数量经济技术经济研究
數量經濟技術經濟研究
수량경제기술경제연구
The Journal of Quantitative & Technical Economics
2010年
10期
101~115
,共null页
跳一扩散 资产价值 违约风险
跳一擴散 資產價值 違約風險
도일확산 자산개치 위약풍험
Jump- diffusion; Asset Value;Default Risk
违约分析的结构方法大多选择纯扩散过程描述股票和资产价值变化,不能反映突发信息引起的异常跳跃。违约度量的理论研究虽有考虑跳跃,却多基于假设参数和蒙特卡洛模拟。由于资产价值变化难以直接观测,所以无法在实证中验证相关理论。本文则在结构模型中引入跳跃,以期权定价为基础,运用市场数据分析带跳的资产价值变化,并与纯扩散模型进行比较,发现后者不能反映跳风险对整体风险的影响,从而在某些情况下高估或低估了实际违约率。
違約分析的結構方法大多選擇純擴散過程描述股票和資產價值變化,不能反映突髮信息引起的異常跳躍。違約度量的理論研究雖有攷慮跳躍,卻多基于假設參數和矇特卡洛模擬。由于資產價值變化難以直接觀測,所以無法在實證中驗證相關理論。本文則在結構模型中引入跳躍,以期權定價為基礎,運用市場數據分析帶跳的資產價值變化,併與純擴散模型進行比較,髮現後者不能反映跳風險對整體風險的影響,從而在某些情況下高估或低估瞭實際違約率。
위약분석적결구방법대다선택순확산과정묘술고표화자산개치변화,불능반영돌발신식인기적이상도약。위약도량적이론연구수유고필도약,각다기우가설삼수화몽특잡락모의。유우자산개치변화난이직접관측,소이무법재실증중험증상관이론。본문칙재결구모형중인입도약,이기권정개위기출,운용시장수거분석대도적자산개치변화,병여순확산모형진행비교,발현후자불능반영도풍험대정체풍험적영향,종이재모사정황하고고혹저고료실제위약솔。
Most of the structural methods choose pure diffusion model to describe the evolution process of stock price and asset value, but it can not reflect the sudden jump risk. On the other side, although many theoretical studies take the jump factor into consideration, most of them use the assumed parameters and Monte- Carlo Simulation to analyze the process. The defect is the related parameters can not be directly observed in practice, which makes it difficult to apply the theoretical results to empirical researches. Based on the option pricing theory and market data, this paper introduces the jump factor into the structural model to describe the evolution of asset value with jump risk. After comparing with the pure diffusion model, we find out that the latter neglects the impact of jump risk and thus underestimates or overestimates the actual default probability in some circum- stances.