Sales & Trading Interview Practice Test

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What are the limitations of the Black-Scholes model for option pricing?

It assumes constant volatility and interest rates, lognormal underlying returns, no dividends (unless adjusted), continuous hedging, no transaction costs; ignores skew, jumps, and liquidity.

Black-Scholes limitations come from its simplifying assumptions about how markets behave. It treats volatility and the risk-free rate as constant, and it models stock prices with a lognormal distribution and continuous, frictionless hedging with no transaction costs. It also assumes no dividends unless you adjust the model, and it effectively ignores more complex features managers care about in reality, like volatility skew, jumps in prices, and liquidity constraints. These gaps mean the model can misprice options in markets where volatility varies by strike and time, rates move, prices jump on events, dividends exist, or trading costs and liquidity affect hedging.

The other statements don’t fit because Black-Scholes does not account for stochastic volatility and jumps exactly, it assumes continuous hedging rather than discrete hedging with costs, and it does not assume a normal distribution with heavy tails (it uses a lognormal process for prices).

It accounts for stochastic volatility and jumps exactly.

It prices options with discrete hedging and transaction costs.

It assumes prices follow a normal distribution with heavy tails.

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