# Token Execution Fee Burden Elasticity — Local Finite-Change Analysis

> Token Execution Fee Burden Elasticity — Local Finite-Change Analysis is a paid API for AI agents from market.datapackvibe.com, paid per call via x402, $0.01/call, status unknown (last checked 2026-10-12).

Computes the local finite-change elasticity of a token's execution fee relative to its notional value, quantifying how sensitively the fee-to-notional ratio responds to small percentage changes in either fee or notional.

## Facts

- Endpoint: POST https://market.datapackvibe.com/x402/assistant-bx-token-fee-burden-elasticity?utm_source=zero.xyz
- Price: $0.01/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-12
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/token-execution-fee-burden-elasticity-local-finite-change-analysis-dbb028c2
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_7pIcQGY1eKlJTD1rCnElo

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability token-execution-fee-burden-elasticity-local-finite-change-analysis-dbb028c2 -d '<json body>'
```

Example prompt: Calculate the local finite-change elasticity of the execution fee relative to notional for a trade with a $2 fee and $1000 notional, varying the fee_usd field with a 1% step — I want to know how sensitive the fee burden ratio is to small changes in the fee.

## When to prefer this

Choose this endpoint when you need a fast, deterministic, single-call elasticity measurement for a token's fee-to-notional ratio at a specific baseline point, without requiring live market data or a full portfolio scan. It is especially useful for pre-trade sensitivity checks, fee structure comparisons, or DeFi protocol analysis where you want to quantify marginal fee burden changes in a reproducible way.

## Known failure modes

- notional_usd of zero (excluded by exclusiveMinimum constraint) returns validation error
- step_percent outside 0.01–10 range rejected
- field value not in enum ['fee_usd','notional_usd'] causes validation failure
- extremely large or malformed numeric inputs may return boundary errors
- missing required baseline sub-fields (fee_usd, notional_usd) returns 400 error

## How this service works

Token execution fee relative to notional — Local finite-change elasticity: Local finite-change elasticity for Token execution fee relative to notional. Supplied token observations only. Deterministic calculation or caller-threshold verdict, not a live scan, safety proof or trade recommendation. Specialised preset in a shared 50-profile, 20-operation engine. 0.01 USDC includes one bounded local finite-change elasticity report.

## Output

A bounded local finite-change elasticity report quantifying how the fee-to-notional ratio responds to a specified small percentage change (step_percent) in the selected field (fee_usd or notional_usd), given a baseline fee and notional amount. Output is deterministic and based solely on supplied token observations — not a live market scan or trade recommendation.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "field": {
   "enum": [
    "fee_usd",
    "notional_usd"
   ],
   "type": "string",
   "default": "fee_usd"
  },
  "baseline": {
   "type": "object",
   "default": {
    "fee_usd": 2,
    "notional_usd": 1000
   },
   "required": [
    "fee_usd",
    "notional_usd"
   ],
   "properties": {
    "fee_usd": {
     "type": "number",
     "default": 2,
     "maximum": 10000000000000000,
     "minimum": 0
    },
    "notional_usd": {
     "type": "number",
     "default": 1000,
     "maximum": 10000000000000000,
     "minimum": 0,
     "exclusiveMinimum": 0
    }
   },
   "additionalProperties": false
  },
  "step_percent": {
   "type": "number",
   "default": 1,
   "maximum": 10,
   "minimum": 0.01
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/token-execution-fee-burden-elasticity-local-finite-change-analysis-dbb028c2/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from market.datapackvibe.com](https://www.zero.xyz/host/market.datapackvibe.com/llms.txt)