Mapping Bank Account Balances to Maturities for ALM Hedging

Summary

The document discusses how commercial banks can assign client account balances to maturity buckets for asset-liability management. It recommends mapping assets and liabilities, using gap analysis to identify maturity slots with deficits, and hedging those exposures. It also presents a model for estimating a balance at a chosen horizon: start from the current balance and apply a geometric Brownian motion style adjustment based on balance volatility and a selected confidence quantile.

The proposed inputs include the current balance, mapping horizon, a quantile such as a high confidence level, and volatility estimated over a historical lookback. The answer also points readers toward banking risk management references. However, it provides no derivation, calibration evidence, or comparison with alternative approaches, and the formula’s assumptions are only briefly described. Treat the geometric Brownian motion specification as a suggested approach rather than a universal banking standard; the note does not explain how to model customer behavior, withdrawals, or stable versus volatile balances.

Key ideas

• Map bank assets and liabilities into maturity buckets before assessing exposure.
• Gap analysis can reveal maturity slots where liabilities and assets are mismatched.
• A proposed balance estimate scales the current balance using horizon, volatility, and a confidence quantile.
• The example assumes balances behave like a geometric Brownian motion.
• The document does not establish the formula as a universal standard or provide validation evidence.

Tags

# Standars for assigning maturities and hedging account balances in commercial banks


# Standars for assigning maturities and hedging account balances in commercial banks












I was wondering wich is the standard for pricing clients account balances in commercial banks. Is there any book that adress alm problems?

## Answer by AK88 (score 1)

https://quant.stackexchange.com/a/30757

Look at the p.65 of this document. They reveal some information regarding the mapping of the assets and liabilities. Based on this mapping, you could perform gap analysis and see if you have any deficit in a given maturity slot and then hedge accordingly.

Joel Bessis' books on Banking Risk Management may also be useful.

UPDATE: Alright, here is the approach that is used:

$V(T) = V_0 e^{(-q \sigma \sqrt{T - 0.5 T \sigma^2})}$

$V_0$ - clients' account balances today (or on calculation date)

$T$ - periods of mapping (could be 3M, 6M, 9M, 1Y, etc.)

$q$ - quantile (95%, 99%, etc.)

$\sigma$ - volatility of the clients' account balances over a time period (12M, 24M, 36M)

Basically, the account balance follows GBM with chosen confidence level $q$.

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.