Which equation best defines the formula for expected monetary value (EMV) of a risk?

Which equation best defines the formula for expected monetary value (EMV) of a risk?

• A. EMV = Cost × Time
• B. EMV = Probability × Value
• C. EMV = Value × Time
• D. EMV = Probability × Time

Answer: (B)

The main idea is that expected monetary value (EMV) quantifies a risk by combining how likely the event is with how big the financial impact would be if it happens. EMV is found by multiplying the probability of the risk event by the monetary value of its impact. This gives an average monetary expectation across many repetitions of the risk. So, EMV equals probability times value because you’re weighing the potential money you could gain or lose by how likely that outcome is. Time or cost aren’t part of this calculation in the standard EMV formula; time is about duration, and cost is a separate measure of expense rather than the probabilistic monetary outcome of a risk event. For example, if there’s a 20% chance of incurring a $50,000 cost due to a risk, the EMV would be 0.20 × 50,000 = $10,000.

The main idea is that expected monetary value (EMV) quantifies a risk by combining how likely the event is with how big the financial impact would be if it happens. EMV is found by multiplying the probability of the risk event by the monetary value of its impact. This gives an average monetary expectation across many repetitions of the risk.

So, EMV equals probability times value because you’re weighing the potential money you could gain or lose by how likely that outcome is. Time or cost aren’t part of this calculation in the standard EMV formula; time is about duration, and cost is a separate measure of expense rather than the probabilistic monetary outcome of a risk event.

For example, if there’s a 20% chance of incurring a $50,000 cost due to a risk, the EMV would be 0.20 × 50,000 = $10,000.