You don’t have to invest individually to take advantage of dividend paying stocks (i.e. investing in an ETF like DVY, which currently has a 3.16% dividend yield – almost 4%). And while your math is indeed correct, there is more to dividend paying stocks that just the math. The reason the companies pay dividends is typically because of their underlying strength, steady growth, etc. These companies can be good investments for the long run. As such, it might not make sense to sell.
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The United States Internal Revenue Service categorizes income as active income, passive income, or portfolio income. It defines passive income as only coming from two sources, or "passive activities": rental activity or "trade or business activities in which you do not materially participate." Other financial and government institutions also recognize it as an income obtained as a result of capital growth or in relation to negative gearing. Passive income is usually taxable.