Currency Hedge Bda64B
1. **Problem Statement:** Elan Pharmaceuticals is evaluating an export sale of 1,630 million Indonesian rupiah (Rp). The current spot rate is Rp9450/$, so the sale translates to $172,486.77. The company requires a minimum gross margin of $165,000. The 90-day forward rate is Rp9920/$, and the expected spot rates in 90 days vary. We need to analyze how much Elan will receive in USD under different scenarios and recommend a hedging strategy.
2. **Formula and Explanation:**
To convert rupiah to USD, use the formula:
$$\text{USD amount} = \frac{\text{Rp amount}}{\text{exchange rate (Rp/USD)}}$$
- Without a hedge, the amount received depends on the spot rate in 90 days.
- With a forward hedge, the amount is fixed at the forward rate.
3. **Calculations:**
**Part 1:** Expected spot rate in 90 days = Rp9450/$
$$\text{USD} = \frac{1,630,000,000}{9,450} = 172,486.77$$
**Part 2:** Expected spot rate in 90 days = Rp10,230/$
$$\text{USD} = \frac{1,630,000,000}{10,230} = 159,335.29$$
**Part 3:** Expected spot rate in 90 days = Rp9920/$
$$\text{USD} = \frac{1,630,000,000}{9,920} = 164,314.52$$
**Part 4:** With a forward market hedge at Rp9920/$, the amount is fixed:
$$\text{USD} = \frac{1,630,000,000}{9,920} = 164,314.52$$
4. **Interpretation:**
- Without a hedge, if the rupiah strengthens (higher Rp/USD), Elan receives less USD.
- The minimum required is $165,000, but the forward hedge guarantees $164,314.52, slightly below the minimum.
- The expected spot rate of Rp9450/$ yields $172,486.77, which is above the minimum.
5. **Recommendation:**
- If Elan expects the rupiah to weaken or stay around Rp9450/$, not hedging could yield more than the minimum.
- If the rupiah strengthens as forecasted (Rp10,230/$), Elan would receive less than the minimum without a hedge.
- The forward hedge locks in a known amount close to the minimum, reducing risk.
**Final answers:**
- Part 1: $172,486.77
- Part 2: $159,335.29
- Part 3: $164,314.52
- Part 4: $164,314.52