USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S)
Suppose you are a loan officer for a commercial bank and one of your clients has just approached you about a one-year loan for $4,000,000. Interest on the new loan will be paid at the end of each quarter based on the prevailing level of LIBOR at the beginning of each quarter. The LIBOR yield curve in the cash market is as follows:

-Refer to Exhibit 15.7. A bond portfolio manager expects a cash inflow of $10,000,000. The manager plans to hedge potential risk with a Treasury futures contract with a value of $102,150. The conversion factor between the CTD and the bond specified in the Treasury futures contract is 0.88. The duration of bond portfolio is six years, and the duration of the CTD bond is 4.5 years. Indicate the number of contracts required and whether the position to be taken is short or long.
A) 114 contracts short
B) 114 contracts long
C) 60 contracts short
D) 60 contracts long
E) 55 contracts long

Question

USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S)
Suppose you are a loan officer for a commercial bank and one of your clients has just approached you about a one-year loan for $4,000,000. Interest on the new loan will be paid at the end of each quarter based on the prevailing level of LIBOR at the beginning of each quarter. The LIBOR yield curve in the cash market is as follows:
 
-Refer to Exhibit 15.7. A bond portfolio manager expects a cash inflow of $10,000,000. The manager plans to hedge potential risk with a Treasury futures contract with a value of $102,150. The conversion factor between the CTD and the bond specified in the Treasury futures contract is 0.88. The duration of bond portfolio is six years, and the duration of the CTD bond is 4.5 years. Indicate the number of contracts required and whether the position to be taken is short or long.
A) 114 contracts short 
B) 114 contracts long 
C) 60 contracts short 
D) 60 contracts long 
E) 55 contracts long

Quizplus · Accepted Answer

The correct answer is B. The bond portfolio manager expects a cash inflow of $10,000,000. The manager plans to hedge potential risk with a Treasury futures contract with a value of $102,150. The conversion factor between the CTD and the bond specified in the Treasury futures contract is 0.88. The duration of bond portfolio is six years, and the duration of the CTD bond is 4.5 years. To hedge the risk, the manager needs to take a long position in the Treasury futures contract. The number of contracts required is calculated as follows:Number of contracts = (Cash inflow * Conversion factor) / (Contract value * Duration of CTD bond)= (10,000,000 * 0.88) / (102,150 * 4.5)= 114.28Therefore, the manager needs to take a long position in 114 contracts.