action portfoliooptimizer_post_portfolio_analysis_sharpe_ratio_bias_adjusted {
  label: "Bias-Adjusted Sharpe Ratio"
  description: "Compute the Sharpe ratio of one or several portfolio(s), adjusted for small sample bias.\n\nReferences\n* [Opdyke, J., Comparing Sharpe ratios: So where are the p-values?. J Asset Manag 8, 308–336 (2007)](https://link.springer.com/article/10.1057/palgrave.jam.2250084)\n"
  provider: portfoliooptimizer
  method: POST
  path: "/portfolio/analysis/sharpe-ratio/bias-adjusted"
  encoding: json
  input: {
    type: "object"
    required: ["portfolios", "riskFreeRate"]
    properties: {
      portfolios: {
        type: "array"
        items: {
          type: "object"
          required: ["portfolioValues"]
          properties: {
            portfolioValues: {
              type: "array"
              description: "portfolioValues[t] is the value of the portfolio at the time t"
              items: {
                type: "number"
              }
            }
          }
        }
      }
      riskFreeRate: {
        type: "number"
        description: "The risk free rate"
      }
    }
  }
  output: {
    type: "object"
    required: ["portfolios"]
    properties: {
      portfolios: {
        type: "array"
        items: {
          type: "object"
          required: ["portfolioBiasAdjustedSharpeRatio"]
          properties: {
            portfolioBiasAdjustedSharpeRatio: {
              type: "number"
              description: "The bias-adjusted Sharpe ratio of the portfolio"
            }
          }
        }
      }
    }
  }
}