Show That $\lceil x\rceil = −\lfloor −x\rfloor$

question 166

Short Answer

Show that $\lceil x\rceil = −\lfloor −x\rfloor$ .

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Definitions:

Risky Asset

An investment that holds some risk of losing value, as opposed to a guaranteed or risk-free asset, offering potentially higher rewards in exchange for higher risk.

Expected Return

The weighted average of the probable returns of an investment, where the weights correspond to the probability of each outcome.

Standard Deviation

A metric that quantifies the spread of a dataset around its mean, determined by taking the square root of the variance.

Risky Asset

An asset that has a significant degree of price volatility or the potential for financial loss.