Chapter 7 Flashcards
What is the formula for standard deviation?
sqrt((Sum(r-rbar)^2)/n)
When it comes to probabilities, what % of the outcomes is:
1 standard deviation from the mean?
1.65 standard deviation from the mean?
1.96 standard deviation from the mean?
2.58 standard deviation from the mean?
68.3%
90%
95%
99%
Who developed modern portfolio theory?
This was Markowitz
What was Markowitz modern portfolio theory all about?
It is about how diversification can maximise returns for a given level of return.
What are the assumptions of the modern portfolio theory?
It assumes that all investors are risk averse, rational, and also perfectly diversified in their assets.
What is the efficient frontier?
The efficient frontier is the most efficient combination of assets that will maximise returns for a given level of risk
What are the X and Y axis of the efficient frontier?
The Y axis is the expected return and the x axis is the standard deviation
What concept do we have to use to identify the optimal set of assets for an investor?
We will use utility.
We use utility to understand which sets of assets are the most suitable for a specific investor.
Who introduced the risk free asset into modern portfolio theory?
Sharpe introduced the risk free asset.
What changes to efficient frontier did the introduction of the risk free asset bring?
As we introduce the risk free asset into the efficient frontier graph, we will see that instead of the linear capital allocation line starting at 0, it will now start at an expected return that is higher than 0%
Why did Sharpe say that all investors will choose the CML market portfolio?
He said so as that for regardless of the risk attitude of the investor, they will receive higher returns than being on any other portfolio.
The optimal portfolio is always tangent to the efficient frontier.
How do we work out the slope of the CAL?
This is the Sharpe ratio!
(Rp-Rf)/(stdv(m))
What two risk components does assets have (broadly)?
Systematic and unsystematic risk
Which statistical method is used to ensure that we have diversification benefits?
We use covariance, and we want assets that have a low covariance with one another
What is the formula for covariance?
(SDa)(SDb)(correlation coefficient)
What does the efficient market hypothises weak form mean?
This means that all prices reflect all past market information.
It is not possible to predict future price changes based on past price changes. Price changes are random
What is a random walk?
An random walk is the theory that yesterdays returns can not explain tomorrows returns.
What does the efficient market hypothises semi-strong form mean?
This means that prices reflect all past market and publicly available information and that stock prices will react to news and adjust to a new level (instantly)
This means that it is not possible to beat the market by using fundemental analysis
What does the Efficient markets hypothesis strong form mean?
This means that all public and private information is reflected in the prices.
What does CAPM measure?
It measures systematic risk of the portfolio compared to the benchmark portfolio
What beta does the market protfolio have by default?
A beta of 1
What is the CAPM formula?
E(r) = Rf + Bp(Rm-Rf)
What are the axis of the securities market line?
The Y axis is expected return and the X axis is the beta
What do we use to produce the securities market line?
We use the CAPM formula
What is the slope of the securities market line?
It is the treynor ratio:
(Rp-Rf)/Bp
If a return is below the SML is this good or bad, and why?
THis is bad as it means that we are getting a lower return for a given level of risk.
What are the assumptions of CAPM?
Investors are rational and risk averse
Markets are perfectly liquid
All securities are fairly valued
All market participants can borrow and lend unlimited amounts at the risk free rate
All market participants are well diversitied
No taxes or transaction costs
What are the limitations of CAPM?
Single period (one year) model
Diversified portfolio only
The models assumptions are its biggest limitation
Market risk can be difficult to establish
Poor predictor of investment returns
What is the R-squared if the correlation coefficient is 0.9?
Correlation coefficient ^ 2 = R^2
0.9^2 = 0.81%
What is the Jensen’s measure/alpha and what does it tell us?
The Jensen’s measure/alpha is a way to see if the return we received is more or less than what we should have expected from the CAPM.
Jensen measure = Rp - Rcapm
If Jensen’s measure is positive we have outperformed and if it is below, we have underperformed
What is the information ratio?
The information ratio is a way to measure the skill of a fund manager. If it has a high value (high expected excess returns and low SD of excess returns) it shows that the fund manager is consistent in their investment returns.
The formula is:
Expected excess returns / SD of excess returns
What is the Sharpe Ratio?
The sharpe ratio is a reward to variability ratio (also the slope of the CML).
It measures the excess return above the risk free rate a portfolio achieves per unit of risk:
Sharpe = (“Mean return to the portfolio” - “Mean risk free rate”)/”Standard deviation of the portfolio”
What is the Treynor ratio?
The treynor ratio isa reward to variability ratio and is also the slope of the SML.
It is a measure of the excess return above the risk free rate a portfolio achieves per unit of systematic risk.
Treynor = (“Mean return of portfolio”-“Mean risk free rate”)/”Portfolio Beta”
What are the three main portfolio return calculations in PCIAM?
- Holding period return
- Money weighted rate of return
- Time weighted rate of return
What is the holding period of return?
The holding period of return is just a simple return calculation (what we had at the beginning compared to the end and express it as a %)
This does not account for time value of money, and is not time sensitive (return could be over days, months, or years and it would not make a difference)
What is the time weighted rate of return?
This return calculation is a geometric calculation that removes the impact of cash flows on the return calculation
Which portfolio return calculation is most often used to assess a fund manager?
The Time weighted rate of return
What is the formula for the holding period return?
HPR = (dividend (Value end - Value start))/Value start) * 100
How do we calculate the Time weighted rate of return?
We find the return for each period and multiply it with one another to get the geometric return
How do we calculate the money weighted rate of return?
(“Ending value of investment”-“Opening value”-“Further investment”)/”opening value of investment” + “”% part it has been part of the total investment time”*Further investment”)
What is a structured product?
This is a pre-packaged investment based on assets and is designed to provide highly customised risk/return period.
What is the normal term of a structured product?
They are normally fixed term wth a lock in period of commonly 5 years.
How does structured index trackers work?
It replicated the performance of the underlying indices and will pay out interest if the indices are above a predetermined level.
What is special about a reverse tracker (structure products)?
If the underlying index falls, the tracker will rise