An investor invests $$129,000$ in a managed fund at the beginning of Year $1.$ Over the course of the first year the value of the fund increases by $$22134.$ At the end of Year $1,$ the investor invests another $$30,000.$ Over the course of the second year the value of the fund falls by $$22759.$ At the end of Year $2$ the investor invests another $$41,000.$ At the end of Year $3$ the value of the fund has increased to $$258897,$ which the investor then withdraws.

What is the annual rate of return from this investment the point of view of the portfolio manager?

$$ a$.8\%$

b$.10\%$

c$.13\%$

I am struggling to calculate year $2$