How to apply R* and Tcg* to regular capital gain tax questions

Hi everyone,

In the wealth tax chapter Q6, R* and Tcg* formulas are used, I am trying to apply them to Q5, which is a deferred capital gain tax question.

R* = r * (1 - piTi - pdTd - pcgTcg)

Tcg* = Tcg * [(1 - pi - pd - pcg) / (1 - piTi - pdTd - pcgTcg)]

In Q5, there’s only deferred capital gain tax, so the proportion of capital gain tax = 1? In that case, first term in the brackets in Tcg* would equal 0 (1 minus porportion of capital gain tax 1 = 0), so the formula wouldn’t work.

Or, is Tcg* only applied to realized capital gain tax this year and not deferred gains? in which case the proportion would be 0, then the formula works and Tcg* = Tcg?

Thanks

Instead of using formula …

Find final value = 250 * (1.075)^15 = 739.719

Capital gains = 737.719 - 175 = 564.719

Capital gains tax = 564.719 ( 0.1) = 56.472

Final balance = 739.719 - 56.472 = 683.247

Ans… B