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Private-capital multiple bases and components

These original questions use compatible fictional totals and explain each alternative.

Use only the stated definitions

Assume one date, currency and investor population. The questions use their supplied cumulative paid-in convention with no recallable adjustment. Do not add a different reporting method or a hidden valuation assumption.

Reconstruct amounts before selecting a ratio

Check the denominator’s name, split total value into distributed and residual components, and sum fund amounts before pooling. A ratio that does not reproduce the supplied value can reveal a definition or weighting error.

Try the questions

Paid-in is 100, commitment 200, distributions 40 and residual 110. What is TVPI on the stated paid-in basis?

  • A.

    0.75

  • B.

    1.5×

  • C.

    2.5×

Answer and explanation

Answer: B

Total entered value is 150 and the named denominator is paid-in 100.

A

This divides by commitment instead of paid-in.

B

(40+110)/100 uses the stated common base.

C

This incorrectly nets distributions out of the defined paid-in base.

In that record, which amount is already distributed?

  • A.

    40

  • B.

    110

  • C.

    150

Answer and explanation

Answer: A

The residual must not be relabeled as cash already returned.

A

This is the supplied returned-value component.

B

This is residual value, not the distribution.

C

This combines returned and remaining value.

Compatible funds have paid-in 50 and 150 and TVPIs 1.5× and 1.2×. What is pooled TVPI?

  • A.

    1.35×

  • B.

    1.275×

  • C.

    2.7×

Answer and explanation

Answer: B

Pool amounts or use paid-in weights; both give 1.275×.

A

The equal-fund mean ignores their unequal capital bases.

B

Paid-in weights 25% and 75% reproduce total value 255 on capital 200.

C

Adding dimensionless ratios does not form the pooled ratio.

Further references