Show the relationship between present and future value by solving the following:A$.$ What is the present value of an investment that offers payments of $$6,000$ at the end of year $1$; $$4,000$ at the end of year $2$; and $$2,000$ at the end of year $3$ if money can be invested at $9$ percent?$0123-6000-4000-2000$ V$=(1)6400*(1+0\mathrm{.}09)^2=6504\mathrm{.}59$bullet bullet bullet$(($ t $\mathrm{.}09)^=1602\mathrm{.}0$i $*(1+0\mathrm{.}11)^1=3374\mathrm{.}23$ PV$=$$$10441\mathrm{.}44$B$.$ How much money would be in the bank at the the proceeds from an investment that offers payments of $$6,000$ at the end of year $1$; $$4,000$ at the end of year $2$; and $$2,000$ at the end of year $3$ were deposited in a savings$02(-6000-410-20$H$)*$ r $=9\%*$ V $*0=$ V$\_\{$N$\}(1+$ r$)*10444*(1+0\mathrm{.}04)^3=$ Leftrightarrow$13,847\mathrm{.}57$C $$13,488\mathrm{.}60$ at the end of year $3$ if money can be invested at $9$ percent?