If i $=5\%$ per period compounded each period, for what value of B is the net present value $=0.$ Choose the closest answer.

Cash Flows:

Year $1$ positive B

Year $2$ positive $$800$ and negative B

Year $3$ positive $$800$ and negative B

Year $4$ positive $$800$ and negative $1\mathrm{.}5$B

Group of answer choices

$$1,000$

$$1,050$

$$1,100$

$$1,150$