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Financial and Actuarial Statistics: An Introduction [Hardback]

(Pennsylvania State University, University Park, USA), (University of Akron, Ohio, USA)
  • Formāts: Hardback, 352 pages, height x width: 279x216 mm, weight: 635 g, Contains 167 hardbacks
  • Izdošanas datums: 01-Apr-2003
  • Izdevniecība: CRC Press Inc
  • ISBN-10: 0824742702
  • ISBN-13: 9780824742706
Citas grāmatas par šo tēmu:
  • Formāts: Hardback, 352 pages, height x width: 279x216 mm, weight: 635 g, Contains 167 hardbacks
  • Izdošanas datums: 01-Apr-2003
  • Izdevniecība: CRC Press Inc
  • ISBN-10: 0824742702
  • ISBN-13: 9780824742706
Citas grāmatas par šo tēmu:
This supplementary text for beginning actuarial science students as well as experienced financial investigators approaches both financial and actuarial modeling from a statistical point of view. It provides an introduction to investment pricing models, discrete and continuous insurance and annuity models, and pension plan models, along with associated statistical techniques such as risk estimation and percentile estimation. Advanced topics include single decrement modeling and resampling techniques. Borowiak teaches statistics at the U. of Akron, Ohio. Annotation (c) Book News, Inc., Portland, OR (booknews.com)

Based on a loss function approach, this comprehensive reference reviews the most recent advances in financial and actuarial modeling, providing a strong statistical background for advanced methods in pension plan structuring, risk estimation, and modeling of investment and options pricing. An authoritative tool supplying every conceptual model and technique required by the modern financial investigator, Financial and Actuarial Statistics offers an analysis of American options models, mortality adjustment factors for increased risk individuals, time trend regression adjustments for mortality tables, and simulation approaches for stochastic models.
Preface v
Statistical Concepts
1(70)
Probability
2(4)
Random Variables
6(9)
Discrete Random Variables
7(3)
Continuous Random Variables
10(3)
Mixed Random Variables
13(2)
Expectations
15(6)
Moment Generating Function
21(3)
Survival Functions
24(2)
Conditional Distributions
26(1)
Joint Distributions
27(6)
Sampling Distributions and Estimation
33(5)
Point Estimation
34(2)
Percentiles and Prediction Intervals
36(1)
Parameter Interval Estimation
37(1)
Aggregate Sums of Independent Random Variables
38(4)
Order Statistics
42(2)
Approximating Aggregate Sums
44(7)
Central Limit Theorem
44(3)
Haldane Type A Approximation
47(1)
Saddlepoint Approximation
48(3)
Compound Random Variables
51(5)
Expectations of Compound Variables
51(2)
Limiting Distributions for Compound Variables
53(3)
Regression Modeling
56(5)
Least Squares Estimation
57(2)
Regression Model Based Inference
59(2)
Autoregressive Systems
61(10)
Problems
66(5)
Financial Computational Models
71(31)
Fixed Financial Rate Models
72(7)
Financial Rate Based Calculations
72(5)
General Period Discrete Rate Models
77(1)
Continuous Rate Models
78(1)
Fixed Rate Annuities
79(5)
Discrete Annuity Models
80(3)
Continuous Annuity Models
83(1)
Stochastic Rate Models
84(18)
Discrete Stochastic Rate Model
85(7)
Continuous Stochastic Rate Models
92(3)
Discrete Stochastic Annuity Models
95(2)
Continuous Stochastic Annuity Models
97(1)
Problems
98(4)
Deterministic Status Models
102(31)
Basic Loss Model
103(4)
Deterministic Loss Models
103(2)
Stochastic Rate Models
105(2)
Stochastic Loss Criterion
107(3)
Risk Criteria
108(1)
Percentile Criteria
109(1)
Single Risk Models
110(9)
Insurance Pricing
111(3)
Investment Pricing
114(2)
Options Pricing
116(3)
Short Time Period Collective Aggregate Models
119(7)
Fixed Number of Variables
119(3)
Stochastic Number of Variables
122(2)
Aggregate Stop - Loss Insurance and Dividends
124(2)
Stochastic Surplus Model
126(7)
Problems
130(3)
Future Lifetime Random Variable
133(39)
Continuous Future Lifetime
134(3)
Discrete Future Lifetime
137(2)
Force of Mortality
139(6)
Fractional Ages
145(3)
Multiple Future Lifetimes
148(8)
Joint Life Status
149(2)
Last Survivor Status
151(3)
General Contingent Status
154(2)
Select Future Lifetimes
156(1)
Multiple Decrement Lifetimes
157(15)
Continuous Multiple Decrements
158(2)
Forces of Mortality
160(2)
Discrete Multiple Decrements
162(2)
Single Decrement Probabilities
164(1)
Uniformly Distributed Single Decrement Rates
165(2)
Single Decrement Probability Bounds
167(2)
Problems
169(3)
Future Lifetime Models and Tables
172(34)
Survivorship Groups
173(4)
Life Models and Tables
177(3)
Estimated Life Models and Tables
180(4)
Life Models and Life Table Parameters
184(7)
Population Parameters
184(4)
Aggregate Parameters
188(2)
Fractional Age Adjustments
190(1)
Multiple Life Tables and Parameters
191(3)
Select and Ultimate Life Tables
194(4)
Multiple Decrement Tables
198(8)
Multiple Decrement Life Tables
200(2)
Single Decrement Life Tables
202(1)
Problems
203(3)
Stochastic Status Models
206(66)
Stochastic Present Value Functions
207(1)
Risk Evaluations
208(4)
Continuous Risk Calculations
209(1)
Discrete Risk Calculations
210(1)
Mixed Risk Calculations
211(1)
Percentile Evaluations
212(3)
Life Insurance
215(6)
Types of Unit Benefit Life Insurance
217(4)
Life Annuities
221(8)
Types of Unit Payment Life Annuities
223(4)
Apportionable Annuities
227(2)
Relating Risk Calculations
229(5)
Relations Among Insurance Expectations
229(2)
Relations Among Insurance and Annuity Expectations
231(1)
Relations Among Annuity Expectations
232(2)
Life Table Applications
234(2)
Insurance Premiums
236(5)
Unit Benefit Premium Notation
239(2)
Reserves
241(8)
Unit Benefit Reserves Notations
244(2)
Relations Among Reserves Calculations
246(1)
Survivorship Group Approach to Reserve Calculations
247(2)
General Time Period Models
249(5)
General Period Expectations
250(1)
Relations Among General Period Expectations
251(3)
Multiple Decrement Computations
254(2)
Pension Plans
256(9)
Multiple Decrement Benefits
257(2)
Pension Contributions
259(2)
Future Salary Based Benefits and Contributions
261(2)
Yearly Based Retirement Benefits
263(2)
Models Including Expenses
265(7)
Problems
268(4)
Scenario and Simulation Testing
272(28)
Fixed Rate Deterministic Status Models
273(3)
Simulation Methods
276(6)
Bootstrap Resampling
277(2)
Simulation Sampling
279(3)
Simulation Inference on Deterministic Status Models
282(5)
Simulation Inference on Collective Aggregate Models
287(2)
Simulation Inference on Stochastic Status Models
289(6)
Investment Pricing Models
291(3)
Stochastic Surplus Models
294(1)
Further Directions in Resampling
295(5)
Problems
297(3)
Further Statistical Considerations
300(15)
Statistical Investigations
301(1)
Mortality Adjustment Factors
302(8)
Linear Acceleration Factors
303(2)
Mean Acceleration Factors
305(3)
Survival Acceleration Factors
308(2)
Mortality Trend Modeling
310(5)
Problems
312(3)
Appendix: Standard Normal Tables 315(4)
References 319(6)
Index 325