JUST ANSWER NUMBER $3!$ What is the net interest rate $($after accounting for profits and losses in futures$)$ that can be locked in from September $18$ to September $30?$ This is the annualized average interest rate per day for this period.

A$.4\mathrm{.}2550\%$

B$.4\mathrm{.}3550\%$

C$.4\mathrm{.}4550\%$

D$.4\mathrm{.}5550\%$

E$.4\mathrm{.}6550\%$

$=0\mathrm{.}04355100=4\mathrm{.}3350\%$

What is the net interest $($after accounting for profits and losses in futures$)$ that can be locked in from September $18$ to September $30?$

A$.$ $$129,011$

B$.$ $$100,518$

C$.$ $$98,029$

D$.$ $$122,163$

$($E$.)$ $$117,949$

$75$mil$0\mathrm{.}04355\frac{13}{360}=\{\begin{array}{cc}\text{:}[117,& 948\mathrm{.}54]\\ 117,& 949\end{array}$

How many September one$-$month SOFR futures contracts should be bought?

A$.13$

B$.14$

C$.15$

$75m0\mathrm{.}01\%\frac{13}{360}=7,500,000(0\mathrm{.}01\%\frac{13}{30})\frac{30}{360}$

D$.16$

E$.17$

$=\frac{75m30}{7\mathrm{.}5m30}=1$ contrect