The present invention relates to digital system and platforms flexible adaptable by a plurality of users providing automated user-specific adaptable, flexible data processing, inter alia applicable to automated pricing of risk-transfers for an individual policy. In particular, it relates to digital system relying on Markov Chain modelling structures capturing states and/or state transitions and/or cashflows specific to a risk-transfer relying on mortality or life measures.
In traditional life risk-transfer industry, a finite-state Markov chain is often used as technical structure to capture and parametrize, i.e. to represent different state of the insured during data processing. Associating monetary amount vales with sojourn times in states and transitions between states allows to generate and forecast a present value for life risk-transfer losses to be expected within an associated error margin at a set interest rate value. Traditionally these model structures have been used with deterministic interest rate parameter settings and deterministic transition rate parameter settings, however in recent life risk-transfer forecast modelling and simulations, stochastic modelling structures of the interest parameters and transition rate parameters has gained attention in automation and data processing. This is of particular technical interest either if the risk (herein understood as the technical value of the forecasted frequency and aggregated event strength (actually occurring event loss) within a future measuring time window) associated with changes in the underlying interest parametrization and transition rate parameters is to be captured and forecasted, and/or if one wants to hedge this forecasted risk by building up balancing securities based on these same underlying rate parameter settings. A technical life risk-transfer setup with stochastic transition rate settings is, where the underlying rate parameters are processed and captured by a finite-state Markov chain model structure and, in particular, dependence between the rate parameters is enabled within the structure. In the prior art systems, there are various technical data processing treatment of stochastic interest rates applied in life risk-transfer modelling and for forecasting stochastic mortality rate parameter values. Also combined model structures for stochastic interest and mortality rate parameters settings are known. Common to several of the prior art systems is that interest and mortality rate parameters are technically propagated and thus modelled by engineering model structures representing affine model processes for the data processing. This class of processes leads to technically tractable modelling and forecasts, where the core of the data processing is reduced to solve a system of ordinary differential equations instead of partial differential equations in order to find expected present values, which is of great technical advantage for data processing by finite state machines being based on finite state processors. The present invention technically allows for the application of affine processes in more general life risk-transfer modelling structures, thus making it easier and technically more efficient to forecast by data propagation and simulation expected present values.
It is known in the prior art systems, that finite-state Markov chain structures can be applied for data propagation in modelling risk-transfer and appropriate pricing parameters for a specific risk-transfer but can also be applied for forecasting of credit risks. Credit risk is defined herein as the actual and/or expected degree of value fluctuations in debt instruments and derivative structures due to measured changes in the underlying credit quality of associated counterparties or counter units. While vector autoregression (VaR) model structure applied to daily market risk calculations is able to generate about 250 forecast in one year, credit risk model structures technically are limited to about one forecast per year due to their tail structure. Thus, it would take a very long time to produce sufficient observation measurements for reasonable tests and weighting of forecast accuracy for these data processing structures. In addition, due to the nature of credit risk measurements, only a limited amount of historical data on credit losses can be assessed which is not enough to span several macroeconomic or credit cycle processing. These data limitations create a serious technical difficulty for the validation and calibration of credit risk model structures. It is to be mentioned that vector autoregression model structures are statistical based structures used to capture and propagate the relationship between multiple quantities and measures as they change over time. Thus, all VAR structures are types of stochastic process modelling. VAR modelling technically generalize the single-variable (univariate) autoregressive modelling by allowing for capturing multivariate time series. Similar to the autoregressive model structures, each measured or captured variable has a relation (function or equation) modelling and propagating its evolution over time. This relation includes the variable's lagged(past) values, the lagged values of the other variables in the model structure, and an error term. VAR model structures have the advantage that they do not require as much information about the forces influencing a variable as do structural model structures based on simultaneous equations. The only information, technically required, is an appropriate filter for variables which can be hypothesized to affect each other over time.
Thus, a major technical impediment to model validation (so called “back testing”), not only for life-risk-transfer modelling but also for credit risks modelling, is the small number of forecasts available with which to calibrate a model's forecast processing accuracy. There is a need to provide a more flexible modelling and simulation structure which can be used to forecast and propagate the relevant parameter values reliably to a future time range. Also basic credit risk model structures can typically be captured by a two-state Markov chain, where a jump from the initial state represents a default. An extension of this model, known in the prior art, is to let the default transition rate be modelled as a stochastic process itself such that it is possible for it to be dependent on the interest rate and other economic factors. This approach can be applied to various Markov chain model structures. In a more general treatment of the Marchkov chain approach to credit risk modelling with stochastic transition rates it can be shown how prices generally satisfy a system of partial differential equations. In both approaches, it can be shown how one can benefit from affine stochastic processes as transition intensities and economic measuring factors. If the modelling structure is particularly simple, the Riccati relation can be used to reduce the modelling problem of solving a system of partial differential equations to that of solving a system of ordinary differential equations, which can have significant technical advantages in terms of data processing efficiency and used time. The technical approach of the present invention has, inter alia, the advantage, that it allows to generalize these prior art methods allowing for risk-transfer pricing in more general decrement Markov chain model structures. Therefore, while Markov Chain modelling structures are used widely in risk-transfer technology and industries, its combination with configuration elements according to the present invention allows a level of flexibility and dynamism. The present inventive system can, inter alia, be applied for doubly stochastic Markov chain structures, in particular in life risk-transfer and credit risk forecast and simulations. It can further be applied for the generation of transition probabilities in certain doubly stochastic Markov chains, wherein the resulting output-signaling can e.g. be used for valuation of life insurance contracts.
The prior art document US 2012/0296676 A1 discloses a system for processing disparate data for generating an insurability decision. An extract, transform, load (ETL) process extracts the data and converts it into a standard format. A heuristic engine processes the converted data to identify information relevant to the decision to be rendered. A consolidation engine generates knowledge from the relevant information and presents the knowledge to a decision-making entity for rendering the decision. An optimization feedback process monitors actions on the knowledge by the decision-making entity and adjusts the ETL process, the heuristic engine, and the consolidation engine as a function of the monitored actions. Further, the prior art document U.S. Pat. No. 10,572,945 B1 discloses a system for automated estimation of insurance loss ratios, claims frequencies, probabilities of excess claims, and insurance policy performance characteristics for an individual insured or for groups of insured individuals. A time-series-derived Bayesian power spectrum weight is generated based on the frequency of temporal pattern-specific values in terms of intensities at various frequencies of the power spectrum computed from credit utilization ratio (CUR) time-series obtained by the insurer by ‘soft pull’ inquiries submitted periodically to credit-rating agencies, and provides capturing and measuring of the relative magnitude of frequent or unexpected changes in consumer liquidity. The present technology provides a sys-tem and method for classifying insurance risk, for insurance risk scoring, or for incorporating a power-spectrum-based temporal pattern-specific weight into an actuarial method to enhance the loss ratio estimation accuracy and statistical financial performance of insurance products and health plans. KR1 02222928 B1 discloses a system for financial estimations. The system determines a financial estimate target fund based on the user identification information and receives base data corresponding to the financial estimation target fund. The system extracts at least one principal component from relevant variables included in the base data using a macroscopic financial estimation model, predicts the relevant variables in consideration of population characteristics using a micro-financial estimation model, and derives a financial estimate using the extracted principal component and the predicted relevant variables. Finally, CN 108053326 A discloses system for cost performance orderings of life insurance products. The system determines the transfer probability among different insurance responsibility states of each insurance product according to an incidence rate table of the insurance industry, and a Markov state transfer matrix is established. The system determines, based on clauses of the insurance state, a cash flow matrix along the Markov state transfer matrix during state transfer. The net insurance premium of the insurance product is obtained by utilizing an actuarial pricing principle on the basis of the Markov state transfer matrix and the cash flow matrix and according to an earning rate curve of the product. Cost performances of insurance products are ordered according to the ratio of the net insurance premium to the practical sales price of each insurance products.
It is an object of the invention to provide more efficient and more accurate and more flexible systems and methods allowing newly dynamic and automated propagation of life risk parameters and associated automated dynamic risk-transfer pricing and dynamic premiums generation and assessment for a policy capturing the individual risk-transfer settings and parameter values. It is further an object of the present invention to allow for using a combination of Markov Chain modelling structures and configurable elements (States, State transitions, Cashflows) specific to a risk-transfer, it instantiates, which was not possible by the prior art systems.
According to the present invention, these objects are achieved particularly through the features of the independent claims. In addition, further advantageous embodiments follow from the dependent claims and the description.
According to the present invention, the abovementioned objects are particularly achieved by the digital system, automated platform and automated method in that for life risk parameter propagation and for dynamic and automated risk-transfer pricing by processing a plurality of individual risk-related parameters associated with a portfolio of risk-transfers of risk-exposed individuals, wherein each risk-transfer held associated with the portfolio is set by risk-transfer parameters of a risk-transfer policy defining the individual risk-transfer, wherein a combination of a Markov Chain modelling structure with configurable elements are applied at least comprising states and/or state transitions and/or cash-flows specific to the risk-transfer, and wherein a stochastic Markov data processing is applied to the Markov chain structure over a sequence of possible events in which the probability value of each event depends only on the state attained in the previous event, in that the digital system comprises a calculation engine comprising a data structure for capturing and/or storing deterministic transition and interest rate parameter values of a state discrete process to conduct data processing per policy, wherein parts of the process are used with stochastic transition and interest rates of a discrete process for conducting simulations on portfolio level, in that the digital system comprises an interface to the Markov chain structure, wherein for the stochastic Markov data processing, interest parameter values and transition rate parameter values are user-specific and flexible configurable and/or selectable from an associated digital library, and wherein within the stochastic Markov data processing setup and stochastic transition rates, these underlying rates are processed and modelled by the finite-state Markov chain structure, and in that for the data processing by the finite-state Markov chain structure, one or more transition functions are configurable via the data interface and/or selectable from the digital library, the transition functions linking at least two states within the Markov chain structure wherein all states of the Markov chain structure are linked to a antecedent and a successive state providing the data processing over the whole configurable Markov chain structure.
The technical approach of the present invention has, inter alia, the advantage, that it allows to generalize the above discussed prior art methods allowing for risk-transfer pricing in more general decrement Markov chain model structures. Therefore, while Markov Chain modelling structures are used widely in risk-transfer technology and industries, its combination with configuration elements according to the present invention allows a level of flexibility and dynamism. The present inventive system can, inter alia, be applied for doubly stochastic Markov chains, in particular in life risk-transfer and credit risk modelling. It can further be applied for the generation of transition probabilities in certain doubly stochastic Markov chains, wherein the resulting output-signaling can e.g. be used for valuation of life insurance contracts.
The present invention will be explained in more detail below relying on examples and with reference to these drawings in which:
The digital system comprises a calculation engine using deterministic transition and interest rates of a discrete process to conduct calculations per policy, wherein parts of the process are used with stochastic transition and interest rates of a discrete process for conducting simulations on portfolio level. In particular, the calculation engine comprises a data structure for capturing and/or storing deterministic transition and interest rate parameter values of a state discrete process to conduct data processing per policy, wherein parts of the process are used with stochastic transition and interest rates of a discrete process for conducting simulations on portfolio level,
The digital system comprises a user interface to the Markov chain structure, wherein for the stochastic Markov data processing, interest parameter values and transition rate parameter values are user-specific and flexible configurable and/or selectable from an associated digital library, and wherein within the stochastic Markov data processing setup and stochastic transition rates, these underlying rates are processed and modelled by the finite-state Markov chain structure. The digital library can e.g. be accessible by a plurality of users, wherein the transition functions and/or the interest parameter values and/or the transition rate parameter values of a user are accessible by another user via the data interface and applicable to the other user's finite-state Markov chain structure. The transition functions and/or the interest parameter values and/or the transition rate parameter values of a first user can e.g. only be accessible upon request of a second user and/or upon approval or enablement by the first user to the second user.
For the data processing by the finite-state Markov chain structure, one or more transition functions are configurable via the data interface and/or selectable from the digital library, the transition functions linking at least two states within the Markov chain structure wherein all states of the Markov chain structure are linked to an antecedent and a successive state providing the data processing over the whole configurable Markov chain structure.
As an embodiment variant, dependences between the rate parameters can e.g. be applicable within the finite-state Markov chain structure. The finite-state Markov chain structure can e.g. further comprise elements providing flexible configuration for the use of combined model structures for stochastic interest parameter values and/or mortality rate parameter values. The stochastic Markov data processing of the interest parameters and mortality rate parameters can be configured by affine data process structures, wherein the finite-state Markov chain structure becoming a traceable model structure during propagation of the parameter values to a defined future time window. For the flexible configuration, the digital system can e.g. comprise adaptable calculation configuration files and/or trees processable by the calculation engine of the digital system. The Markov chain structure can e.g. be realized as a continuous time Markov chain structure with a finite or countable infinite state space providing a stochastic process for parameter propagation. Further, the Markov chain structure can e.g. be provided by the digital system only for time-homogeneous Markov chain processes, where all probability values providing a measure for a life risk within a future time window are generated based on the Markov property.
The system can e.g. comprise a slice generator, wherein data processing is sliced by taking place on a slice level and aggregated on a state of benefit and quote level, wherein a slice is created whenever a policy benefit is subject to an unscheduled sum assured increase, and wherein for each newly applied risk-transfer each benefit starts with one slice, each slice being related to the specific risk-transfer version, cover and tariff at that a respective point in time, the slice is generated for. As such, the calculations can e.g. take place on a slice level and are aggregated on benefit and quote level, wherein a slice is created whenever a policy benefit is subject to an unscheduled sum assured increase, and wherein for new business each benefit starts with one slice, each slice being related to the specific product version, cover, and tariff relevant at that the respective point in time the slice is created for.
The present invention allows insurance premiums to be generated and assessed dynamically for an individual policy, using a combination of the established Markov Chain model and configurable elements (States, State transitions, Cashflows) specific to the product it instantiates. The system comprises a calculation engine using deterministic transition and interest rates of a discrete process to conduct calculations per policy. The system can e.g. also use parts of this with stochastic transition and interest rates of a discrete process can thus support conducting simulations on portfolio level.
The inventive data processing and/or calculations take place on slice level and are aggregated on benefit and quote level (as shown in
The present invention also technically allows to model cashflows and link them to states or state transitions according to the respective tariff—this allows to generate and/or calculate the cashflows' present value at each discrete point in time. This dynamic is visualized in
A mathematical representation of the present value formula for a (sub-)set of modelled cashflows on slice level is as follows:
CtS . . . Cash flow amount for state S at calculation period t
It is to be noted that the implementation of the calculation engine can e.g. use deterministic transition and interest rates of a discrete process to conduct calculations on policy level. However, the present invention can also be realized using parts of this with stochastic support conducting the simulation processing on portfolio level.
Number | Date | Country | Kind |
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000854/2022 | Jul 2022 | CH | national |
The present application is a continuation application of International Patent Application No. PCT/EP2023/069767, filed Jul. 17, 2023, which is based upon and claims the benefits of priority to Swiss Application No. 000854/2022, filed Jul. 19, 2022. The entire contents of all of the above applications are incorporated herein by reference.
Number | Date | Country | |
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Parent | PCT/EP2023/069767 | Jul 2023 | WO |
Child | 18438558 | US |