The Average Duration of the Loans Is 10 Years

question 175

Multiple Choice

The average duration of the loans is 10 years. The average duration of the deposits is 3 years. What is the number of T-bond futures contracts necessary to hedge the balance sheet if the duration of the deliverable bonds is 9 years and the current price of the futures contract is $96 per $100 face value and if basis risk shows that for every 1 percent shock to interest rates, i.e., ΔR/(1 + R) = 0.01, the implied rate on the deliverable bonds in the futures market increases by 1.1 percent, i.e., ΔR_f/(1 + R_f) = 0.011?

• A)1,500 contracts.
• B)1,888 contracts.
• C)2,100 contracts.
• D)2,408 contracts.
• E)3,100 contracts.

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Definitions:

Selling Prices

The amounts of money charged to customers in exchange for goods or services.

Plantwide Predetermined Manufacturing Overhead Rate

A single overhead rate calculated by dividing total estimated manufacturing overhead costs by an estimated allocation base, used across an entire plant or facility.

Departmental Predetermined Overhead Rates

A method of calculating overhead rates for specific departments within a company, rather than using a single overhead rate for the entire organization.

Machine-Hours

A measure of production output or operational time, calculated by the number of hours a machine is run during a specific period.