$1.$A project requires a current investment of $$217\mathrm{.}63$ and yields future expected cash flows of

$$55\mathrm{.}19,$ $$63\mathrm{.}11,$ $$98\mathrm{.}54,$ $$82\mathrm{.}83,$ and $$38\mathrm{.}21$ in periods $1$ through $5,$ respectively. All figures are in

thousands of dollars $($do not change the values to thousands, leave as they are$).$ For these

expected cash flows, the appropriate discount rate is $5\mathrm{.}3\%.$ What

is the net present value of this project?

$2.$ A project requires a current investment of $$54\mathrm{.}39$ and yields future expected cash flows of

$$19\mathrm{.}27,$ $$27\mathrm{.}33,$ $$34\mathrm{.}94,$ $$41\mathrm{.}76,$ and $$32\mathrm{.}49$ in periods $1$ through $5,$ respectively. All figures are in

thousands of dollars $($do not change the values to thousands, leave as they are$).$ For these

expected cash flows, the appropriate discount rate starts at $6\mathrm{.}4\%$ in period $1$ and declines to

$5\mathrm{.}6\%$ in period $5($loses $\mathrm{.}2\%$ per year$).$ What is the net present value of this project $($hint$*$ you will

need to use the general discount formula$)?$