PnL Decomposition in DeFi: Yield PnL vs Price effect

Key takeaways

• Total PnL is not an attribution. Split it on two independent axes that each reconcile to the same total.

• Axis 1 is quantity versus price (strategy versus market). Axis 2 is income versus capital return (yield versus price effect).

• Never add a component from axis 1 to a component from axis 2. That double-counts.

• LPs allocating for yield care about the income leg. Price tailwinds may not repeat.

Why Total PnL Is Not Enough

A DeFi fund that earned $2.4M in a quarter needs to answer a harder question: where did that come from? Was it yield accrued from lending markets? Was it appreciation in the underlying tokens held? Or was it driven by smart allocation: moving out of a falling position before others did?

This matters for several reasons. LPs who allocate for yield generation want to know whether the yield thesis is performing. Risk managers need to know how much of the return depended on token price appreciation that may not repeat. And managers need to know whether their allocation decisions added or destroyed value relative to just holding the underlying assets.

The Two Decomposition Axes

Total P&L is decomposed along two independent axes. Each axis isolates one measured component and puts the remainder in a residual term, so both decompositions reconcile exactly to the same total.

Axis 1, quantity effect vs price effect. Strategy P&L is the change in token quantity over the period, valued at the end-of-period price. It isolates quantity effects (accrual, compounding, deposits, withdrawals) from market repricing. Market P&L is the residual: total_pnl minus strategy_pnl. This is the volume/price variance split used in management accounting: units held versus price per unit.

Axis 2, income return vs capital return. Yield P&L is protocol income accrued as balance growth (interest, LP fees, and staking rewards), already expressed in USD at each day’s price. It is the equivalent of coupon income in fixed income or rental income in real estate. Price Effect P&L is the residual: total_pnl minus yield_pnl. This is the capital return component, mostly mark-to-market price movement.

A Worked Example

A staking position held for one quarter:

Start: 1,000 tokens at $2,000 each → $2,000,000

End: 1,040 tokens at $2,200 each → $2,288,000

Total P&L: $288,000

Two effects happened simultaneously: the position accrued 40 extra tokens, and every token repriced by $200. The quantity/price axis separates them:

Strategy P&L: $88,000. The position ended the quarter with 40 more tokens than it started with. Valued at the end-of-period price of $2,200, those extra tokens are worth $88,000. That is the part of the gain the position itself produced.

Market P&L: $200,000. The remaining $200,000 is the original 1,000 tokens appreciating by $200 each. That would have accrued without any action, so it is attributed to the market rather than to the strategy.

On a pure staking position like this one, the income axis gives the same answer: Yield P&L = $88,000 (the tokens accrued as protocol income) and Price Effect P&L = $200,000 (the residual price appreciation). The two axes agree on a single-leg position and diverge on multi-leg or wrapped positions. Which is when the distinction becomes analytically valuable.

Why the Axes Diverge on Complex Positions

On a plain staking position, Strategy PnL equals Yield PnL because every balance change is protocol income. They diverge on wrapped and multi-leg positions.

A vault receipt token’s balance can move for reasons that are not protocol income: rebases, fee mechanics, or the vault rebalancing between underlying assets. The quantity axis (Strategy) counts every balance movement. The income axis (Yield) counts only what the protocol paid on the underlying assets. The gap between them tells you something: a Strategy PnL much higher than Yield PnL means balance growth came from mechanics other than income.

The correct questions each axis answers: Strategy vs Market: did allocation decisions add value, or did the position simply track the market? This is the manager-skill question LPs and allocators ask. Yield vs Price Effect: how much of the return is recurring income versus mark-to-market repricing? This is the income-durability question a risk or treasury team asks.

Rules for Reading the Decomposition Correctly

Never add across the two axes. Strategy P&L plus Yield P&L is not a meaningful figure. Each axis already accounts for the entire total on its own, so combining components from both double-counts.

Market P&L and Price Effect P&L are not the same number. Both are price residuals, but each is the remainder after a different measured component. On a wrapped position they will differ, and that difference is informative rather than an error.

Holdings in plain wallets only ever show market and price effect. A token balance held outside a protocol has no income layer, so it accrues no protocol income and no quantity effect. Its entire P&L is price movement.

The totals always reconcile: Strategy + Market = Total P&L. Yield + Price Effect = Total P&L. This holds at asset, position, and fund level. If the parts do not sum to the total, the decomposition is at fault, not the total.

Why This Matters for LP Reporting

Decomposed correctly, a quarter that returned $288,000 on a $2M position (14.4%) tells very different stories depending on the split. If $200,000 was market repricing, a passive gain any holder captured, and $88,000 was income the position generated, the manager earned 4.4% income return with a 10% price tailwind. That is very different from a fund that generated $288,000 entirely through position yield with flat prices.

For LPs allocating to yield strategies, the income return is the repeatable component. The capital return from price movement may not recur. Surfacing both axes clearly is what turns a single PnL number into an investment-quality attribution.