The average duration of the loans is 10 years.The average duration of the deposits is 3 years. $\begin{array}{llr}
\text { Consumer loans } & \$ 50 \text { million Deposits } & \$ 235 \text { million } \
\text { Commercial Loans } & \$ 200 \text { million Equity } & \$ 15 \text { million } \
\text { Total Assets } & \$ 250 \text { million Total Liabilities \& Equity } & \$ 250 \text { million }
\end{array}$

What is the number of T-Bill futures contracts necessary to hedge the balance sheet if the duration of the deliverable T-bills is 0.25 years and the current price of the futures contract is $98 per $100 face value?
A)6,212 contracts.
B)6,805 contracts.
C)6,900 contracts.
D)7,112 contracts.
E)7,327 contracts.

Question

The average duration of the loans is 10 years.The average duration of the deposits is 3 years. $\begin{array}{llr}
\text { Consumer loans } & \$ 50 \text { million Deposits } & \$ 235 \text { million } \
\text { Commercial Loans } & \$ 200 \text { million Equity } & \$ 15 \text { million } \
\text { Total Assets } & \$ 250 \text { million Total Liabilities \& Equity } & \$ 250 \text { million }
\end{array}$

What is the number of T-Bill futures contracts necessary to hedge the balance sheet if the duration of the deliverable T-bills is 0.25 years and the current price of the futures contract is $98 per $100 face value?
A)6,212 contracts.
B)6,805 contracts.
C)6,900 contracts.
D)7,112 contracts.
E)7,327 contracts.

Quizplus · Accepted Answer

The Answer of The average duration of the loans is 10 years.The average duration of the deposits is 3 years. $\begin{array}{llr}
\text { Consumer loans } & \$ 50 \text { million Deposits } & \$ 235 \text { million } \
\text { Commercial Loans } & \$ 200 \text { million Equity } & \$ 15 \text { million } \
\text { Total Assets } & \$ 250 \text { million Total Liabilities \& Equity } & \$ 250 \text { million }
\end{array}$

What is the number of T-Bill futures contracts necessary to hedge the balance sheet if the duration of the deliverable T-bills is 0.25 years and the current price of the futures contract is $98 per $100 face value?
A)6,212 contracts.
B)6,805 contracts.
C)6,900 contracts.
D)7,112 contracts.
E)7,327 contracts.

The Average Duration of the Loans Is 10 Years What Is the Number of T-Bill Futures Contracts Necessary to Duration