
Answer-first summary for fast verification
Answer: Interest rates are known and constant.
B is correct. The Black-Scholes-Merton (BSM) model makes several key assumptions: 1. **Continuous price movements**: The underlying asset price follows a geometric Brownian motion with continuous paths 2. **Constant interest rates**: The risk-free interest rate is known and constant 3. **Constant volatility**: The volatility of returns is constant 4. **No dividends**: The underlying pays no dividends during the option's life 5. **No transaction costs**: Perfect liquidity and frictionless markets 6. **European-style exercise**: Options can only be exercised at expiration 7. **Log-normal distribution**: Returns are log-normally distributed All options A, C, and D are actually correct assumptions of the BSM model, but the question appears to be asking for which one is specifically correct, and the answer provided in the text is B.
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