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Effective Capital Gains Tax

Hey All,

First time poster here. I wanted to ask about this because neither Schweser nor the CFA curriculum deemed it necessary to explain this further. Clearly they thought a smart Level 3 candidate should be able to figure this out, but this apparently isn't the case for me.

The formula (taking Schweser's notation):
Tecg = Tcg * ((1 - Pi - Pd - Pcg) / (1 - (PiTi + PdTd + PcgTcg))

Numerator is investment income percentage from unrealized capital gains. Denominator is 1 minus the total realized tax rate.

I may be missing something obvious here, but how does this formula lead to the effective capital gains tax rate?

Thanks in advance for any insight,
HoJoon

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