Which statements about arithmetic and geometric average returns are correct?

Receiving the geometric average of a multi$-$year holding period return every year will yield that HPR$.$

When returns are positive, the geometric average return is never greater than the arithmetic average return.

When the distribution of returns is normal, $\backslash ($ E$[\backslash )$ Geometric average $\backslash (]=$E$[\backslash )$ Arithmetic average $\backslash (]-1/2\backslash$sigma$^\{2\}\backslash ).$

The geometric average provides an unbiased estimate of the expected future return.

The greater the volatility of returns, the smaller the discrepancy between arithmetic and geometric averages.