You make a series of deposits & withdrawls from a bank account over the next $43$ months as illustrated in the

diagram below.

You deposit $$9,580$ in the bank each month starting $3$ months from now, and continue to do so until $43$

months from now.

You withdraw $-$$$3,475$ five months from now.

Every month you increase the amount of money you withdraw by $-$$$165$ and continue doing so until $43$

months from now.

Interest rates are $1\mathrm{.}00\%$ per month, compounded monthly.

a$)$ What is the present value of the cash flows as illustrated?

b$)$ How much money will be in the bank after $43$ months?