Questions / Quant research, Time-series reasoning

Aggregate log returns

Foundation, about 6 minutes. Question R019.

Three successive log returns are 0.02, −0.01, and 0.03. What is the cumulative log return as a percentage?

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Answer: 4% (1/25)

  1. Log returns add: 0.02 − 0.01 + 0.03 = 0.04, or 4%.

Interview shortcut. Log returns add over time.

In the app this has a follow-up where one thing about the setup changes. Try the follow-up.

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