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🎯 Calculators

Appraisal Ratio (Treynor-Black)

Computes the Treynor-Black appraisal ratio: a manager's alpha divided by the standard deviation of residual risk, the part not explained by the market. It measures the quality of security selection per unit of specific risk taken, and is the central metric for deciding how much to allocate to an active strategy. The higher it is, the better the manager extracts abnormal return without taking on too much diversifiable risk. Enter the alpha and the residual standard deviation.

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Appraisal Ratio (Treynor-Black)

Computes the Treynor-Black appraisal ratio: a manager's alpha divided by the standard deviation of residual risk, the part not explained by the market. It measures the quality of security selection per unit of specific risk taken, and is the central metric for deciding how much to allocate to an active strategy. The higher it is, the better the manager extracts abnormal return without taking on too much diversifiable risk. Enter the alpha and the residual standard deviation.

How much the manager gets right per unit of bet

A manager can deliver alpha, return above what the market would explain, but at what risk cost? The appraisal ratio, created by Treynor and Black, answers this by dividing alpha by the standard deviation of residual risk, the part of volatility that comes from the manager's specific bets rather than the market. It's the efficiency of security selection.

The number has a powerful practical use: in Treynor-Black theory, it determines exactly how much money is worth allocating to a manager's active portfolio versus the passive index. The higher the appraisal ratio, the more weight the active strategy deserves. It's the rigorous way to separate skill from luck levered by risk.

Enter the alpha and the residual standard deviation, in the same units. The tool returns the appraisal ratio. Remember it depends on a reliable estimate of alpha and residual risk, usually obtained from a regression of the manager's returns against the market, so the quality of the input data is everything.

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Sterling Ratio

Computes the Sterling ratio, a drawdown-adjusted performance measure. It divides return by a measure of how much the portfolio typically falls from peak to trough, rewarding strategies that deliver return without big drops. The tool shows two versions: the modern one, using excess return over the risk-free rate divided by the average drawdown, and the original Deane Sterling Jones form, which adds a ten percent constant to the denominator. Enter the annualized return, the risk-free rate and the average annual maximum drawdown.

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Burke Ratio

Computes the Burke ratio: the excess return over the risk-free rate divided by the square root of the sum of squared drawdowns. Unlike the Sharpe ratio, which penalizes all volatility, Burke focuses only on the falls, and by squaring each drawdown it punishes deep falls more than shallow ones. It's one of the tail-risk-adjusted performance metrics. Enter the portfolio return, the risk-free rate and the list of drawdowns in percent.

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Tail Ratio

Computes the tail ratio of a return series: the absolute value of the 95th percentile divided by that of the 5th percentile. It compares the size of extreme gains with extreme losses — a tail ratio above one means the right tail (gains) is larger than the left (losses), a desirable asymmetric profile. Below one, extreme losses dominate. It's a quick snapshot of the asymmetry at the ends of the distribution. Enter the list of returns separated by commas.

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Martin Ratio (UPI)

Computes the Martin ratio, also called the Ulcer Performance Index (UPI): the excess return over the risk-free rate divided by the ulcer index. The ulcer index is the root mean square of drawdowns, a measure of how deep and how long the portfolio stays below its peaks. The Martin ratio thus rewards the return earned per unit of that tail pain. Enter the portfolio return, the risk-free rate and the ulcer index, all in percent.

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RVPI (Residual Value to Paid-In)

Computes the RVPI of a private equity fund: the residual value in the portfolio (NAV) divided by the paid-in capital. It's the unrealized multiple, how much is still alive in the holdings the fund hasn't sold, waiting to turn into cash. In a fund's early years, RVPI dominates; as it divests, RVPI falls and DPI rises. The sum of the two is the TVPI. Enter the NAV and the paid-in capital.

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Down Capture Ratio

Computes a portfolio's down capture ratio: how much it fell alongside the benchmark during periods when the index dropped, by the geometric compounded method. Here, less is better — a value below one hundred percent means the portfolio lost less than the market in declines, a sign of good protection. A negative value means the portfolio rose while the market fell. Together with up capture, it describes the manager's asymmetric profile. Enter the lists of portfolio and benchmark returns.

The results provided by this tool are for general informational and educational purposes only and do not constitute professional, financial, medical, legal, tax or accounting advice. Always confirm important decisions with a qualified professional and official sources.