Correlation between international markets and domestic markets
This sub‑topic explains how international commodity markets move in relation to Indian domestic markets. Understanding correlation helps a research analyst gauge price transmission, risk, and diversification benefits. The concept is frequently tested in the NISM Series XV exam, especially in questions that link global trends to Indian commodity pricing.
Learning Objectives
- 1Define correlation and distinguish it from causation.
- 2Calculate the Pearson correlation coefficient for commodity price series.
- 3Identify key drivers of international‑domestic market linkage.
- 4Apply correlation insights to valuation, risk assessment, and portfolio construction.
Understanding Correlation in Commodity Markets
Correlation measures the statistical relationship between two variables – in this case, the price movements of a commodity in an international market and the same commodity traded on Indian exchanges. A correlation coefficient (r) ranges from –1 to +1, where +1 indicates perfect positive movement, –1 indicates perfect inverse movement, and 0 denotes no linear relationship.
For a research analyst, correlation is a diagnostic tool. It tells whether global price shocks are likely to be reflected in domestic prices, which influences forecast assumptions, risk models, and recommendation narratives. SEBI expects analysts to justify their price expectations with evidence of market linkages, making correlation a core analytical element.
Exam questions often present a table of historical returns and ask candidates to interpret the sign and magnitude of r, or to choose the correct implication for portfolio diversification. Remember that correlation does not prove causation – a high r simply signals co‑movement, not the underlying cause.
- Positive correlation – domestic price tends to rise when the international price rises.
- Negative correlation – domestic price moves opposite to the international price.
Many candidates select “global price causes domestic price” when r is high. The correct answer is that correlation only indicates co‑movement; other factors like currency or policy may drive the link.
Statistical Measure of Correlation
Where:
X_i= i\textsuperscript{th} observation of international commodity priceY_i= i\textsuperscript{th} observation of domestic commodity price\bar{X}= Mean of the international price series\bar{Y}= Mean of the domestic price seriesr= Pearson correlation coefficient (unitless)Worked Example
Given four paired observations: International (X): 10, 12, 14, 16 Domestic (Y): 20, 22, 24, 26 Step 1: Compute means \bar{X}=13, \bar{Y}=23 Step 2: Numerator = Σ (X_i-13)(Y_i-23) = (-3)(-3)+(-1)(-1)+(1)(1)+(3)(3)=20 Step 3: Σ (X_i-13)^2 = 20 ; Σ (Y_i-23)^2 = 20 Step 4: Denominator = sqrt(20 \times 20)=20 Step 5: r = 20/20 = 1 Verification: \frac{20}{\sqrt{20\times20}} = 1.
After calculating r, interpret its magnitude. A value between 0.7 and 1.0 (or –0.7 and –1.0) is considered strong, 0.3 to 0.7 (or –0.3 to –0.7) moderate, and below 0.3 (or –0.3) weak. Strong positive correlation between crude oil futures on NYMEX and MCX suggests that Indian oil prices will largely mirror global price swings, a key input for valuation models.
Statistical significance is also examined. With limited observations, a high r may occur by chance. The NISM syllabus expects you to know that a t‑test or p‑value is used to confirm significance, but for exam purposes, focus on the magnitude and sign unless the question explicitly asks for significance testing.
Remember to use the same frequency (daily, weekly, monthly) for both series before computing r. Mismatched frequencies distort the coefficient and lead to incorrect conclusions.
Factors Driving International‑Domestic Correlation
Several macro‑economic and market‑specific drivers shape the degree of correlation. First, the degree of import‑dependence matters: commodities that India imports heavily (e.g., crude oil, copper) tend to show higher correlation with global spot prices because domestic supply is directly linked to overseas markets.
Second, currency fluctuations influence the effective domestic price. A depreciation of the Indian rupee amplifies the impact of international price movements, raising the correlation coefficient. Conversely, a stable rupee can dampen the transmission.
Third, regulatory and policy interventions such as export bans, import duties, or strategic reserves can break the link, creating a lower correlation. For example, when the government imposes a temporary export restriction on gold, domestic prices may diverge from international trends.
Finally, market liquidity and the presence of hedging instruments (futures, options) affect price discovery. Well‑developed derivative markets on both sides promote tighter co‑movement.
Key Drivers and Their Typical Impact on Correlation
| Driver | Mechanism | Expected Effect on Correlation |
|---|---|---|
| Import Dependence | Domestic supply sourced from abroad | Higher positive correlation |
| Currency Volatility | Rupee depreciation/appreciation | Amplifies (depreciation) or dampens (appreciation) correlation |
| Policy Interventions | Export bans, import duties, buffer stock releases | Can reduce correlation if measures are strong |
| Market Liquidity | Depth of futures & spot markets | Higher liquidity tightens correlation |
Implications of High vs Low Correlation for Research Analysts
When correlation is high, analysts can rely on global price forecasts to shape domestic price expectations. This simplifies the valuation process – a forward model built on international price assumptions, adjusted for currency, often suffices.
Low or negative correlation signals that domestic factors dominate. In such cases, analysts must dig deeper into local supply‑demand dynamics, policy changes, and seasonal patterns. Ignoring low correlation can lead to over‑reliance on global data and inaccurate recommendations.
Portfolio construction also depends on correlation. A commodity with low correlation to the global basket adds diversification benefits to a fund that already holds globally linked assets. Conversely, a highly correlated commodity offers limited diversification but may be used for tactical exposure to global trends.
A common error is to project domestic prices directly from international prices just because r is high. Analysts must still adjust for currency, taxes, and local market frictions.
Correlation of Selected Indian Commodities with MSCI World Index (2022‑2023)
Using Correlation in Valuation and Risk Assessment
Analysts incorporate correlation into risk models such as Value‑at‑Risk (VaR) for commodity portfolios. The covariance matrix, built from pairwise correlations, determines the overall portfolio volatility. Higher correlation among holdings raises VaR, signalling greater risk.
In discounted cash‑flow (DCF) valuation of a commodity‑linked project, the discount rate may be adjusted for systematic risk using the Capital Asset Pricing Model (CAPM). Here, the beta of the commodity is derived from its correlation with a market index: \beta = r \times \frac{\sigma_{commodity}}{\sigma_{market}}. Though the exact beta formula is not required for this sub‑topic, understanding that beta is a function of correlation helps answer conceptual questions.
Finally, correlation informs hedging decisions. If an Indian commodity shows strong correlation with an international futures contract, a researcher can recommend cross‑border hedges to mitigate price risk. Low correlation would suggest using domestic derivatives instead.
Scenario
An analyst at a brokerage is preparing a price forecast for Indian crude oil (MCX) for the next quarter. Historical data shows a Pearson correlation of 0.92 between MCX crude and Brent crude over the past 24 months. The analyst has a Brent price forecast of $85 per barrel and expects the rupee to depreciate by 2% over the quarter.
Solution
Step 1: Start with the Brent forecast of $85. Step 2: Apply the high correlation assumption – the analyst assumes MCX will move proportionally with Brent. Step 3: Adjust for currency: a 2% rupee depreciation increases the domestic price in rupee terms by roughly 2%. Step 4: Convert $85 to INR at the current rate (assume $1 = ₹82) → $85 × 82 = ₹6,970. Step 5: Add 2% currency impact: ₹6,970 × 1.02 ≈ ₹7,109. The analyst reports an MCX crude forecast of approximately ₹7,100 per barrel, citing the 0.92 correlation as justification.
Conclusion
The example demonstrates how a high correlation coefficient guides price linkage, but the analyst still incorporates a currency adjustment, reflecting the exam’s emphasis on comprehensive reasoning.
⭐Exam Takeaways
- Correlation (r) measures linear co‑movement; +1 = perfect positive, –1 = perfect negative, 0 = no linear relationship.
- Pearson formula: r = Σ[(X_i‑X̄)(Y_i‑Ȳ)] / √[Σ(X_i‑X̄)² × Σ(Y_i‑Ȳ)²]; a worked example yields r = 1 for perfectly aligned data.
- Key drivers of international‑domestic correlation include import dependence, currency movements, policy interventions, and market liquidity.
- High correlation allows analysts to use global price forecasts with currency adjustments; low correlation requires deeper domestic analysis.
- Correlation feeds into risk models (VaR), beta calculation, and hedging strategy decisions, but never replace a full fundamental assessment.
Practice Questions
8 questions on Correlation between international markets and domestic markets
What is the range of values that a Pearson correlation coefficient (r) can take?
Which driver is most likely to increase the positive correlation between an international commodity price and its Indian domestic price?
According to the material, a Pearson r value of 0.65 would be classified as:
In the Pearson correlation formula, the denominator is the product of:
If the Indian government imposes a temporary export restriction on gold, the expected effect on the correlation between international gold prices and domestic gold prices is to:
An analyst forecasts Brent at $85 per barrel, uses an exchange rate of $1=₹82 and expects a 2% rupee depreciation. What is the approximate forecast for Indian crude (MCX) in rupees?
The common exam trap related to a high correlation coefficient is to assume that:
How does a higher positive correlation among commodities in a portfolio affect the Value‑at‑Risk (VaR) of the portfolio?
