Stochastic Calculus for Finance II: Continuous-Time Models Steven E. Shreve
Publisher: Springer

"Stochastic Calculus for Finance II: Continuous-Time Models (Springer Finance)" Overview. This Part focuses on the cross-discipline foundations of financial mathematics, whose knowledge is generally assumed by practitioners and financial modeling literature. Stochastic.Calculus.for.Finance.II.Continuous.Time.Models.pdf. "A wonderful display of the use of mathematical probability to derive a large set of results from a small set of assumptions. The subsequent, Part 3, focuses Financial Calculus , by Baxter and Rennie: pleasant intuitive introduction; Stochastic Calculus for Finance I , by Shreve: gentle introduction via binomial; Stochastic Calculus for Finance II , by Shreve: gentle continuous-time introduction. Thus the compound Poisson process represents the cumulative amount of claims in the time interval . Books are recommended on the basis of readability and other pedagogical value. Stochastic Calculus for Finance II: Continuous-Time Models. Hans Follmer, Alexander Schied (De Gruyter Studies in Mathematics ) Stochastic Calculus for Finance: Continuous-Time Models (Finance) [v. Stochastic Differential Equations, An Introduction with Applications, 5th edition. Recently, the problem of optimal investment for an insurer has attracted a lot of attention, due to the fact that the insurer is allowed to invest in financial markets in practice. In Hipp and Plum [2], the classical Cramér-Lundberg model is adopted for the risk reserve and the insurer can invest in a risky asset to minimize the ruin probability.