11 The performance of investments Flashcards
(28 cards)
Past performance data is essential for:
- Understanding markets
- Assessing/rewarding managers
- Charging performance-related fees
What does performance evaluation determine?
- Did the investment manager add value?
- How did they achieve the calculated return?
How is holding period return expressed?
% of the initial investment
What does MWR measure?
Overall return over a specific period
What does TWR measure?
Relative performance of different managers
MWR can also refer to…
Internal rate of return (IRR)
What is the equation for holding period return?
R = (V₁ + D - V₀) / V₀
What is the equation for money weighted return?
MWR = (V₁ + D - V₀ - C) / V₀ + (C × n ÷ 12)
Why is MWR not a good way to compare different portfolios?
It’s strongly influenced by timing of cashflows, which is up to the client, not the manager
What is the equation for time weighted return?
(1 + r₁) x (1 + r₂) … -1
What is the equation for annual time weighted return?
(1 + TWR)¹/ⁿ -1
What are two ways risk can be measured?
- Volatility, measured by standard deviation
- Systematic/market risk, beta (ß)
What are three ways to measure risk-adjusted returns?
- Sharpe ratio
- Alpha (α)
- Information ratio
What is the formula for the Sharpe ratio?
(R - Rf) / standard deviation of R
What is Jensen’s alpha (α)?
The difference between expected return, according to beta, and actual return
What does Jensen’s alpha (α) measure?
The ‘value added’ by the fund manager
What is the formula for Jensen’s alpha (α)?
α = R - [Rf + ßi (Rm – Rf)]
What is the formula for the information ratio?
(Rp - Rb) / tracking error
What is the tracking error?
The difference between the index return and a tracker fund’s return
How do you calculate the contribution of an asset class to a portfolio’s overall performance?
Multiply the asset allocation % by the class’s performance %
What does the Sharpe ratio measure?
The excess return for every unit of risk taken
What is the Sharpe ratio used for?
Comparing investments to see which offers the most return for a given amount of risk
A high Sharpe ratio means…
Better risk-adjusted performance
What does a positive α mean?
The manager has outperformed the market, adjusting for ß