Abstract
We consider a market where the price of the risky asset follows a stochastic volatility model, but can be observed only at discrete random time points. We determine a local risk minimizing hedging strategy, assuming that the information of the agent is restricted to the observations of the price at its random jump times. Stochastic filtering also comes into play when computing the hedging strategy in the given situation of restricted information.
| Original language | English |
|---|---|
| Pages (from-to) | 339-350 |
| Number of pages | 12 |
| Journal | Mathematical Methods of Operations Research |
| Volume | 50 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Oct 1999 |
| Externally published | Yes |
Keywords
- Discontinuous prices
- Hedging under restricted information
- Marked point processes
- Risk minimizing hedging strategies
- Stochastic filtering
- Stochastic volatility
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