FRM resources
Market, credit, liquidity and operational risk
- Careers
Showing evidence and assumptions in a finance work sample
Separate observed facts, model assumptions and conclusions in a project note.
- Careers
Building a financial risk analyst work sample
Produce a model note with inputs, sensitivity and limitations.
- Comparisons
Simple and effective annualized trade-credit costs
Compare distinct rate conventions before comparing financing alternatives.
- Comparisons
Discrete and continuous compounding conventions
Compare mathematical growth factors without treating a benchmark as an investment product.
- Comparisons
Mutually exclusive and independent events
Use joint probabilities to distinguish non-overlap from independence, including the zero-probability edge case.
- Comparisons
IFRS S1 and GRI: different materiality questions
Distinguish sustainability-related financial information from significant impact reporting.
- Comparisons
Interest coverage and cash payment capacity
Distinguish an earnings-based quotient from the timing of cash available for a payment.
- Comparisons
Current, quick and cash ratios: comparing the numerators
Identify which current assets enter each stated measure.
- Comparisons
Operating cycle and cash conversion cycle
Distinguish the operating clocks from the net clock after supplier-payment timing.
- Comparisons
Negative screening and best-in-class selection
Compare a prohibited-activity rule with a within-sector ranking hurdle.
- Comparisons
Net working capital and current ratio
Separate an amount difference from a relative balance-sheet measure.
- Concepts
Conditional and joint probability: different denominators
Distinguish the share of all outcomes from the share within a conditioning event.
- Concepts
A level perpetuity and its convergence condition
Use the infinite-stream formula only with the required timing and positive discount rate.
- Concepts
Loss given default: understanding conditional severity
Distinguish LGD, recovery and expected loss in a simple credit example.
- Concepts
Macaulay duration: the present-value-weighted payment time
Understand duration as a weighted average of cash-flow arrival times.
- Concepts
Discounting with a negative periodic rate
Explain why a future fixed payment can have a present value above its amount.
- Concepts
Prior, likelihood and posterior probability
Identify the probability before evidence, the evidence model and the probability after conditioning.
- Concepts
Retained earnings and cash are different balances
Distinguish an accumulated equity component from a liquid asset.
- Concepts
Uncorrelated does not always mean independent
Use a finite non-linear model to show zero covariance alongside dependence.
- Concepts
Random variables, outcomes and events
Distinguish a model scenario, a numerical return mapping and an event set.
- Formulas
Accounting equation: assets, liabilities and equity
Read the accounting equation: assets, liabilities and equity formula, variables and scope.
- Formulas
Annuity-due values at a common date
Use the annuity-due values at a common date relationship with its timing and rate conditions.
- Formulas
Cash conversion cycle from its three components
Use the cash conversion cycle from its three components relationship with explicit definitions.
- Formulas
Cash ratio including short-term marketable securities
Read the cash ratio including short-term marketable securities formula, variables and scope.
- Formulas
Common-size balance-sheet percentage
Read the common-size balance-sheet percentage formula, variables and scope.
- Formulas
Continuous-compounding value of a single amount
Use the continuous-compounding value of a single amount relationship with its timing and rate conditions.
- Formulas
Correlation from covariance and standard deviations
Use matching units and positive standard deviations in the Pearson-correlation formula.
- Formulas
Current ratio: current assets divided by current liabilities
Read the current ratio: current assets divided by current liabilities formula, variables and scope.
- Formulas
Days of inventory on hand
Use the days of inventory on hand relationship with explicit definitions.
- Formulas
Days payable outstanding with an explicit purchases flow
Use the days payable outstanding with an explicit purchases flow relationship with explicit definitions.
- Formulas
Days sales outstanding and the sales denominator
Use the days sales outstanding and the sales denominator relationship with explicit definitions.
- Formulas
Debt-to-assets ratio with a matching denominator
Read the debt-to-assets ratio with a matching denominator formula, variables and scope.
- Formulas
Debt-to-equity ratio and its debt definition
Read the debt-to-equity ratio and its debt definition formula, variables and scope.
- Formulas
Basic economic order quantity
Use the basic economic order quantity relationship with explicit definitions.
- Formulas
Effective annual rate from a nominal quotation
Use the effective annual rate from a nominal quotation relationship with its timing and rate conditions.
- Formulas
Effective rate for a shorter or longer interval
Use the effective rate for a shorter or longer interval relationship with its timing and rate conditions.
- Formulas
Equity multiplier in a consistent DuPont chain
Use the equity multiplier in a consistent dupont chain relationship with explicit definitions.
- Formulas
Five-factor DuPont identity and denominator conditions
Use the five-factor dupont identity and denominator conditions relationship with explicit definitions.
- Formulas
Payment for a fully amortizing level-payment model
Use the payment for a fully amortizing level-payment model relationship with its timing and rate conditions.
- Formulas
Future value of dated cash flows at a common time
Use the future value of dated cash flows at a common time relationship with its timing and rate conditions.