$9$ B$.$ A portfolio manager with five clients reports the following annual rates of return: Show all your work.

Client Assets Rates of Return

$1$ Juan $$1,900,00012\mathrm{.}3\%$

$2$ Susan $$2,300,00010\mathrm{.}2\%$

$3$ Sam $ $500,0009\mathrm{.}4\%$

$4$ Michael $ $700,0009\mathrm{.}1\%$

$5$ Mary $ $500,0009\mathrm{.}0\%$

a$)$ What is the arithmetic mean rate of return among the five accounts?

b$)$ What is the weighted mean rate of return among the five accounts?

c$)$ What is the geometric mean rate of return among the five accounts?