๐ Book Value
โฌ ๏ธ Back to Performance Metrics Overview
๐ก What is Book Value?
Book Value represents the historical accounting cost of your portfolio โ how much capital you deployed at cost, plus cash reserves. It does not fluctuate with market prices.
๐งฎ Formula
\[
\boxed{\mathrm{Book}(t) = \mathrm{OCB}(t) + \mathrm{Cash}(t) + \mathrm{InTransitBook}(t)}
\]
Where Open Cost Basis:
\[
\mathrm{OCB}(t) = \sum_{\substack{(a,b) \in S \\ q > 0}} q(a,b,t) \cdot w(a,b,t) \cdot \mathrm{fx}(\mathrm{ccy}_w, C^*, t)
\]
๐ See Portfolio Engine โ ยง3 Position State for full derivation.
โ๏ธ Unrealized Gain/Loss
\[
\mathrm{Unrealized}(t) = \mathrm{NAV}(t) - \mathrm{Book}(t)
\]
๐ Example
| Component | Amount |
|---|---|
| Open Cost Basis | โฌ27,000 |
| Cash | โฌ600 |
| In-Transit Book | โฌ0 |
\[
\mathrm{Book} = 27\,000 + 600 = 27\,600 \text{ EUR}
\]
With NAV = โฌ33,000:
\[
\mathrm{Unrealized} = 33\,000 - 27\,600 = +5\,400 \text{ EUR}
\]
๐ Related
- ๐ WAC โ unit cost method for OCB
- ๐ผ NAV โ market-value counterpart
- ๐ Period PnL โ realized + unrealized combined