The force of interest at time $t,(t),$ is given by:

$(t)=\{\begin{array}{ccc}0\mathrm{.}03& \text{f}\text{o}\text{r}& 0t<mn\; id="EditorElement\_1856953">5</mn>\\ 0\mathrm{.}08& \text{f}\text{o}\text{r}& t5\end{array}$

Calculate the PRESENT VALUE AT TIME $0$ of payment stream of $700$ per unit time payable continuously between

time $4$ and time $10.$

Express your answer to TWO decimal places and do NOT include a $""$ sign.

Answer: