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Position Sizing

The decision of how much capital to allocate to each holding in a portfolio, which determines realised risk and return as much as the choice of which stocks to hold.

Selection tells you what to own. Position sizing tells you how much. Two strategies can pick the exact same 30 stocks on the same day and produce very different return series, because one put 20 percent into its top name and the other spread 3.3 percent across all of them.

In a systematic strategy, sizing is a rule rather than a judgement call. It has three parts: a weighting scheme that converts your selected list into target weights, a set of constraints that caps what any single position or group can become, and a rebalance schedule that decides when actual weights are pulled back toward targets.

Weighting schemes

SchemeSizing driverSuits
Equal1 / NNo view on relative attractiveness within the selection
FixedWeights you specifyA deliberate, hand-set allocation
Market capFree-float sizeBenchmark-relative strategies, large capital
Inverse volatility1 / σEqualising standalone risk per holding
Minimum varianceCovariance optimiserLowest forecast portfolio volatility
Risk parityCovariance optimiserEqual risk contribution per holding
Hierarchical risk parityClustered covarianceRisk parity without matrix inversion
Score proportionalRaw factor scoreLetting conviction scale the position
Normalised scoreRescaled scoreScore weighting with bounded extremes
Rank proportionalRank orderScore weighting that ignores score magnitude

Sizing in rupees

Target weights become order quantities only after capital and lot constraints are applied. On a ₹10 lakh portfolio a 4 percent target is ₹40,000; in a stock trading at ₹2,850 that is 14 shares, and the rounding leaves you at 3.99 percent rather than 4.00 percent. On smaller accounts this rounding drag is meaningful, and a 50-stock equal-weight portfolio on ₹2 lakh means ₹4,000 per position, which cannot buy a single share of several Nifty 50 constituents.

Failure modes worth testing

Score-proportional sizing is the most common trap. If your factor score is unbounded, one stock with an extreme score can take a third of the book, and the strategy silently becomes a single-name bet. Cap it or use rank-proportional sizing instead.

Volatility-based sizing has an opposite failure. It hands large weights to whatever was recently quiet, and measured volatility is artificially low for illiquid stocks whose prices barely print.

Rebalance frequency compounds all of this. Weekly rebalancing on a 50-stock portfolio can generate several hundred percent annual turnover, and at Indian retail costs, including brokerage, STT, exchange charges and impact cost, that is a real drag that no sizing scheme recovers. Model the costs in the backtest before deciding a sizing rule works.

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