Tuesday, February 11, 2014

Rebalancing: Strategy, Factors, and Corridor

Rebalancing: Strategy
Rebalancing: StrategyConstant MixConstant Proportion (e.g., CPPI)Buy and Hold


Optimal for investors with a floor value?
a floor value which limits his or her willingness to take risks if one's portfolio declines below that valuefloor value >= 0
Optimal for investors with absolute risk tolerance that:
  • varies proportionately with wealth
  • 0 < one's multiplier < 1

  • varies by more than any change in one's wealth 
  • one's multiplier > 1
  • one's multiplier = 1
    GOOD performance if markets areUps and downs (mean-reversion, or "volatile" markets)Trending (with no or few reversals)in the middle of Constant Mix and Constant Proportion
      POOR performance if markets areTrending (with no or few reversals)Ups and downs in the middle of Constant Mix and Constant Proportion
        Payoff CurveConcave (*1)ConvexLinear

        Also, Calendar Strategy's Rebalancing Frequency depends on volatility of asset class in the portfolio.

        (*1) It supplies liquidity to the market, in effect "selling insurance" by taking the less popular side of trades when the market is trending up or down.

        Rebalancing: Factors
        #Factor
        1VolatilityHighLow
        2FrequencyInfrequentAppropriately frequentToo frequent
        Market Impact / Trading CostHigh
        • Asset mix can drift to the point where rebalancing could create a market impact, thus increasing the cost of trading dramatically.
        Low
        • Market impact will be lower with more frequent rebalancing.
        High
        • Portfolio could incur numerous costly small trades to achieve minor adjustments in the asset mix.


        Rebalancing: Corridor
        #

        1Risk toleranceHigh
        2Flexibility for the asset allocation relative to the target mixHigh
        3Volatility
        LowHigh
        4Correlation with the rest of the portfolio
        HighLow
        5Transaction Cost
        HighLow
        Rebalancing Corridor WidthWideWideNarrow (*2)
        (*2) The narrow corridor means that small changes in value may necessitate rebalancing.

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