In mid-December, a bank Treasurer projects that loan demand will require a S10 m

Question

In mid-December, a bank Treasurer projects that loan demand will require a S10 million borrowing on March 15. The contractual loan rate is 125 basis points over LIBOR. As of December 15. the 3-month I.IBOR rate was 8.375 percent and the March Eurodollar futures rate was 11.85 percent (price 88.15). The Treasurer is conceded that interest rates may rise between December and March. The projection for the future is that on March 15. the 3-month LIBOR rate would be 11.125 percent, and the Eurodollar futures rate would be 14.75 percent (price 85.25). State what kind of hedge would he take and why. Compute the firm's actual interest cost in dollars. Compute gain or loss m the futures market a fire describing the transactions. Calculate effective annualized interest cost.

Explanation / Answer

a)

As per projection the Interest rates will rise in future. So the bank Treasure will short sell the Eurodollar with future rate 11.85% in December, and will cover the short position in March with rate 14.75%,

b)

The projection rate = 12.375% = 1237.5 Basis point,

One Basis point = $25, so 1237.5 Basis point = 1237.5 x 25 = $ 30937.5

c)

The change in interest rate = 14.75% – 11.125% = 2.90% = 290 Basis point

So profit will be 290 basis points, so per basis point $25,

Each contract is $1 million, so for $10 million 10 contracts will be required.

Now total profit = 290 x $25 x 10 = $72,5000

d)

Effective annualized interest rate = [(1+(i/n))n] – 1

Where i = interest rate = 8.375 % (LIBOR Rate) = 0.08375

and n = number of compounding period = 4

Effective annualized interest rate = [(1+(0.08375/4))4] – 1 = 0.086417 = 8.6417%

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