The team has identified a risk they want to accept as an opportunity to finish the project earlier, but the sponsor is risk-averse and may not accept it. What should the project manager do?

The correct answer is to conduct a Monte Carlo analysis. This quantitative risk analysis technique simulates various project outcomes based on probability distributions of cost and schedule variables. It provides a range of possible completion dates and their associated probabilities, offering data-driven insights into the likelihood of finishing early. This objective data can help the risk-averse sponsor understand the potential benefits and risks of accepting the opportunity. Creating a contingency reserve (option A) is for mitigating negative risks, not for evaluating opportunities or convincing a sponsor. Explaining it as a "nonevent type of risk" (option C) is dismissive and lacks professional justification, unlikely to sway a risk-averse sponsor. Convincing the sponsor based solely on cost savings (option D) without quantitative analysis is speculative and may not address their risk concerns adequately.