1001Ferramentas
📋 Calculators

Modified Dietz Return

Computes a portfolio's return with the Modified Dietz method, which adjusts the result for deposits and withdrawals made mid-period. Instead of ignoring the cash that came in and out, it weights each flow by the time it stayed invested: R = (ending value − beginning value − flow)/(beginning value + flow·weight). It's an approximation of the time-weighted return widely used by managers before the era of daily calculation. Enter the beginning value, the ending value, the net flow and the flow's weight in the period.

Result

Modified Dietz Return

Computes a portfolio's return with the Modified Dietz method, which adjusts the result for deposits and withdrawals made mid-period. Instead of ignoring the cash that came in and out, it weights each flow by the time it stayed invested: R = (ending value − beginning value − flow)/(beginning value + flow·weight). It's an approximation of the time-weighted return widely used by managers before the era of daily calculation. Enter the beginning value, the ending value, the net flow and the flow's weight in the period.

The honest return when money comes and goes

Measuring a portfolio's return seems trivial: take the ending value, divide by the beginning value, done. The problem shows up when you deposit or withdraw money along the way. A deposit inflates the ending value without that being profit; a withdrawal does the opposite. The Modified Dietz method corrects that distortion without needing the portfolio's value every single day.

The idea is to weight each flow by the time it stayed invested. A deposit made on day one worked the whole period; one made the day before close barely counted. The formula subtracts the flow from the gain in the numerator and adds it, weighted, to the average capital in the denominator. The result is a good approximation of the time-weighted return, which was the standard before systems calculated everything daily.

Enter the beginning value, the ending value, the period's net flow (deposit positive, withdrawal negative) and the flow's weight, which is the fraction of the period it was present. The tool returns the return as a percentage. Remember accuracy drops when flows are large and the market swings a lot within the period.

Related Tools

📊

Modigliani M² Measure

Computes Modigliani's M² measure (also M-squared or RAP), which translates the Sharpe ratio back into percentage points of return. The idea is plain: scale the portfolio to the market's volatility and ask what it would have returned under those conditions, M² = Rf + (Rp − Rf)·(σmarket/σportfolio). Unlike the Sharpe ratio, a bare number, M² compares directly against the benchmark's return. Above the market return, the portfolio beat the benchmark on a risk-adjusted basis. Enter the portfolio return and volatility, the risk-free rate and the market volatility.

🔄

Portfolio Turnover Ratio

Computes the turnover ratio of a portfolio or fund: the lesser of total purchases and total sales over the period, divided by average net assets, as a percentage. It's the standard measure of how much a portfolio is traded — a turnover of 100% means that, on average, the whole portfolio was swapped once in the year. High turnover usually signals more transaction costs and taxes. Enter total purchases, total sales and average net assets.

📉

Parametric Expected Shortfall (CVaR)

Computes the Expected Shortfall (ES), also known as CVaR, by the parametric Gaussian method. While VaR answers what the minimum loss is in the worst cases, ES goes further and answers what the average loss is when the worst happens, summing what lies in the tail beyond the VaR. The formula is −μ + σ·φ(Φ⁻¹(c))/(1−c), with Φ⁻¹ the inverse normal. It's a coherent risk measure, required under Basel, precisely because it captures the severity of extreme losses. Enter the mean return, the standard deviation of returns and the confidence level.

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.