Whether higher delta is better depends entirely on your goal and what you are measuring, because higher delta means different things in different contexts. In general mathematics, higher delta simply means a larger change, which is not inherently better or worse. A higher temperature delta could mean more energy loss, which is worse for efficiency. In options trading, higher delta is not necessarily better, it is just different. A higher delta call option, close to 1.0, behaves almost like the stock itself, moving almost dollar for dollar. It is more expensive, has less leverage, but has a higher probability of expiring in the money. A lower delta call, like 0.20, is cheaper, offers more leverage, but has a lower chance of profit. If you want a conservative, stock-like trade, higher delta is better. If you want a cheap lottery ticket with high risk and reward, lower delta is better. For put options, higher delta means more negative, like -0.80 versus -0.20, which means more bearish exposure. In business, a higher delta between current performance and goal could be good if it is positive growth, but bad if it is cost overrun. In science, a higher delta often means a more sensitive measurement, which can be better for detection but worse for stability. So higher delta means stronger directional exposure and higher probability, but lower leverage and higher cost.
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