3) Exhibit 21.12
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:
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 6 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 contract short