$($Questions $1617)$ Suppose you purchase one share of the stock of Nike at the beginning of year $1$ for $$180.$ At the end of year $1,$ you receive a $$1\mathrm{.}26$ dividend and buy one more share for $$90.$ At the end of year $2,$ you receive total dividends of $$2\mathrm{.}78($i$.$e$.,$ $$1\mathrm{.}39$ for each share$)$ and sell the shares for $$120$ each. The time$-$weighted return on your investment is: