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Example of the optimal Kelly betting fraction, versus expected return of other fractional bets. In probability theory, the Kelly criterion (or Kelly strategy or Kelly bet) is a formula for sizing a sequence of bets by maximizing the long-term expected value of the logarithm of wealth, which is equivalent to maximizing the long-term expected geometric growth rate.
All superlative indices produce similar results and are generally the favored formulas for calculating price indices. [14] A superlative index is defined technically as "an index that is exact for a flexible functional form that can provide a second-order approximation to other twice-differentiable functions around the same point." [15]
Stock market indices may be categorized by their index weight methodology, or the rules on how stocks are allocated in the index, independent of its stock coverage. For example, the S&P 500 and the S&P 500 Equal Weight each cover the same group of stocks, but the S&P 500 is weighted by market capitalization, while the S&P 500 Equal Weight places equal weight on each constituent.
Forward prices of equity indices are calculated by computing the cost of carry of holding a long position in the constituent parts of the index. This will typically be the risk-free interest rate, since the cost of investing in the equity market is the loss of interest minus the estimated dividend yield on the index, since an equity investor receives the sum of the dividends on the component ...
S&P 500 Futures are financial futures which allow an investor to hedge with or speculate on the future value of various components of the S&P 500 Index market index. S&P 500 futures contracts were first introduced by the Chicago Mercantile Exchange in 1982. The CME added the e-mini option in 1997.
Apart from being a trend strength gauge, ATR serves as an element of position sizing in financial trading. Current ATR value (or a multiple of it) can be used as the size of the potential adverse movement (stop-loss distance) when calculating the trade volume based on trader's risk tolerance. In this case, ATR provides a self-adjusting risk ...
The value of a pip depends on the currency pair, the exchange rate, and the size of the trade position (usually measured in lots). [5] If the U.S. dollar is the quote currency (the second of the pair), such as with the EUR/USD pair, the pip is fixed at .0001. In this case, the value of one pip is calculated by multiplying the lot size by 0.0001.
Alternatively, the index can be expressed per 10,000 "points". For example, an index of .25 is the same as 2,500 points. The major benefit of the Herfindahl index in relation to measures such as the concentration ratio is that the HHI gives more weight to larger firms. Other advantages of the HHI include its simple calculation method and the ...