Risk and Return 2 Flashcards
(36 cards)
What is the purpose of probability analysis
The purpose of probability analysis is to enhance decision-making by evaluating not just the potential outcomes, but also likelihood of those outcomes occuring
What does probability analysis do that sensitivity analysis doesn’t
Unlike sensitivity analysis - it quantifies risk and enables objective comparison across projects
What are the key concepts of probability analysis
Key concepts of probability analysis are:
- Expected Return (Er)
- Standard Deviation (σA)
What is expected return
Expected return is a weighted average of potential returns, each multiplied by the probability of occurrence
ErA =
ErA = ∑(p ⋅ Ra)
What is standard deviation
Standard deviation is a measure of risk or variability in returns
What does a project having a higher standard deviation mean
Projects with higher standard deviation are riskier
σA =
σA = √∑p(ra - Era)↑2
What are the strengths of probability analysis
Strengths of probability analysis are: Incorporates both extent and likelihood of risk; supports rational comparisons
What are the weaknesses of probability analysis
The weaknesses of probability analysis are: Relies on normal distribution; requires subjective probability estimates
What type of risks do investors provide
Investors prefer lower risk for a given level of return
How should company directors act
Company directors should act on behalf of shareholders’ risk appetite, not their own
CoV =
CoV = σ/Er
What does the CoV standardise the risk of
CoV standardizes risk per unit of return
When is CoV useful
CoV is useful when comparing projects with different expected returns
How is lower CoV preferable for
Lower CoV = preferable for risk-averse decision makers
Who may higher CoV appeal to
Higher CoV = may appeal to risk-tolerant stakeholders
Who developed modern portfolio theory (MPT)
MPT was developed by Harry Markowitz (1952)
What are the core principles of MPT
MPT core principles: Investors are rational and make decisions using mean-variance analysis
Expected return of a portfolio =
Expected return of a portfolio = weighted average of returns
Risk of a portfolio <
Risk of a portfolio < weighted average of individual risks
What does correlation coefficient (p) determine
Correlation Coefficient (p): Determines how much diversification reduces risk
p = +1 -
p = +1 - no risk reduction
p = -1 -
p = -1 - maximum risk reduction