Corporate and credit bonds can be replicated
Remember that corporate bonds can be replicated by the combination of a riskless bond and a short put on the assets of the company. Since lower rated bonds generally are closer to at-the-money than higher rated bonds, it can be expected that the increase of equity-market volatility leads to a widening of the spread differential between issues of different rating classes. This is due to the fact that the sensitivity of the bonds to changes in volatility is different. Options that trade close to at-the-money levels react more strongly given a change in volatility compared with options, which trade far out-of-the-money. The above-described relationships can be witnessed particularly well during crash scenarios in equity markets. In 1990/91, the rise in equity volatility, which was initiated by numerous profit warnings by companies, was a leading indicator of credit spreads.
The subsequent rise in implied equity-market volatility led to a steepening of the yield differential between high and lower rated credits. Baa and Aa rating classes are chosen to illustrate this relationship because for these rating classes the bond universe offers sufficient breadth and liquidity.
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