Electraspace is consumer electronics wholesaler. The business of the firm is highly seasonal in nature. In 6 months of a year, firm has a huge cash…

CA Final · Advanced Financial Management · MTP · September 2025
Electraspace is consumer electronics wholesaler. The business of the firm is highly seasonal in nature. In 6 months of a year, firm has a huge cash deposits and especially near Christmas time and other 6 months firm cash crunch, leading to borrowing of money to cover up its exposures for running the business. It is expected that firm shall borrow a sum of €50 million for the entire period of slack season in about 3 months. A Bank has given the following quotations: Spot 5.50% - 5.75%3 × 6 FRA 5.59%- 5.82%3 × 9 FRA 5.64% -5.94% 3-month €50,000 future contract maturing in a period of 3 months is quoted at 94.15 (5.85%). You are required to examine: How a FRA, shall be useful if the actual interest rate after 3 months turnout to be:4.5%6.5%How 3 months Future contract shall be useful for company if interest rate turns out as mentioned in part (a) above.

Suggested Answer and Working Notes:

(i) By entering into an FRA, firm shall effectively lock in interest rate for a specified future in the given it is 6 months. Since, the period of 6 months is starting in 3 months, the firm shall opt for 3 × 9 FRA locking borrowing rate at 5.94%. In the given scenarios, the net outcome shall be as follows: If the rate turns out to be 4.50% If the rate turns out to be 6.50% FRA Rate 5.94% 5.94% Actual Interest Rate 4.50% 6.50% Loss/ (Gain) 1.44% (0.56%) FRA Payment / (Receipts) €50 m × 1.44% × 1/2 = €360,000 €50m x 0.56% × 1/2 = (€140,000) Interest after 6 months on €50 Million at actual rates = €50m x 4.5% × 1/2 = €50m x 6.5% × 1/2 = €1,125,000 = €1,625,000 Net Out Flow € 1,485,000 €1,485,000 Thus, by entering into FRA, the firm has committed itself to a rate of 5.94% as follows: € 1,485,000 / € 50,000,000 × 100 × 12/6 = 5.94% (ii) Since firm is a borrower it will like to off-set interest cost by profit on Future Contract. Accordingly, if interest rate rises it will gain hence it should sell interest rate futures. No. of Contracts = (Amount of Borrowing / Contract Size) × (Duration of Loan / 3 months) = (€ 50,000,000 / € 50,000) × (6 / 3) = 2000 Contracts The final outcome in the given two scenarios shall be as follows: If the interest rate turns out to be 4.5% If the interest rate turns out to be 6.5% Futures Course Action: Sell to open 94.15 94.15 Buy to close 95.50 (100 - 4.5) 93.50 (100 - 6.5) Loss/ (Gain) 1.35% (0.65%) Cash Payment (Receipt) for Future Settlement €50,000×2000×1.35%×3/12 = €337,500 €50,000×2000×0.65%×3/12 = (€162,500) Interest for 6 months on €50 million at actual rates €50 million × 4.5% × 1/2 = €11,25,000 €50 million × 6.5% × 1/2 = €16,25,000 €1,462,500 €1,462,500 Thus, the firm locked itself in interest rate € 1,462,500 / € 50,000,000 × 100 × 12/6 = 5.85%

Topics: Interest Rate Risk Management

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