The performance of an investment fund is to be evaluated over a two year period starting from $1$st January $2017.$ The given fund had a value of $8\mathrm{.}36$

mil on the $1$st January $2017$ that had increased to $12\mathrm{.}39$ mil by the $1$st January $2019.$ During this period, the fund had received a net cash flow of $464,000$ on the $1$st January $2018$ that was followed by a further net cash flow of $948,000$ on the $1$st July $2018.$ It is estimated that immediately before the receipt of these net cash flows the fund had a value of $8\mathrm{.}9$ mil and $11\mathrm{.}57$ mil, respectively.

For the given $2-$year valuation period estimate, to the nearest $0\mathrm{.}1\%,$ the following annual effective rates of return:

a$)$ The time$-$weighted rate of return earned on the fund;

b$)$ The money$-$weighted rate of return earned on the fund;

c$)$ The linked internal rate of return using sub$-$intervals of a calendar year.