Calculation Methodology
A detailed breakdown of the mathematical models running behind our price indices.
How Rates Are Formulated
Our calculation pipeline works in three distinct mathematical phases to bridge the gap between global commodity prices (quoted in ounces/USD) and local Pakistani rates (quoted in tolas/PKR).
Phase 1: Gram Spot Conversion (PKR)
First, we convert the international gold spot price (per troy ounce) into a price per gram using the constant factor of 31.1035 grams per troy ounce. This is then multiplied by the interbank USD to PKR exchange rate:
Phase 2: Weight Metrics (Tola & 10 Grams)
Next, we scale the gram price to common Pakistani weights. The 10-gram weight is a simple multiplier of 10. The tola is scaled using the benchmark factor of 11.6638 grams per tola:
Phase 3: Karat Multipliers
Lastly, to determine rates for different purity levels, we multiply the base 24K rate (100% gold content) by the exact gold purity ratio of each karat level:
- 22K (91.67% gold): 24K Price * 0.9167
- 21K (87.5% gold): 24K Price * 0.875
- 18K (75.0% gold): 24K Price * 0.75
- 14K (58.33% gold): 24K Price * 0.5833