Suppose that an investor opens an account by investing $$1,000.$ At the beginning of each of the next four years, he deposits an additional $$1,000$ each year, and he then liquidates the account at the end of the total five$-$year period. Suppose that the yearly returns in this account, beginning in Year $1,$ are as follows: $-9$ percent, $17$ percent, $9$ percent, $14$ percent, and $-4$ percent.a$.$ Calculate the arithmetic and geometric average returns for this investment. $($Do not round intermediate calculations. Enter your answers as a percent rounded to $2$ decimal places.$)0\mathrm{.}9$pointseBookPrintReferencesArithmetic returnGeometric return$\%$b$.$ Determine what the investor's actual dollar$-$weighted average return was for this five$-$year period. $($Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places.$)$