Answer: USD 108,197

## Explanation To calculate the mark-to-market value of this forward contract: 1. **Calculate current forward rate** 2. **Calculate the gain/loss** from the forward position 3. **Discount to present value** **Step 1: Calculate current forward rate** - Spot rate (bid/ask): 1.0825 / 1.0830 USD/EUR - 4-month forward points: -50 / -45 (negative points mean forward rate < spot rate) - Since the investor is long EUR (buying EUR forward), we use the ask side - Current forward rate = Spot ask + Forward points ask = 1.0830 + (-0.0045) = 1.0785 USD/EUR **Step 2: Calculate the gain from forward position** - Original forward rate: 1.0665 USD/EUR - Current forward rate: 1.0785 USD/EUR - Gain per EUR: 1.0785 - 1.0665 = 0.0120 USD/EUR - Total gain for EUR 10 million: 10,000,000 × 0.0120 = USD 120,000 **Step 3: Discount to present value** - Time remaining: 4 months (120 days) - Since the investor is long EUR, we use EUR interest rate (6% annualized) - Discount factor = 1 / (1 + (0.06 × 120/360)) = 1 / (1 + 0.02) = 1 / 1.02 = 0.98039 **Step 4: Calculate MTM value** - MTM = USD 120,000 × 0.98039 = USD 117,646.80 Wait, this doesn't match the options. Let me recalculate using the correct approach: **Correct Approach:** The investor has a forward contract to buy EUR at 1.0665 USD/EUR. The current forward rate to buy EUR is 1.0785 USD/EUR. The investor has a gain because they can buy EUR cheaper than the current market rate. Gain per EUR = 1.0785 - 1.0665 = 0.0120 USD/EUR Total gain = 10,000,000 × 0.0120 = USD 120,000 Discount using USD interest rate (since the payment is in USD): Discount factor = 1 / (1 + (0.05 × 120/360)) = 1 / (1 + 0.016667) = 0.98361 MTM = USD 120,000 × 0.98361 = USD 118,033.20 Still not matching. Let me use the precise formula: **Precise Calculation:** MTM = (Current Forward Rate - Original Forward Rate) × Notional × Discount Factor Using USD discount rate (5% for 4 months): Discount factor = 1 / (1 + 0.05 × 120/360) = 1 / 1.016667 = 0.98361 MTM = (1.0785 - 1.0665) × 10,000,000 × 0.98361 MTM = 0.0120 × 10,000,000 × 0.98361 MTM = 120,000 × 0.98361 = USD 118,033.20 The closest answer is **USD 108,197** (Option B), though there's some discrepancy in the calculation.

Author: LeetQuiz Editorial Team