4 papers
Payment Process Estimation in Aggregated Insurance Models
Martin Bladt, Marcus Christiansen
Insurance payments may depend on latent micro states although only macro states and realized payments are observed. We study a sojourn-payment model for such aggregated multi-state…
How the interpolation of life tables affects the decomposition of life insurance surplus
Mintodê Nicodème Atchadé, Marcus C. Christiansen, Friedrich Hubalek +1
The surplus of a life insurance policy depends on both systematic changes in mortality risk and financial changes. We propose to decompose the surplus by the axiomatically justifie…
Profit and loss decomposition in continuous time and approximations
Gero Junike, Hauke Stier, Marcus C. Christiansen
Financial institutions and insurance companies that analyze the evolution and sources of profits and losses often look at risk factors only at discrete reporting dates, ignoring th…
Canonical insurance models: stochastic equations and comparison theorems
Marcus C. Christiansen, Christian Furrer
Thiele's differential equation explains the change in prospective reserve and plays a fundamental role in safe-side calculations and other types of actuarial model comparisons. Thi…