Chapter 14 Flashcards
(116 cards)
What is an investment index?
An investment index represents the relative changes in the share/stock prices of the constituent companies or stocks which make up the index.
What is the general formula for weighted arithmetic indices?
I(t) = Σ (Pj * wj) / K
What do the variables Pj, Pj0, and wi represent in the weighted arithmetic index formula?
- Pj: price of the jth constituent at time t
- Pj0: price of the jth constituent at time 0
- wi: weight applied to the jth constituent
How are weights determined for investment indices?
The weights used are the market capitalisations of the constituents, usually at time 0.
What is the purpose of the constant K in the index formula?
The constant K is fixed when the index is first set up, often to start at a round number like 100 or 1,000.
What is ‘free float’ in the context of share indices?
The free float of a share is the proportion of shares that are freely available for purchase on the open market.
What is chain-linking in investment indices?
Chain-linking is the process that ensures the index reflects the new market capitalisation of the constituents without being disturbed by changes in capital structure.
True or False: Rights issues increase the index value.
False
What is the formula for the investment index after allowing for chain-linking?
I(t) = Σ (Ni * Pj) / B(t)
What is the ex-dividend (XD) adjustment?
The XD adjustment represents the amount of income that has been received since the start of the year by the capital value index.
What is the purpose of a total return index?
A total return index combines capital appreciation and income received to provide a comprehensive measure of investment performance.
How is the total return from time t-1 to time t calculated?
TRI(t) = TRI(t-1) * (I(t) - XD(t-1))
What assumptions are made when calculating the total return index?
- Dividends are subject to the assumed rate of tax
- No expenses or losses incurred in reinvesting the dividends
Fill in the blank: The formula to obtain a total return index at time t is TRI(t) = TRI(t - 1) + _______.
XD(t - 1)
List three circumstances in which chain-linking would be required.
- Rights issues
- Stock splits
- Mergers and acquisitions
What does the holding period return measure?
The holding period return measures the total return from holding an investment over a specified period.
What is the relationship between market price, dividend, and total return?
Total return = (Market Price - Dividend) / Previous Market Price
What must be considered when using published total return indices?
The tax and reinvestment assumptions used in the calculation of the index.
True or False: Total return indices account for income received by the investor.
True
What is the significance of the XD adjustment being reset to zero at the year end?
The XD adjustment reset allows for a new accumulation of dividends to be tracked for the next year.
What is the effect of reinvesting dividends on total return?
Reinvesting dividends increases the number of shares held and thus the total return.
What is the formula for the total return index (uscd)?
The formula is (Capital Gain + Income) / Starting Value
Why is the XD adjustment often negligible?
Because of the small size of the XD adjustment relative to the capital index.
What should be understood when using a published total return index?
The tax and reinvestment assumptions used in the calculation of the index.