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Calculating Ownership Shares After New Contributions to a Growing Asset

Article Quant Q&A · Author: M.Aço
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Summary

The document asks how to preserve fair ownership shares when several people jointly hold an asset whose value changes over time. It illustrates an initial pool funded by three contributors, followed by appreciation and a later cash contribution from one person. The central issue is whether the new contribution should buy a share based on the asset’s current value, and how that affects everyone’s percentage ownership.

No calculation method or resolution is provided; the text is a request for guidance. A standard way to frame the accounting is to value existing ownership immediately before the deposit, then allocate the new contribution at that valuation so existing holders are diluted proportionally. The document does not specify custody arrangements, fees, taxes, or whether participants have agreed on a valuation rule, all of which can matter in practice.

Key ideas

  • Ownership percentages should reflect contributions relative to the asset’s value when each contribution is made.
  • A later deposit changes ownership shares and dilutes existing holders under a proportional allocation.
  • The example raises whether dilution should apply equally by percentage or differently by contributor.
  • The document poses the problem but does not provide a settled calculation or address legal and accounting arrangements.

Tags

CryptoPortfolio constructionRisk management
Full text
# How to calculate increases in equity of a valuing asset


# How to calculate increases in equity of a valuing asset












I would like to know how to calculate equity of an owned asset. My problem specifically is that I own a BTC wallet and have some family members contributing to that wallet as well. Having person A B and C invested. Lets say on the day of creation 10000 euros were added to the wallet.

5000 from person A - 50% of the wallet.

2000 from person B - 20% of the wallet.

3000 from person C - 30% of the wallet.

This math is pretty straight forward and easy to do, the problem comes from adding later on to this wallet.

Lets say over time the wallet values and is now worth 20000, meaning everyone doubled their initial investment.

But at 20000 person A decides to add 2000 more to the wallet. How would one calculate how much equity in the wallet that person is supposed to add? The wallet would now be worth 22000 and 2000 of that is 10%, should person A get 60% of the wallet now and person B and C lose 5%? should person C lose more given that he has more % of the wallet?

How would one go about calculating this to make sure value equity is intact?

Thank you for your time and I hope I was explicit enough in the question.

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.