Skip to page content

PMP Training and Exam Preparation · Complete public sample

Compare response cost with residual expected loss

Include the response's certain cost as well as the risk that remains after it.

Understand the governing concept.

Expected monetary loss is the probability of a threat multiplied by its monetary consequence under a defined model. For a mitigation option, add its certain implementation cost to the residual expected loss. Comparing only the residual probability can hide a response that costs more than the reduction it buys.

Use expected cost within the decision rule the scenario supplies. A single expected value does not describe the worst case, cash-flow exposure, mandatory compliance or stakeholder risk tolerance. A response can still be required for reasons beyond expected cost; identify those constraints before making a recommendation.

By the end of this refresher

  • Explain the basis or assumption controlling this decision.
  • Apply the method within its stated limits.
  • Check the result and choose a related study task.
EA=pAL,EM=CM+pMLE_A=p_A L,\qquad E_M=C_M+p_M L

Compare acceptance's expected loss with mitigation's certain response cost plus residual expected loss under the supplied decision rule.

Define the basis before substituting a value
SymbolMeaningUnit or basis
pA,pMp_A,p_MOccurrence probabilities before and after mitigationdimensionless fractions
LLLoss conditional on occurrence$
CMC_MCertain mitigation expense$
EA,EME_A,E_MTotal modeled expected monetary costs$ on the same stated basis

When the method applies

  • The examples assume one threat, a fixed conditional loss and a certain response cost, with no other impacts or mandatory responses. They supply authority to use the lower expected monetary cost.
  • Expected loss is not a guaranteed expenditure or automatically the appropriate contingency reserve. A particular risk will occur or not occur; reserve policy and aggregate uncertainty need separate analysis.
Accepting has expected loss of20000dollars. Mitigation costs8000dollars plus8000dollars residual expected loss, for16000dollars under the supplied authorized decision rule.
Include response expense and residual expected loss. Use the worked-case givens and limits below. Open the diagram for a full-size view; scroll horizontally on a narrow screen.

Original teaching case

Work the decision, then cross-check it.

A sponsor authorizes choosing the lower expected-cost option for one threat and can fund the response. Accepting the threat leaves a 25% probability of an $80,000 loss. An $8,000 mitigation expense reduces that probability to 10%, with the same loss if the event occurs. No other impacts or mandatory responses apply.

  1. Acceptance has expected loss 0.25 × $80,000 = $20,000.
  2. Mitigation has total expected cost $8,000 + 0.10 × $80,000 = $16,000.
  3. Mitigation is $4,000 lower under the sponsor's authorized expected-cost rule. The residual $80,000 consequence still needs an owner and monitoring.
EA=0.25(80,000)=$20,000,EM=8,000+0.10(80,000)=$16,000E_A=0.25(80{,}000)=\$20{,}000,\qquad E_M=8{,}000+0.10(80{,}000)=\$16{,}000

Decision

Recommend mitigation under the supplied rule, while documenting its residual risk.

Independent check

The expected-loss reduction is $12,000; subtracting the $8,000 certain response cost leaves a $4,000 expected-cost advantage.

A fresh application

Use the concept under changed conditions.

Choose a response before inspecting the reasoning. This is a learning check, separate from scored diagnostic and mock attempts.

A sponsor authorizes the lower expected monetary cost and has funds for either option. One threat has a 30% probability of a $60,000 loss. A certain $7,000 mitigation expense reduces the probability to 10%, with the same conditional loss. No other impacts or required responses apply. Which recommendation and expected cost are correct?

Connect this refresher to your program.

PMP is a closed-book examination; PMBOK and the Certification Handbook are not supplied exam references. Refresh the principles behind stakeholder, delivery, risk, governance and value decisions. This topic is classified as understanding and application; no individual reference omission has been verified.

Supplementary exam preparation. This refresher does not add instructional credit to the 35-hour guided course or change certificate requirements.

Original ReasonSpan™ teaching material. AI-assisted checks are complete; independent specialist review remains pending.