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Valuation Analytics Engine

Mathematical Framework for Auction Intelligence

Input Parameters

Current State

7.5

Market Context

0.15

Auction Estimates

Fair Market Value (FMV)
€8,500.00
87% confidence
Undervaluation Score
0.153
15.3% below fair value
Predicted Final Price
€8,900.00
95% CI: €8,200 - €9,600

1. Fair Market Value (FMV)

FMV = Σ(Pi · ωc · ωt · ωp · ωh) / Σ(ωc · ωt · ωp · ωh)

Explanation: Weighted average of comparable sales where each comparable is weighted by:

  • ω_c Condition similarity (exponential decay)
  • ω_t Age proximity (exponential decay)
  • ω_p Provenance premium (linear boost)
  • ω_h Historical relevance (logistic function)

2. Undervaluation Detection

Uscore = (FMV - Pcurrent)/FMV · σmarket · (1 + Bvelocity/10) · ln(1 + Wwatch/Wbid)

Explanation: Quantifies mispricing opportunity factoring:

  • Price gap percentage
  • Market volatility multiplier
  • Bid velocity acceleration
  • Watch-to-bid ratio (buyer intent)

Alert threshold: Uscore > 0.25

3. Final Price Prediction

final = FMV · (1 + εbid + εtime + εcomp)

Explanation: Adjusts FMV for auction dynamics:

  • ε_bid Bid momentum (tanh function)
  • ε_time Time pressure (exponential decay)
  • ε_comp Competition level (logarithmic)

4. Condition Multiplier

Mcond = exp(αc · √Ctarget - βc)

Explanation: Normalizes prices across condition states using square-root scaling:

  • C = 10 (mint): 1.48x premium
  • C = 7.5 (good): 1.12x premium
  • C = 5 (avg): 0.91x discount

Bidding Strategy Recommendations

€9,200
Recommended Max Bid
Standard strategy
10 min
Optimal Bid Timing
Before close
Medium
Competition Level
2.3 bids/min
Analysis: Bid velocity is moderate (2.3 bids/min) with high watch count indicating potential sniping.
Recommendation: Wait until final 10 minutes. Set max bid at €9,200 (7% above FMV) to secure lot while avoiding bidding war.
Risk Factors: High watch-to-bid ratio (87:8) suggests aggressive sniping likely. Reserve may be close to current bid.

Condition Sensitivity

How FMV changes with condition score. Current: 7.5

Time Pressure Impact

Final price prediction vs. time to close. Current: 45 min

Calculation Log

System initialized. Ready for calculations...