帶跳擴散模型下經(jīng)理期權(quán)的最優(yōu)實施策略
發(fā)布時間:2018-08-30 12:42
【摘要】:經(jīng)理期權(quán)(簡稱ESOs)是公司作為酬金發(fā)給經(jīng)理或員工的以本公司股票為標的資產(chǎn)的一種看漲期權(quán)。由于經(jīng)理股票期權(quán)具有使用靈活、成本低、不耗費公司現(xiàn)金流等優(yōu)點,ESOs己成為公司激勵員工勤勉敬業(yè)的重要手段。但由于ESOs發(fā)行量較多,其相應(yīng)的發(fā)行成本也很可觀,因此有必要對ESOs進行合理定價。由于ESOs的價值由經(jīng)理人實施策略決定,因而需要理性預(yù)測經(jīng)理人未來的實施策略。在金融市場上經(jīng)理人不能賣空ESOs,所以不能用無套利定價方法對ESOs進行定價。 本文基于效用函數(shù)最大化框架,研究永久ESOs的價值和經(jīng)理人的實施策略。假設(shè)經(jīng)理人的效用函數(shù)為冪效用函數(shù)χγ(0γ≤1),公司股票服從跳擴散過程,其跳幅度服從指數(shù)分布,我們對一份永久美式ESO的價值建立了一個效用最大化最優(yōu)停時模型,其值函數(shù)是一個變分不等式定解問題的解。通過精細的計算和適當?shù)募记?我們得到了該變分不等式的顯式解。此外,我們還證明了最優(yōu)實施邊界關(guān)于相關(guān)參數(shù)的單調(diào)性及漸近性質(zhì)。
[Abstract]:Executive option (ESOs) is a kind of call option that the company gives to the manager or employee as a reward. Because ESOs have the advantages of flexible use, low cost and not consuming cash flow, ESOs have become an important means to encourage employees to work diligently. However, due to the large circulation of ESOs, the corresponding issue cost is considerable, so it is necessary to price ESOs reasonably. Since the value of ESOs is determined by the executive strategy, it is necessary to rationally predict the manager's future implementation strategy. In financial markets, managers can't short ESOs, so they can't price ESOs without arbitrage. Based on the utility function maximization framework, this paper studies the value of permanent ESOs and the implementation strategy of managers. Assuming that the utility function of the manager is the power utility function 蠂 緯 (0 緯 鈮,
本文編號:2213099
[Abstract]:Executive option (ESOs) is a kind of call option that the company gives to the manager or employee as a reward. Because ESOs have the advantages of flexible use, low cost and not consuming cash flow, ESOs have become an important means to encourage employees to work diligently. However, due to the large circulation of ESOs, the corresponding issue cost is considerable, so it is necessary to price ESOs reasonably. Since the value of ESOs is determined by the executive strategy, it is necessary to rationally predict the manager's future implementation strategy. In financial markets, managers can't short ESOs, so they can't price ESOs without arbitrage. Based on the utility function maximization framework, this paper studies the value of permanent ESOs and the implementation strategy of managers. Assuming that the utility function of the manager is the power utility function 蠂 緯 (0 緯 鈮,
本文編號:2213099
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