<p>This paper studies an equilibrium indifference pricing problem within the framework of an n-agent game and the corresponding mean field game. Our focus lies in examining portfolio optimization problems under relative performance criteria for investors possessing CDS and the underlying defaultable bonds. Based on the constant Nash equilibrium result of the portfolio games, we derive the explicit formulas of indifference prices of defaultable bonds and CDS and we investigate the impact of risk aversion and competitive attitude on the indifference prices. Finally, in a bond market without CDS, we provide insights into the establishment of market equilibrium prices for defaultable bonds through the application of the indifference pricing approach alongside the market-clearing condition.</p>

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Equilibrium Indifference Pricing of Defaultable Claims Under Relative Performance Concerns

  • Ayu Xie,
  • Xiaosong Qian

摘要

This paper studies an equilibrium indifference pricing problem within the framework of an n-agent game and the corresponding mean field game. Our focus lies in examining portfolio optimization problems under relative performance criteria for investors possessing CDS and the underlying defaultable bonds. Based on the constant Nash equilibrium result of the portfolio games, we derive the explicit formulas of indifference prices of defaultable bonds and CDS and we investigate the impact of risk aversion and competitive attitude on the indifference prices. Finally, in a bond market without CDS, we provide insights into the establishment of market equilibrium prices for defaultable bonds through the application of the indifference pricing approach alongside the market-clearing condition.