Time Value of Money $2$

Answer the following questions:

$1.$ Consider the following cash flow stream:

t$=0$: $$200$

t$=1$: $$300$

t$=2$: $$300$

t$=3$: $$400$

t$=4$: $$150$

t$=5$: $$250$

If the discount rate is $4\%,$ what is today's value of this stream of cash flows?

$2.$ Suppose that you wish to save $$20,0000$ by making the following deposits:

t$=0$: $$2000$

t$=1$: $$3000$

t$=2$: $$3000$

t$=3$: $$4000$

t$=4$: $$1500$

t$=5$: $$2500$

What must the interest be $($or what is the implied interest rate$)?$