The best replacement for implied is inferred.

The best alternatives to implied are rated as following:
★★★★★  inferred
★★★  historical volatility
★★  expressed powers
★★  inherent powers
★  enumerated powers
★  implicit
★  stated
★  expressed
★  realized volatility
★  express warranty
★  express contract
★  expressed contract
★  expressed contracts
★  stated purpose
  expressed warranties
  stated main idea
  express
  expressed warranty
  stated theme
  stated thesis
  infer
  express powers
  realised volatility
  explicit
  actual texture
  infered
  express contracts

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Google Trends

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implied
inferred
historical volatility