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Portfolio Composition - September to December/2008 Current Portfolio Composition - 12/04/2008 1st. Preview of the Portfolio - January to April/2009 The Brazil Index – IBrX is an index which measures the return on a theoretical portfolio composed by 100 stocks selected among BOVESPA’s most actively traded securities, in terms of number of trades and financial value. The component stocks are weighted according to the outstanding shares’ market value.
The IBrX will consist of 100 securities chosen from a list of shares classified in descending order according to liquidity, measured by their negotiability index (considering the last twelve months). These stocks must also meet the other inclusion criteria described below.
The index portfolio will include the 100 eligible companies that meet the following criteria: a) to be among the 100-best classified stocks according to the negotiability index, measured in the last twelve months; Companies that are under judicial reorganization, have filed for bankruptcy, are under a special regime or are subject to a trading halt of its security over an extended period of time will not integrate IBrX.
A share will be excluded from the portfolio, during periodical reevaluations, if it no longer meets the criteria for inclusion. If, during the life cycle of the portfolio, the issuing company enters a regime of judicial reorganization or files for bankruptcy, its shares will be excluded from the index portfolio. In case of a public offering which results in the removal from the market of a significant proportion of shares, the company will be excluded from the portfolio. In such cases, the necessary adjustments will be made to ensure the continuity of the index.
The theoretical portfolio will be valid for four months, for the periods of January to April, May to August and September to December. The portfolio will be recalculated at the end of each four-month period, according to the procedures and criteria of this methodology.
The IBrX will measure the return on a theoretical portfolio consisting of the securities that meet all the criteria described above, which are weighted according to the respective market value of the type included in the portfolio. In order to calculate the market value for the type, only the outstanding shares will be considered. In other words, those belonging to the controller will be excluded. The base for the IBrX has been set at 1,000 points for the date of December 28th 1995, and its diffusion initiated on January 2nd 1997. In order to adapt to the initial base, the portfolio market value has been adjusted using a reducer (adjustment coefficient), designated by Initial index = Value of portfolio / The reducer for the index will be altered whenever necessary to accommodate inclusions in or exclusions from the portfolios, on the occasion of the periodical rebalancing or on the occasion of any adjustments arising from benefits/events given by the companies. The specific weight of each share in the index may be altered during the term of the portfolio, due to the price evolution of each share and/or the benefit distribution by the issuing company. When the issuing companies of component shares distribute benefits, the necessary adjustments will be made to guarantee that the index reflects not only the share price variations, but also the impact of the benefit distribution. Because of this methodology, the IBrX is considered to be an index that evaluates the total return of the shares comprising its portfolio.
BOVESPA calculates the IBrX in real time, taking into consideration the prices of the last trades carried out on the cash market (round-lot) with the component shares.
In case of suspension of a component share, the index will use the price of the last trade registered on the Exchange until the resumption of trading. If trading is not permitted for a period of 50 days, as of the date of suspension, or if there are no perspectives that trading will be resumed, or in case of rebalancing of the portfolio, the share will be excluded from the portfolio. In such a case, the necessary adjustments will be made to ensure the continuity of the index.
In the four-month rebalancing the following procedures will be adopted: 1. The rebalancing of the index's theoretical portfolio will occur after the closing of the last trading session of the four-month period and will adopt the index closing value of this day as its base. 2. Once selection (share/type) of the companies that will compose the portfolio for the coming four-month period has been concluded, the respective market value of each company/share in the share type is calculated - the product of multiplying the number of outstanding shares by their closing price -, and the results are summed up. That is, the economic value of the new portfolio is calculated according to the closing prices of the day. 3. The reducer adjusted for the new portfolio is reached by dividing the economic value, calculated in accordance with item 2, by the closing index of the four-month period. 4. The adjustment of the reducer aims to ensure the continuity of the index, in such a way that the number of index points does not change because of rebalancing. Thus, both the division of the "new market value" of the index theoretical portfolio by the new reducer, and the division of the "market value of the previous theoretical portfolio" by its respective reducer, result in the same index in terms of points.
So as to measure the total return on its theoretical portfolio, the IBrX will be adjusted for all benefits distributed by the issuing companies of the shares included in the portfolio. 1. Adjustments for benefits in shares of the same type After the last trading day prior to the benefit distribution, the market value of the component share/type is recalculated. In order to do so, the theoretical quantity adjusted to the benefit distributed and the "ex-theoretical" price of the share are used. The value thus obtained will be the basis for comparing the evolution of this share on the following trading session. Example: Let's consider company XPT which distributed a share bonus of 50% on the share type, D-0 being the last trading day before the benefit distribution.
(1) Closing position of the component share/type on the last trading day before the benefit distribution, that is, the quantity of shares before distribution of the benefit multiplied by the last asset price registered for that day. In the case of reverse splits, the theoretical quantity will be reduced on the proportion determined by the company and a special "ex-theoretical" price will be calculated in order to maintain the economic value of the component share/type unaltered. Apart from these situations, whenever the issuing company communicates the occurrence of facts that result in changes in its total share quantity (conversion of debentures into shares, cancellation of shares, conversion of one type of share into another, etc.), the relevant adjustments will be carried out.
After the closing of the trading session of the last trading day prior to benefit distribution, the market value of the component share/type is recalculated, maintaining the theoretical quantities of these shares in the portfolio unaltered and using their "ex-theoretical" price. This value will serve as a basis for comparison of the share prices evolution on the following day. Example: Let's consider company YKW which distributed a dividend of R$ 30 per share, D-0 being the last trading day before the benefit distribution.
(1) Closing position of the component share/type on the last trading day before the benefit distribution, that is, the position calculated with the last price of that day.
a) Announcement/effect of the spin-off The announcement of the issuing company's decision to make a spin-off does not alter its situation in the index theoretical portfolio. Once the spin-off has been made and while awaiting the resulting companies to be operational and registered, these companies will be considered as a trading unit and will remain in the index portfolio. For the purposes of trading on BOVESPA, the effect of the spin-off means the act by which the shares of the companies resultant from the spin-off start to be traded on the trading session.
The index theoretical portfolio will include the companies resulting from the spin-off. For example, company A was spun-off, giving rise to companies B (which holds 45% of the net worth of A), C (which holds 30%) and D (25%). Supposing that the participation of A in the index was 20%, the situations immediately prior to and subsequent to the start of trading of the spun-off companies would be as follows: Closing of the trading session prior to the start of trading of the spun-off companies:
Opening of the trading session of the first trading date of the spun-off companies:
Notes:
For the selection of the companies/shares that cumulatively meet the criteria for inclusion, the following procedures will be adopted:
Whenever a company launches a public offering that results in the acquisition of a significant proportion of the outstanding shares, BOVESPA may adopt one of the following procedures: a)
when the acquisition is lower than 2/3 (two thirds) of the outstanding shares,
removal from the index of the percentage of outstanding shares bought by the company; or In either case, an adjustment will be made to the index reducer.
a) Company with shares included in the index merges with company whose shares also belong to the index The shares of the incorporating company remain in the index and its theoretical quantity is altered in order to reflect the company’s new free float. No other company is included in substitution of the incorporated company. b) Company with shares included in the index merges with company whose shares do not belong to the index The shares of the incorporating company remain in the index and its theoretical quantity is altered in order to reflect the company’s new free float. c) Company with shares included in the index is incorporated by company whose shares are not included in the index This situation will be analyzed on a case-by-case basis, and BOVESPA may, at its own discretion:
Negotiability Index The negotiability index is calculated according to the following formula:
where: IN = negotiability index Note: In the calculation of the negotiability index, cross trades are not considered. Formula for Calculating the IBrX The IBrX may be calculated using the following formulas: a) without using the reducer:
where: IBrX (t) = index value on day "t"
where: Index t = index value at moment "t"
The theoretical quantities of the companies in the share/type (i.e. their number of outstanding shares) will remain constant during the portfolio's four month period, and will only be altered in the event of benefit distribution in shares of the same type by the issuing companies (bonuses, splits, subscription, etc.). The adjustment of the theoretical quantities in the exact proportion to the distributed benefit is carried out after the closing of BOVESPA's trading session, on the last day prior to the ex-date of the corporate action. The following formula is used: Qn = Qa * (1 + B + S) where: Qn = adjusted share quantity In the event that an approved benefit is partially homologated, or is not homologated, the quantity of shares in the portfolio will be proportionally reduced to reflect the real quantity of outstanding shares. This adjustment will be carried out on the trading session after the date of receipt, by BOVESPA, of the communication expedited by the issuing company providing information of these facts. The index reducer will be adapted so that the index value suffers no alteration. General Formula for Calculation of the "Ex-theoretical" Price
where: Pex = ex-theoretical price
Example of IBrX calculation and rebalancing For the calculation of the new portfolio all transactions carried out on BOVESPA's cash market (round lot) during the last twelve months are considered. For example purposes, the data shown below will represent the whole stock market, and the calculation of the negotiability index will be made based on the market total figures (and not based on the daily average figures).
(*) There were 250 trading sessions at the period. The first step for the index calculation consists in calculating the stock participation in terms of trading value, number of trades and trading session presence, and also to calculate their negotiability index, as shown in the table below.
(*) There were 250 trading sessions at the period. The next step is to select the stocks that will compose IBrX. In our example, the index will be composed by the top-10 stocks considering their negotiability index, which also meet the criteria of trading session presence. In order to effect the selection, the stocks must be ranked in descending order according to the negotiability index.
Based on the selected portfolio stocks and on their quotation on T+0 the calculation of the portfolio's total value and of the reducer is made, so that the index is equal to 3.500 points at the opening of the first trading session of the new portfolio.
O índice do pregão seguinte deve ser calculado considerando-se as cotações das ações componentes em D+1. Com base nesses preços, pode-se também calcular a variação do índice e as variações individuais de cada ação entre D+0 e D+1.
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