about an asset’s standard deviation of returns is NOT correct? All other things remaining equal, the higher the asset’s standard deviation of returns: