Economic Value Of Equity Calculator
What Is the Economic Value of Equity?
The economic value of equity (EVE) is the net present value of a bank's balance sheet: the present value of everything the bank owns minus the present value of everything it owes. Unlike book equity, which follows accounting rules, EVE reflects what the balance sheet is actually worth at current market interest rates.
EVE = Present Value of Assets - Present Value of Liabilities
Regulators care about EVE because it is a long-horizon measure of interest rate risk. A bank can report healthy quarterly earnings while sitting on a balance sheet that would lose a large share of its economic value if rates moved. EVE catches what short-term earnings measures miss.
Why the Old Formula Was Wrong
A common mistake, which this page previously made, is to add "equity capital" on top of assets minus liabilities. That double counts: equity is already the residual of assets minus liabilities. International guidance, including the Bank of England's supervisory statements, is explicit that the bank's own equity should be excluded from the EVE calculation. This calculator now uses the correct formula: EVE equals the present value of assets minus the present value of liabilities, nothing added.
How the Rate Shock Test Works
The real power of EVE is not the single number but its sensitivity to rate changes, called ΔEVE. This calculator re-values both sides of the balance sheet under an interest rate shock:
- Enter the present value of assets and liabilities, plus the average duration of each side in years.
- Pick a shock: -200, -100, +100, or +200 basis points, or type a custom value. (Basel guidance commonly uses a 200 basis point parallel shock.)
- The calculator re-discounts each side using PV / (1 + Δr)^duration and reports the new EVE and the change.
Why duration matters: a 10-year loan portfolio falls in value much more when rates rise than a portfolio of 1-year loans does. The gap between asset duration and liability duration is the main driver of EVE risk.
Worked Example
Take a bank with $800 million of assets at 4 years duration and $720 million of liabilities at 2 years duration. Base EVE is $800M - $720M = $80 million.
Now shock rates up by 200 basis points (Δr = 0.02):
- Assets: $800M / 1.02^4 = $739.08M
- Liabilities: $720M / 1.02^2 = $692.04M
- Shocked EVE = $739.08M - $692.04M = $47.03M
- ΔEVE = -$32.97M, about -41% of base EVE
That is a large exposure to rising rates, the kind of finding that would prompt hedging or balance sheet restructuring. Note the asymmetry: because assets have longer duration, they lose value faster than liabilities do when rates rise.
EVE vs. Earnings at Risk
Two companion metrics split the interest rate risk job:
- EVE is the long-term view: how the economic value of the whole balance sheet responds to rate moves over the life of all positions.
- Earnings at Risk (EaR) / Net Interest Income sensitivity is the short-term view: how net interest income over the next 12 months responds.
Supervisors expect banks to monitor both. A bank can look safe on one and exposed on the other, which is why the pair is standard in asset-liability management (ALM).
What Banks Do With EVE Results
- Stress testing: run prescribed shocks (such as ±200 bps) and report ΔEVE to the board and supervisors.
- Hedging: use interest rate swaps or options to close duration gaps the test reveals.
- Balance sheet strategy: shift toward shorter assets or longer-term funding when exposure is uncomfortable.
- Capital planning: feed EVE sensitivity into the internal capital adequacy assessment process (ICAAP).
Limitations
- Duration is an approximation. This calculator uses a single average duration per side. Real banks model thousands of individual cash flows with behavioral assumptions for deposits that have no fixed maturity.
- Embedded options are ignored. Prepayment options on mortgages and early withdrawal options on deposits change effective duration when rates move.
- Parallel shocks are stylized. Real yield curves twist and steepen; a parallel shift is a simplification used for comparability.
- For education, not supervision. This tool illustrates the mechanics of EVE. Regulatory reporting requires validated models and full balance sheet data.
Frequently Asked Questions
What is a good EVE ratio?
Supervisors often look at ΔEVE relative to Tier 1 capital. Under Basel guidance, a decline in EVE of more than 15% of Tier 1 capital under the prescribed shocks flags a bank as an outlier that may face additional scrutiny. There is no single "good" level for EVE itself; it depends on the bank's size and strategy.
Why did the calculator remove the equity capital input?
Because adding equity capital to assets minus liabilities double counts it. Equity is already the residual claim on assets after liabilities. Regulatory guidance explicitly excludes own equity from the EVE computation.
What is a basis point?
One hundredth of a percentage point. 100 basis points equals 1%, so a 200 basis point shock means rates move up or down by 2 percentage points.
Why does the calculator need durations?
Duration measures how sensitive a present value is to rate changes. Without it, the tool could only report the static EVE number and could not estimate what happens when rates move, which is the entire point of EVE analysis.
Can EVE be negative?
Yes, if the present value of liabilities exceeds the present value of assets. That signals the institution's economic net worth is negative at current rates, a serious condition.
How often should banks compute EVE?
Supervisory guidance generally expects at least quarterly computation, with more frequent monitoring for banks with significant interest rate risk.