Chapter 15: Investment indices Flashcards
Construction of indices
Weighted arithmetic indices
- Chain-linking
Total return indices
- XD adjustment
- Yield adjustment
Unweighted arithmetic indices
Geometric indices
Weights are often restricted to reflect the free float of shares available for purchase, thereby…
eliminating strategic holdings
Free float
The proportion of shares that’re freely available for purchase on the open market.
Chain-linking process is set up so that:
- the index reflects the new market capitalisation of the constituents
- the index value is not disturbed by the change in capital structure of its constituents
Aim of index: Reflect the investment performance of its constituents.
Circumstances in which chain-linking would be required
- rights issue or share buy-back by constituent company
- new issue of a share in the sector covered by the index (newly formed company, privatisation, demutualisation)
- merger, takeover or break-up involving constituent company or companies
- change in constituent companies in an index, resulting from a change in relative market capitalisations due to share price movements (e.g. 100th largest falls out of the index)
Holding period return
(P1+d)/P0 -1
- P0 and P1 are values of the investment at beginning and end of the period
- d is the income generated by the investment over the period
When do you assume the dividends are reinvested?
Usual assumption is to use the ex-dividend date. This may lead to problems if the index is used by index tracking funds, since the tracking funds will not be able to reinvest the dividends until actually received.
Unweighted arithmetic indices
AKA price weighted indices.
It is the arithmetic average of the relative price changes of the constituents.
Unsuitable as a benchmark for dynamic institutional portfolios.
Why are unweighted arithmetic indices unsuitable as a benchmark for dynamic institutional portfolios?
Because the performance of any investment portfolio will reflect the actual weights (i.e. market capitalisations) of the constituent investments held within that portfolio which are unlikely equal.
Merits of an unweighted geometric index
- Easy to calculate (only need price data)
- Gives an indication of short-term price movements
- Unsuitable as a benchmark for an investment strategy or portfolio investment measurement (if one price goes to zero, the whole index does)
- Constituents need to be changed to avoid this happening
The uses to which indices can be put
FINDS Best Hidden Spots
- Future movements (tool for estimating based on past trends)
- Index funds (basis for these funds)
- Notional portfolio (valuing it)
- Derivatives -basis for the creation relating to market or sub-sector of market
- Sub-sector analysis
- Short-term market movements (measure)
- History of market movements and levels given
- Benchmark against which to assess investment performance of portfolios
+SAGS (for government bond indices)
- Standard - to compare yields from other fixed interest investments
- Approximate - valuation of fixed interest portfolios
- Gap (yield gap between bonds and equities)
- Structures - picture of general yield structures of fixed interest investments
Relevance of indices
- investor’s investment objectives specified with reference to one or more indices
- used in development of appropriate portfolio to best achieve those investment objectives
- used to value the portfolio and provide benchmark for performance monitoring
Factors to consider when specifying/creating/using an index
- purpose of index
- constituents and basis for inclusion/exclusion
- type of index (e.g. weighted arithmetic)
- frequency of calculation
- price data to use (e.g. mid-market prices)
- how to deal with capital changes (e.g. chain-linking)
- what to do about income (e.g. XD adjustments, total return indices), how to deal with tax, when to credit income, when to reinvest, etc.
Index fit for purpose
When an index is used to model a real world situation, important to ensure the constituents of the index are good match for the real world situation being modelled.
UK Equity Indices
FTSE UK Index Series
Market capitalisation weighted arithmetic indices. In addition to capital and total return index numbers they give:
- Average net dividend cover
- Actual dividend yield
- Price earnings ratio
- Ex-dividend adjustment
Specific Indices:
- FTSE 100 Index
- FTSE 250 Index
- FTSE 350 Supersectors Indexes
- FTSE SmallCap Index
- FTSE All-Share Index
- FTSE Fledgling Index
- FTSE AIM Index Series
US equity indices
- Dow Jones - unweighted index
- Standard and Poor’s (S&P 500) - weighted arithmetic index
- NASDAQ
Equity indices for Japan
- Nikkei - arithmetic index
- Topix - market capitalisation arithmetic index reflecting free float (more comprehensive and suitable for performance measurement than Nikkei)
Equity indices for Europe
- DAX (Germany) - real-time total return index
- CAC (France) - CAC 40 vehicle for an index futures contract
- FTSE Eurotop 100
- FTSEurofirst 300
- Eurobloc equivalents
- Dow Jones Eurostoxx 50
Volatility indices
Used as an indication of market’s perception of risk
VIX
- weighted average of prices for a range of 30-day expiry put and call options on the S&P 500 index.
- Level of the index, which is quoted in annualised percentage terms, is the risk neutral expectation of the volatility on the S&P 500 index over a 30 day period