Disclosures
Not advice
Everything on this site and the Ran The Numbers channel is education and entertainment only. Nothing here is financial, investment, tax, accounting, or legal advice, and nothing is a recommendation to buy, sell, or hold any security or asset. No performance is promised or implied. Past results — real or simulated — do not predict future returns. Your situation is specific; consult a licensed professional about it.
Paper trading
Anything market-related on the channel runs in a paper trading account: simulated money, real market data, zero real dollars at risk. Simulated results flatter — no slippage, perfect fills, no fear — and we say so every time they appear.
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AI-assisted production
Research, scripts, visuals, and this site are produced with AI tools under human direction. All math is verified against primary sources before publication, and sources are cited where the numbers appear.
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