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International Fixed Income. Topic IIIB: Currency Risk and Bond Returns. Outline. How Well Do U.S. Interest Rate Factors Explain Foreign Term Structures? Stylized Facts About Government Bond Returns. The Volatility of Government Bond Returns - A Data Analysis.
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International Fixed Income Topic IIIB: Currency Risk and Bond Returns
Outline • How Well Do U.S. Interest Rate Factors Explain Foreign Term Structures? • Stylized Facts About Government Bond Returns. • The Volatility of Government Bond Returns - A Data Analysis
I. Explaining Foreign Term Structure Movements Using US Rates • How much does the US term structure explain movements in the term structure across countries? • Case study: • G7 countries (US,UK,JPN,CAN,GER,ITA,FR) • 1996-1999 • Weekly movements in zeroes of 1yr-30yr maturities
Correlations Between Principal Components US UK JPN CAN FRA GER ITA US UK JPN CAN FRA GER ITA
Average R-Squared of Foreign Term Structure on US Interest Rate Factors
Average R-Squared of Foreign Term Structure on US Interest Rate Factors & Exchange Rate
II. Stylized Facts About Government Bond Returns • Look at $-adjusted foreign government bond returns (i.e., portfolio of bonds across maturities) • JP Morgan Indices for G7 countries • Means, Volatilities and Correlations
Recall Rates of Return on Bonds Consider a a foreign government bond. What is it’s US $ rate of return? Taking logs of the above and rearranging gives us This is approximately equal to: [yield] - [dur x (Dr)] - %DS(Fn/$)
Correlations Between Returns US UK JPN CAN FRA GER ITA US UK JPN CAN FRA GER ITA
III. What Explains Government Bond Returns? • Relation between $-adjusted government bond returns and US interest rate factors • Relation between $-adjusted government bond returns and theoretical factors: • Foreign principal component • Foreign principal components (all 3) • Foreign principal components & exchange rate
% of $-adjusted Returns Explained by Own 1st Principal Component Estimated coefficient =-5 to -6
% of $-adjusted Returns Explained by Own 3 Principal Components
% of $-adjusted Returns Explained by Own 1st Principal Component & Exchange Rate Estimated coefficient =-5 to -6 on 1st comp & -1 on XR
% of $-adjusted Returns Explained by Own 3 Principal Components & Exchange Rate Estimated coefficient =-5 to -6
Recall: % of Volatility of $-adjusted Foreign Bond Due to Currency Risk