Now it is end of year $2027,$ This morning, Ron was reviewing his investment statements, he showed the following information to his dad and asked him to help with some calculations. $($Please ignore any fund expenses info. in solving this question$)$

$\backslash$table$[[$Year$,$Beginning balance,Ending balance,$\backslash$table$[[$Dividends$],[$per share$]]],[$No$.$ Shares,Share price,No$.$ Shares,Share price$],[2024,20,000,15,20,000,16,0\mathrm{.}50],[2025,20,625,16,20,625,13\mathrm{.}75,0\mathrm{.}60],[2026,21,525,13\mathrm{.}75,21,525,17,0\mathrm{.}632],[2027,22,325,17,22,325,18,0\mathrm{.}80]]$

$($please notice that the dividends received at the end of each year have been used to purchase new shares at the beginning of the following year$)$

what is the HPR for Ron in $2024?$

a$)6\mathrm{.}67\%$

b$)10\%$

c$)6\mathrm{.}25\%$

d$)8\mathrm{.}9\%$

What is the HPR of Ron during his entire investment horizon $2024-$end of $2027($Please notice that Ron has been reinvesting his entire proceeds from dividends during years $2015,2016,$ and $2017$ in the fund once they are received$)?$

a$)28\%$

b$)41\mathrm{.}4\%$

c$)39\mathrm{.}9\%$

d$)59\mathrm{.}3\%$

What is the arithmetic average annual return of Ron during the whole investment period?

a$)8\mathrm{.}54\%$

b$)5\mathrm{.}53\%$

c$)6\mathrm{.}52\%$

d$)9\mathrm{.}63\%$

What is the Geometric average annual return of Ron during the whole investment period?

a$)2\mathrm{.}8\%$

b$)8\mathrm{.}76\%$

c$)-8\mathrm{.}77\%$

d$)8\mathrm{.}52\%$

What is the dollar weighted average return of Ron during the whole investment period?

a$)7\mathrm{.}58\%$

b$)8\mathrm{.}76\%$

c$)10\mathrm{.}38\%$

d$)11\mathrm{.}53\%$

Assuming that the dollar$-$weighted return is Ron's nominal rate of return, what is Ron's real rate of return if the annual rate of inflation during the investment period is $3\%?$

a$)5\mathrm{.}59\%$

b$)11\mathrm{.}76\%$

c$)10\mathrm{.}76\%$

d$)1\mathrm{.}92\%$