What it means
Risk teams have two broad ways to answer the question of what a portfolio would be worth if markets moved. The quick way uses sensitivity measures, such as duration for bonds or delta for options, which estimate the change in value from a small move.
The thorough way, full valuation, reprices each instrument using its actual pricing model under the new conditions and then sums the results. The difference matters because most financial instruments do not change value in a straight line.
A bond's price rises more when yields fall than it falls when yields rise by the same amount, a curvature called convexity, and an option's value can behave very differently once the market moves past its strike price. Approximations quietly break down exactly when the numbers matter most, which is during large moves.
Full valuation is standard for stress testing and for scenario analysis, where the whole point is to examine severe moves. Regulators frequently expect banks and insurers to reprice portfolios fully under prescribed scenarios rather than relying on sensitivities, and internal risk committees increasingly ask for the same.
The cost is time and infrastructure. Repricing a portfolio of a hundred thousand positions under a thousand scenarios means a hundred million valuations, which is why firms reserve full valuation for periodic risk reporting while using sensitivities for intraday monitoring.
Grid computing and simplified pricing models are common compromises. The phrase also appears in a looser sense in corporate finance, meaning a complete valuation exercise covering all methods rather than a quick multiple.
The risk management meaning is the technical one, and context usually makes clear which is intended.
In practice
Real-world examples.
Example
A pension fund runs its liability-matching bond portfolio through a full valuation under five interest rate scenarios each quarter. The trustees see actual repriced values rather than duration estimates, which changes their hedging decision at the extreme scenarios.
Example
A bank's risk team calculates value at risk using historical simulation, repricing the entire trading book under each of the past 500 daily market moves. Full valuation is necessary because the book holds options whose behaviour is far from linear.
Example
An insurer preparing a regulatory stress test reprices its corporate bond holdings under a scenario combining a 200 basis point rate rise with widening credit spreads. The full valuation reveals a loss around 15% larger than the sensitivity-based estimate.
Think of it
“Full valuation is a complete analysis using all methods-not just one approach but a thorough study.
Formula
Calculation
Change in value = portfolio value under the scenario - current portfolio value, where each position is repriced individually
Take a bond portfolio currently worth $10,000,000 with a modified duration of 6.0 and convexity of 65. The scenario is an immediate 100 basis point, or 1 percentage point, rise in yields.
Approximation approach: estimated loss = duration x change in yield x value = 6.0 x 0.01 x $10,000,000 = $600,000, suggesting a portfolio value of $9,400,000. Adding the convexity adjustment of 0.5 x 65 x 0.01 x 0.01 x $10,000,000 = $32,500 gives $9,432,500.
Full valuation approach: each bond is repriced by discounting its actual cash flows at the new yields. Summing those individual prices gives a portfolio value of $9,431,000, an actual loss of $569,000 rather than the $600,000 the simple duration estimate implied. The $31,000 gap is the curvature that duration alone ignores, and on a 300 basis point shock the same gap would be far larger, which is why stress tests use full valuation.Case study
Seen in the real world.
Ashfield Mutual is a fictional insurer used here as an illustrative example. Its risk reports had for years estimated interest rate exposure using duration alone, and under a 100 basis point shock the model showed an acceptable $12,000,000 loss against $180,000,000 of capital.
A new chief risk officer asked for the same scenarios calculated by full valuation. For the modest 100 basis point move the answers were close, within about $400,000, which reassured the board. Under the severe scenario of a 300 basis point rise combined with spread widening, however, the duration estimate showed a $36,000,000 loss while full valuation produced $47,000,000, because several callable bonds and a swaption hedge behaved very differently at that level.
The board changed two things. It required full valuation for all severe scenarios and it restructured the swaption hedge, which had been sized on the flawed linear estimate. In this illustrative story the shortcut had been perfectly adequate for ordinary days and dangerously wrong for the days that would actually threaten the business.
Watch out
Common mistakes.
- Relying on duration or delta estimates for large market moves, where the linear approximation understates or overstates losses materially.
- Assuming full valuation is always more accurate, when a poorly specified pricing model can produce precise-looking numbers that are simply wrong.
- Running full valuation only on the largest positions, which misses concentrations of non-linear risk sitting in smaller ones.
Questions
People also ask.
When is a sensitivity approximation good enough?
For small daily moves and portfolios of straightforward instruments, sensitivities are quick and close enough for routine monitoring.
Why is full valuation so computationally expensive?
Because every position must be repriced under every scenario, so the workload multiplies by the number of positions and the number of scenarios together.
Does full valuation remove model risk?
No, it depends entirely on the pricing models used, so a wrong volatility assumption or an unsuitable model still produces a wrong answer.
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