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Capital Stack Tensor
Unified Architecture for Catalytic Capital
Build and analyse blended finance structures using the Capital Stack Tensor (Cijt). Map capital across type (i), instrument (j), and time (t) to optimise your capital stack.
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Tensor View: Cij (Capital Type × Instrument)
| Equity | Debt | Guarantee | Row Total | |
|---|---|---|---|---|
| Grant | $5.0M | - | - | $5.0M |
| Concessional | - | $15.0M | - | $15.0M |
| Commercial | - | $30.0M | - | $30.0M |
| Column Total | $5.0M | $45.0M | $0 | $50.0M |
Capital Entries
Analysis
2.50×
Catalytic Leverage (Lcat)
$50.0M
Total Capital Mobilised
By Capital Type
Grant$5.0M
Concessional$15.0M
Commercial$30.0M
By Instrument
Equity$5.0M
Debt$45.0M
Guarantee$0
Catalytic Capital$20.0M
Avg. Deployment YearYear 3.6
Tensor Formula
Cijt where:
i ∈ {grant, concessional, commercial}
j ∈ {equity, debt, guarantee}
t ∈ [0, T]
i ∈ {grant, concessional, commercial}
j ∈ {equity, debt, guarantee}
t ∈ [0, T]
The Capital Stack Tensor maps capital across three dimensions, enabling precise characterization and optimization of blended finance structures.