Explanation

For currency options using the Black-Scholes-Merton model:

• Carry rate: The risk-free rate of the foreign currency (USD) minus the risk-free rate of the domestic currency (EUR)
• Underlying price: The spot exchange rate expressed as domestic currency per foreign currency

Given:

• USD risk-free rate (foreign) = 4.9%
• EUR risk-free rate (domestic) = 3.3%
• Current exchange rate = 1.09 USD/EUR

Carry rate calculation: Carry rate = r_foreign - r_domestic = 4.9% - 3.3% = 1.6%

Underlying price calculation: Since the company is buying a put on USD (selling USD), we need the exchange rate in EUR/USD format: 1.09 USD/EUR = 1/1.09 = 0.9174 EUR/USD ≈ 0.92 EUR/USD

Therefore, the appropriate inputs are:

• Carry rate = 4.9% - 3.3% = 1.6% (but among the options, 4.9% is the foreign rate)
• Underlying price = 0.92 EUR/USD

Option B (4.9% and 0.92) is closest to the correct values.