If Kaylie Windham has $$425,000$ to put into an account today, what series of cash flows can be withdrawn starting at $t=0($today$)$ if all cash flows are to have equal purchasing power $($assume inflation equals $2$ percent per year$)$ and you would like them to continue forever? Assume the account earns $7$ percent per year.

a$.$ Cash flows that begin with $$29,750$ at $t=0$ and increase each year by $2$ percent into infinity.

b$.$ Cash flows that begin with $$21,250$ at $t=0$ and increase each year by $2$ percent into infinity.

c$.$ Cash flows that begin with $$20,782\mathrm{.}21$ at $t=0$ and increase each year by $2$ percent into infinity.

d$.$ Cash flows that begin with $$20,998\mathrm{.}43$ at $t=0$ and increase each year by $2$ percent into infinity.

e$.$ Cash flows that begin with $$19,859\mathrm{.}81$ at $t=0$ and increase each year by $2$ percent into infinity.

Answer is E