If you are to receive a payment of $$200$ at the end of the first year and a payment of $$250$ at the end of the second year and the market interest rate is $5$ percent, the present value of this income stream is

a$.$ $$400\mathrm{.}37$

b$.$ $$417\mathrm{.}23$

c$.$ $$490\mathrm{.}13$

d$.$ $$475\mathrm{.}37$

e$.$ $$450\mathrm{.}00$