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

question 20

Multiple Choice

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.

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Definitions:

Quantity Supplied

The total amount of a good or service that producers are willing and able to sell at a given price over a specific period.

Cattle Ranchers

Individuals or businesses involved in raising cattle, mainly for beef production.

Supply Curve

A graph showing the relationship between the quantity of a good supplied and its price, typically upward sloping.

Movement

A change or development in a particular direction, often referred to in contexts ranging from physical relocation to shifts in opinions or trends.