Along This Trail
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Topic Review (7 of 7): Fixed Income – Quantitative and Statistical Techniques
Prior to the 1980s, fixed-income analysis was relatively straightforward, relying primarily on simple calculations of yield to maturity (YTM) and yield to call under passive, buy-and-hold strategies. However, as the debt markets expanded to include highly complex securities—such as non-investment-grade “junk” bonds, mortgage-backed securities (MBS), and debt with embedded options—practitioners recognized that simple yield-to-maturity metrics…
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Topic Review (6 of 7): Fixed Income – Portfolio Management and Performance
The framework of fixed-income portfolio management and performance evaluation has undergone a quantitative revolution since the 1980s. Prior to this era, fixed-income management was primarily a simple, inactive buy-and-hold strategy focused on credit ratings and yield to maturity (YTM). Today, active trading, financial engineering, and complex instruments (such as securitized products and bonds with embedded…
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Topic Review (4 of 7): Fixed Income – Term Structure and Interest Rate Modeling
1. The Term Structure of Interest Rates as the Analytical Foundation The term structure of interest rates represents the mathematical relationship between default-risk-free interest rates (or yields on zero-coupon bonds) and their times to maturity. 2. General Principles of Interest Rate Modeling To value complex securities whose cash flows depend on the path of interest…
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Topic Review (3 of 7): Fixed Income – Risk Measurement
In fixed-income analysis and mathematics, the discipline of risk measurement has undergone a fundamental paradigm shift over the past several decades. Before the 1980s, risk was evaluated primarily through static measures—such as credit ratings to gauge default risk and the lower of the yield-to-maturity (YTM) or yield-to-call (YTC) to evaluate the return on callable bonds.…
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Topic Review (2 of 7): Fixed Income – Markets and Issuers
The fixed-income universe is vast, diverse, and fundamentally shaped by the nature of its issuers and the markets in which they raise capital. Globally, fixed-income markets represent the largest subset of financial markets, far exceeding equity markets in both outstanding value and number of issuances. At the core of fixed-income analysis and mathematics is the…