### Browsed byCategory: Mathematics

Publication of “Practice Problems in Advanced Topics in General Insurance” – ACTEX Study Guide by G. Stolyarov II

# Practice Problems in Advanced Topics in General Insurance

### 1st Edition:Spring 2016

Students preparing for Society of Actuaries Exam GIADV: Advanced Topics in General Insurance will benefit from Mr. Stolyarov’s latest book, Practice Problems in Advanced Topics in General Insurance. Three options are available for purchase.

Comments from the Author: This book of practice problems is the most comprehensive culmination of my efforts to date, and I am pleased to have the opportunity to work with ACTEX Publications to bring all of these resources to candidates in one convenient compilation so that they will spend less time gathering problems from many separate sources. The Spring 2016 edition of this book is approximately 400 pages long and includes 613 practice problems and full solutions. 531 of the problems/solutions are original creations of mine.

This book is structured to align precisely with the five syllabus topics and eight syllabus papers (including the Lee paper, new on the Spring 2016 Exam GIADV syllabus) – each of which has a section of problems devoted to it. The following is a summary breakdown of what you will find:

 Problems by Source Section (and Syllabus Paper) Original SOA CAS Total 1 (Mack) 21 5 5 31 2 (Venter) 22 4 5 31 3 (Clark LDF) 60 4 6 70 4 (Marshall et al.) 103 4 4 111 5 (Lee) 44 0 12 56 6 (Clark Reinsurance) 139 8 9 156 7 (D’Arcy / Dyer) 99 4 6 109 8 (Mango) 43 4 2 49 TOTAL 531 33 49 613

Each section presents all of the problems in succession, followed by the solutions at the end. You are encouraged to attempt each problem on your own and write down or type your solution, and then look at the answer key for step-by-step explanation and/or calculations. As this book is a learning tool, I have provided relevant citations from the syllabus readings for many of the practice problems. Also, I am not an advocate of leaving any problems as unexplained “exercises to the reader.” While each of these problems is intended to be an exercise for you, this book’s purpose is to show you how they can be solved as well – so give each of them your best attempt, but know that detailed answers are available for you to check your work and fill in any gaps that may have prevented you from solving a problem yourself.

Golden Whorl – Fractal Art by Wendy Stolyarov

## Golden Whorl – Fractal Art by Wendy Stolyarov

Golden Whorl – by Wendy Stolyarov

Note: Left-click on this image to get a full view of this digital work of fractal art.

An intricate, intertwined, interlocking interplay of light and geometry, created using the program Chaotica.

See the index of Wendy Stolyarov’s art works.

Visit Wendy Stolyarov’s website and view her art portfolio.

Wendy D. Stolyarov is an accomplished writer, thinker, artist, and graphic designer, who brings her immense talent and capacity for innovation to The Rational Argumentator and the wider movement for the advancement of Reason, Rights, and Progress. Mrs. Stolyarov uses computer technology masterfully to produce precise, realistic, life-affirming art. She has also contributed multiple essays to TRA and designed many of the magazine’s newer logos, including its banner and the New Renaissance top hat. Mrs. Stolyarov is married to G. Stolyarov II, the Editor-in-Chief of The Rational Argumentator and The Progress of Liberty. She is the illustrator for Death is Wrong, the children’s book on indefinite life extension written by Mr. Stolyarov in 2013.

Rainbow Fish I – Fractal Art by Wendy Stolyarov

## Rainbow Fish I – Fractal Art by Wendy Stolyarov

Rainbow Fish I – by Wendy Stolyarov

Note: Left-click on this image to get a full view of this digital work of fractal art.

Fractal art created using the program Chaotica, reminiscent of fish scales.

See the index of Wendy Stolyarov’s art works.

Visit Wendy Stolyarov’s website and view her art portfolio.

Wendy D. Stolyarov is an accomplished writer, thinker, artist, and graphic designer, who brings her immense talent and capacity for innovation to The Rational Argumentator and the wider movement for the advancement of Reason, Rights, and Progress. Mrs. Stolyarov uses computer technology masterfully to produce precise, realistic, life-affirming art. She has also contributed multiple essays to TRA and designed many of the magazine’s newer logos, including its banner and the New Renaissance top hat. Mrs. Stolyarov is married to G. Stolyarov II, the Editor-in-Chief of The Rational Argumentator and The Progress of Liberty. She is the illustrator for Death is Wrong, the children’s book on indefinite life extension written by Mr. Stolyarov in 2013.

Abstract Orderism Fractal 67 – Art by G. Stolyarov II

## Abstract Orderism Fractal 67 – Art by G. Stolyarov II

Abstract Orderism Fractal 67 – by G. Stolyarov II

Note: Left-click on this image to get a full view of this digital work of fractal art.

This is a frosty fractal of spirals upon spirals.

This digital artwork was created by Mr. Stolyarov in Apophysis, a free program that facilitates deliberate manipulation of randomly generated fractals into intelligible shapes.

This fractal is an extension of Mr. Stolyarov’s artistic style of Abstract Orderism, whose goal is the creation of abstract objects that are appealing by virtue of their geometric intricacy — a demonstration of the order that man can both discover in the universe and bring into existence through his own actions and applications of the laws of nature.

Fractal art is based on the idea of the spontaneous order – which is pivotal in economics, culture, and human civilization itself. Now, using computer technology, spontaneous orders can be harnessed in individual art works as well.

See the index of Mr. Stolyarov’s art works.

Variations on a Randomly Generated Minuet and Trio by Wolfgang Amadeus Mozart, Op. 81 (2015) – Musical Composition and Video by G. Stolyarov II

## Variations on a Randomly Generated Minuet and Trio by Wolfgang Amadeus Mozart, Op. 81 (2015) – Musical Composition and Video by G. Stolyarov II

G. Stolyarov II
June 23, 2015
******************************

Mr. Stolyarov composes four variations for piano and harpsichord, based on a minuet and trio that were randomly generated – most likely for the first time – using the rules in Wolfgang Amadeus Mozart’s Musikalisches Würfelspiel (Musical Dice Game, K. 516f).

Wolfgang Amadeus Mozart was one of the pioneers of algorithmic composition. In 1787 he developed his Musikalisches Würfelspiel (Musical Dice Game, K. 516f), which could generate unique minuets and trios by associating specific measures with rolls of dice (2 6-sided dice for the minuet, 1 6-sided die for the trio). Following Mozart’s table of rules, it is possible to generate (11^16)*(6^16) = 66^16 = 129,629,238,163,050,258,624,287,932,416 unique minuet/trio combinations. This means that any given iteration of the Musikalisches Würfelspiel has most likely never been heard before and, if preserved, adds to the available musical variety derived from Mozart’s compositional technique.

See the rules for the Musikalisches Würfelspiel and hear the individual measures in MIDI format here.

Download “Musikalische Würfelspiele” – a free German-language program by Peter Baumann that can generate full MIDI files for compositions created using the musical dice games of Wolfgang Amadeus Mozart and Johann Philipp Kirnberger.

This composition and video may be freely reproduced using the Creative Commons Attribution Share-Alike International 4.0 License.

Remember to LIKE, FAVORITE, and SHARE this video in order to spread rational high culture to others.

References
– “Musikalisches Würfelspiel” – Wikipedia
– “Mozart’s Musikalisches Würfelspiel” – Page by John Chuang
Portrait of Gennady Stolyarov II – by Wendy Stolyarov
Abstract Orderism Fractal 5 – G. Stolyarov II
Abstract Orderism Fractal 7 – G. Stolyarov II
Abstract Orderism Fractal 48 – G. Stolyarov II
Abstract Orderism Fractal 66 – Floral Fractal – G. Stolyarov II

Variations on a Theme by WolframTones, Op. 80 (2015) – G. Stolyarov II

## Variations on a Theme by WolframTones, Op. 80 (2015) – G. Stolyarov II

G. Stolyarov II
June 10, 2015
******************************

This experimental composition showcases the combined creative potential of man and machine. Mr. Stolyarov takes an algorithmically generated theme by WolframTones –  one of inexhaustibly many possibilities – and gives it a human touch with ten distinct orchestral variations that draw out orderly, harmonious melodies from the motifs present in the WolframTones theme.

This composition is written for a string section, three harps, and two pianos. It is played using the Finale 2011 software and the Steinway Grand Piano, Harp KS, and Full Strings Arco instruments.

Art References:
Fractal Art Swirl by Ralph Langendam (Public Domain)
– Abstract Orderism Fractal 63 by G. Stolyarov II – Available here and here.
– Abstract Orderism Fractal 64 by G. Stolyarov II – Available here and here.
– Abstract Orderism Fractal 65 by G. Stolyarov II – Available here and here.

This composition and video may be freely reproduced using the Creative Commons Attribution Share-Alike International 4.0 License.

Remember to LIKE, FAVORITE, and SHARE this video in order to spread rational high culture to others.

Abstract Orderism Fractal 66 – Floral Fractal – Art by G. Stolyarov II

## Abstract Orderism Fractal 66 – Floral Fractal – Art by G. Stolyarov II

Abstract Orderism Fractal 66 – by G. Stolyarov II

Note: Left-click on this image to get a full view of this digital work of fractal art.

This vibrant floral fractal displays layer upon layer of exquisite patterns.

This digital artwork was created by Mr. Stolyarov in Apophysis, a free program that facilitates deliberate manipulation of randomly generated fractals into intelligible shapes.

This fractal is an extension of Mr. Stolyarov’s artistic style of Abstract Orderism, whose goal is the creation of abstract objects that are appealing by virtue of their geometric intricacy — a demonstration of the order that man can both discover in the universe and bring into existence through his own actions and applications of the laws of nature.

Fractal art is based on the idea of the spontaneous order – which is pivotal in economics, culture, and human civilization itself. Now, using computer technology, spontaneous orders can be harnessed in individual art works as well.

See the index of Mr. Stolyarov’s art works.

Abstract Orderism Fractal 65 – Art by G. Stolyarov II

## Abstract Orderism Fractal 65 – Art by G. Stolyarov II

Abstract Orderism Fractal 65 – by G. Stolyarov II

Note: Left-click on this image to get a full view of this digital work of fractal art.

This fractal consists of intersecting luminous strands.

This digital artwork was created by Mr. Stolyarov in Apophysis, a free program that facilitates deliberate manipulation of randomly generated fractals into intelligible shapes.

This fractal is an extension of Mr. Stolyarov’s artistic style of Abstract Orderism, whose goal is the creation of abstract objects that are appealing by virtue of their geometric intricacy — a demonstration of the order that man can both discover in the universe and bring into existence through his own actions and applications of the laws of nature.

Fractal art is based on the idea of the spontaneous order – which is pivotal in economics, culture, and human civilization itself. Now, using computer technology, spontaneous orders can be harnessed in individual art works as well.

See the index of Mr. Stolyarov’s art works.

Abstract Orderism Fractal 64 – Art by G. Stolyarov II

## Abstract Orderism Fractal 64 – Art by G. Stolyarov II

Abstract Orderism Fractal 64 – by G. Stolyarov II

Note: Left-click on this image to get a full view of this digital work of fractal art.

This ornate rotational fractal conveys intricacy and nobility.

This digital artwork was created by Mr. Stolyarov in Apophysis, a free program that facilitates deliberate manipulation of randomly generated fractals into intelligible shapes.

This fractal is an extension of Mr. Stolyarov’s artistic style of Abstract Orderism, whose goal is the creation of abstract objects that are appealing by virtue of their geometric intricacy — a demonstration of the order that man can both discover in the universe and bring into existence through his own actions and applications of the laws of nature.

Fractal art is based on the idea of the spontaneous order – which is pivotal in economics, culture, and human civilization itself. Now, using computer technology, spontaneous orders can be harnessed in individual art works as well.

See the index of Mr. Stolyarov’s art works.

Abstract Orderism Fractal 63 – Art by G. Stolyarov II

## Abstract Orderism Fractal 63 – Art by G. Stolyarov II

Abstract Orderism Fractal 63 – by G. Stolyarov II

Note: Left-click on this image to get a full view of this digital work of fractal art.

This fractal conveys an impression of sharp, determined, multi-layered rotation.

This digital artwork was created by Mr. Stolyarov in Apophysis, a free program that facilitates deliberate manipulation of randomly generated fractals into intelligible shapes.

This fractal is an extension of Mr. Stolyarov’s artistic style of Abstract Orderism, whose goal is the creation of abstract objects that are appealing by virtue of their geometric intricacy — a demonstration of the order that man can both discover in the universe and bring into existence through his own actions and applications of the laws of nature.

Fractal art is based on the idea of the spontaneous order – which is pivotal in economics, culture, and human civilization itself. Now, using computer technology, spontaneous orders can be harnessed in individual art works as well.

See the index of Mr. Stolyarov’s art works.