Summary
This technical report discusses the impact of convexity on callable bonds, particularly focusing on the relationship between bond prices and yields. It outlines how callable bonds exhibit negative convexity, which can increase price sensitivity to rising yields, thereby compounding price risks for fixed income investors. The report explains that traditional non-callable bonds, such as US Treasuries, demonstrate positive convexity, where price sensitivity increases as yields fall. The document highlights the implications of rising interest rates on longer-duration bonds and the resulting negative mark-to-market returns. It also emphasizes the importance of understanding negative convexity in managing interest rate and credit spread duration for callable bond holdings. The analysis is supported by empirical data illustrating the price return as a function of yield changes, providing insights into the complexities of bond investments in a changing interest rate environment.
