๐ Period PnL (Profit and Loss)
โฌ ๏ธ Back to Performance Metrics Overview
๐ก What is Period PnL?
The absolute monetary gain or loss generated by your portfolio within \([t_0, t_1]\), adjusted for external cash flows.
๐งฎ Formula
\[
\boxed{\mathrm{PnL}_{\text{period}} = \mathrm{NAV}(t_1) - \mathrm{NAV}(t_0) - \mathrm{ECF}_{[t_0, t_1]}}
\]
Where \(\mathrm{ECF}\) = Net External Cash Flows (deposits โ withdrawals in period).
๐งฎ Decomposition
\[
\mathrm{PnL}_{\text{period}} = \Delta\mathrm{UGL} + \mathrm{Realized} + \mathrm{Income} - \mathrm{Fees} + \mathrm{Other}
\]
| Component | Definition |
|---|---|
| \(\Delta\mathrm{UGL}\) | Change in unrealized gain/loss over the period |
| Realized | Sum of (sell proceeds โ cost basis) for SELLs in period |
| Income | DIVIDEND + INTEREST in period |
| Fees | FEE + TAX in period |
| Other | Residual (FX effects, rounding) |
๐ฏ Per-Asset Contribution
For each position \((a,b)\):
\[
\mathrm{PnL}(a,b) = \Delta\mathrm{UGL}(a,b) + \mathrm{Realized}(a,b) + \mathrm{Income}(a,b) - \mathrm{Fees}(a,b)
\]
The position set includes all activity in the period:
\[
\mathcal{P} = \mathcal{P}(t_0) \cup \mathcal{P}(t_1) \cup \text{keys(Realized)} \cup \text{keys(Income)} \cup \text{keys(Fees)}
\]
๐ See Portfolio Engine โ ยง7 Period Contribution for details.
๐ Example
- NAV at \(t_0\): โฌ27,000
- Deposits in period: โฌ1,000
- NAV at \(t_1\): โฌ33,000
\[
\mathrm{PnL} = 33\,000 - 27\,000 - 1\,000 = +5\,000 \text{ EUR}
\]
๐ Related
- ๐ผ NAV โ endpoint of every PnL formula
- ๐ธ Deposited Capital โ inception-to-date Total PnL
- โ๏ธ Portfolio Engine โ full mathematical model