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๐Ÿ“– Book Value

โฌ…๏ธ Back to Performance Metrics Overview

๐Ÿ’ก 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.


๐Ÿงฎ Formula

\[ \boxed{\mathrm{Book}(t) = \mathrm{OCB}(t) + \mathrm{Cash}(t) + \mathrm{InTransitBook}(t)} \]

Where Open Cost Basis:

\[ \mathrm{OCB}(t) = \sum_{\substack{(a,b) \in S \\ q > 0}} q(a,b,t) \cdot w(a,b,t) \cdot \mathrm{fx}(\mathrm{ccy}_w, C^*, t) \]

๐Ÿ”— See Portfolio Engine โ€” ยง3 Position State for full derivation.


โš–๏ธ Unrealized Gain/Loss

\[ \mathrm{Unrealized}(t) = \mathrm{NAV}(t) - \mathrm{Book}(t) \]

๐Ÿ“ Example

Component Amount
Open Cost Basis โ‚ฌ27,000
Cash โ‚ฌ600
In-Transit Book โ‚ฌ0
\[ \mathrm{Book} = 27\,000 + 600 = 27\,600 \text{ EUR} \]

With NAV = โ‚ฌ33,000:

\[ \mathrm{Unrealized} = 33\,000 - 27\,600 = +5\,400 \text{ EUR} \]

  • ๐Ÿ“Š WAC โ€” unit cost method for OCB
  • ๐Ÿ’ผ NAV โ€” market-value counterpart
  • ๐Ÿ“ˆ Period PnL โ€” realized + unrealized combined