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= ($2,325,000 x 4) / $100,000,000 = 0.093
This is precisely the implied borrowing rate that Johnson locked in on September 20.
Regardless of the LIBOR rate on December 20, the net cash outflow will be $2,325,000, which
translates into an annualized rate of 9.3 percent. Consequently, the floating rate liability has
been converted to a fixed rate liability in the sense that the interest rate uncertainty associated
with the March 20 payment (using the December 20 contract) has been removed as of
September 20.
b. In a strip hedge, Johnson would sell 100 December futures (for the March payment), 100
March futures (for the June payment), and 100 June futures (for the September payment). The
objective is to hedge each interest rate payment separately using the appropriate number of
contracts. The problem is the same as in Part A except here three cash flows are subject to
rising rates and a strip of futures is used to hedge this interest rate risk. This problem is
simplified somewhat because the cash flow mismatch between the futures and the loan
payment is ignored. Therefore, in order to hedge each cash flow, Johnson simply sells 100
contracts for each payment. The strip hedge transforms the floating rate loan into a strip of
8. Jacob Bower has a liability that:
• has a principal balance of $100 million on June 30, 2008,
• accrues interest quarterly starting on June 30, 2008,
• pays interest quarterly,
• has a one-year term to maturity, and
• calculates interest due based on 90-day LIBOR (the London Interbank Offered
Rate).
Bower wishes to hedge his remaining interest payments against changes in interest rates.
Bower has correctly calculated that he needs to sell (short) 300 Eurodollar futures contracts to
accomplish the hedge. He is considering the alternative hedging strategies outlined in the
following table.