Your plan is to have $$45,000$ in your account, $11$ years from today. You can invest in an account that pays $6\mathrm{.}7$ percent, compounded semi$-$annually. How much do you have to invest today to attain your target in $11$ years?

a$.$ $$91,837\mathrm{.}7272$

b$.$ $$22,668\mathrm{.}1079$

c$.$ $$21,796\mathrm{.}2576$

d$.$ $$24,193\mathrm{.}8459$

e$.$ None of the above

Unexpectedly, the U$.$S$.$ Treasury announces to buy $$73$ billion of new bonds. What effect would that have on the bond market?

a$.$ Prices would increase.

b$.$ Prices would not change.

c$.$ Prices would decline.