Jim Began His Investing Program with a $4,000 Initial Investment

Multiple Choice

Jim began his investing program with a $4,000 initial investment. The table below recaps his returns each year as well as the amounts he added to his investment account. What is his dollar-weighted average return?
$$\begin{array} { c l c } \text { Time } & \text { Investment } & \text { Return } \\0 & \$ 4,000 & 10\%\\1 & \$ 2,800 & -5\% \\2 & \$900 &2\% \\3 & \$ 1,600&8\% \\4 & \$ 2,100 &-3\% \\5 & \$ 2,400 &6\%\end{array}$$

A) 1.6%
B) 2.2%
C) 2.6%
D) 3.2%
E) 3.6%