Question $1$

An investor has placed her funds with a fund manager.

She initially invests $$160,000.$

A year larier, at the end of Year $1,$ the portfolio has grown in value to $$210,000.$

At the end of Year $1,$ she invests another $$40,000.$

During Year $2$ the portfolio loses $$30,000$ in value.

At the end of Year $2,$ the investor invests another $$60,000.$

At the end of Year $3,$ the portfolio is worth $$350,000.$

$($b$)$ What is the value of the return from the point of view of the portfolio manager?