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In this article, I am going to use math and programming to delve into these strategies and evaluate their profitability. The article features mathematical and practical sections. In the math section, I will provide equations for calculating the expected payoff of the strategies and other important parameters not taken into account by many traders. In the practical part, I will develop a simple grid and martingale, and compare the equations with reality. The article is especially useful for beginners since these strategies are usually the first ones they come across. Blind faith into them may lead to disappointments and waste of time, as happened to me back in the time. If I had not known math, perhaps I would still have believed in them. But these strategies still have a rationale if you look at them correctly. This is what I am going to prove.
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