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Answer: b) American style prepayment option
**Correct answer: American style prepayment option** Monte Carlo methods are very good at pricing instruments whose payoff depends on the path of rates, but they are most challenged by **American-style exercise**, because the optimal exercise decision must be made before maturity. Why the other choices are easier: - **European style**: payoff determined only at maturity; easiest for Monte Carlo. - **Barrier knock-in**: path dependent, but the payoff rule is still mechanically defined. - **Asset-or-nothing / cash-or-nothing combination**: payoff is discontinuous, but still determined by the terminal state. The **American-style** feature introduces the greatest difficulty because it requires modeling the timing of exercise, which is the hardest case for basic Monte Carlo simulation.
Author: Manit Arora
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Q-55.5 If an exotic option were used to as a proxy for the prepayment option, which exotic would give Tuckman’s Monte Carlo the MOST DIFFICULTY?
A
a) European style prepayment option
B
b) American style prepayment option
C
c) Barrier knock-in prepayment option
D
d) Long asset-or-nothing call plus short cash-or-nothing call
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