
Answer-first summary for fast verification
Answer: 133%.
The correct answer is **C**. The return on equity for a margin transaction is calculated by multiplying the unleveraged return by the financial leverage ratio. The financial leverage ratio is the reciprocal of the margin requirement (1 / margin). In this case, the financial leverage ratio is 1 / 0.30 = 3.3333. Therefore, the return on equity is 40% * 3.3333 = 133.33%, which is closest to 133%. **Why not A or B?** - **A** incorrectly calculates the return on equity as the unleveraged return multiplied by (1 + margin), resulting in 40% * 1.30 = 52%. - **B** incorrectly swaps the numerator and denominator in the calculation, leading to 30% / 40% = 75%.
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