$2.$ Plot a yield curve for securities maturing in $1,2,3,$ and $4$ years using the liquidity premium theory and the following information:

a$.1$R$1=4\mathrm{.}50\%,$

b$.$ E$(2$r$1)=5\mathrm{.}0\%,$ E$(3$R$1)=5\mathrm{.}5\%,$ E$(4$R$1)=7\mathrm{.}5\%$

c$.$ L$2=0\mathrm{.}5\%,$ L$3=0\mathrm{.}8\%,$ L$4=1\mathrm{.}0\%$