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The price action of leveraged ETFs differs fundamentally from that of standard ETFs, and the generic explanation 'compounding' means nothing. Leveraged ETFs is the only publication in which LETF dynamics are developed completely—from the definition of return through the mathematical constraints defining leverage in a geometric Brownian motion framework to application of Ito’s lemma and the final solution.

Employing a comprehensive approach, solutions are derived under both the arithmetic and logarithmic models of return, motivating intuitive understanding of LETFs. As the first publication to mathematically define the value decay of LETFs, this text expands upon the academic research literature, which previously could only describe decay by example and evaluate it by process of elimination.

Leveraged ETFs explains why these funds trade the way they do, helping investors and finance professionals avoid trading mistakes. Clear examples related to markets and formulas easily implemented in spreadsheet software will help independent investors and finance professionals assess risk/reward objectively (and not just for leveraged holdings).

Included is an accessible review of the necessary math. Take for example the oft-repeated adage about volatility being a drag on the returns of all assets: readers will not only know it is false but will be wise to the flaw in the thinking (and math) of those who believe it. Readers will also know why short/inverse funds exhibit more value decay than long LETFs (and by how much). Only those understanding the fundamentals are not surprised at how their portfolios respond.

• Sales Rank: #2178424 in Books
• Published on: 2013-02-27
• Original language: English
• Dimensions: 9.25" h x .33" w x 7.50" l,
• Binding: Paperback
• 132 pages

About the Author
Alpay Kaya’s experience in the research & development of systematic trading strategies spans asset classes and financial instruments. Formerly the head of FX research at Koch Capital, his strategies (long/short equity, FX options, and rate futures) have performed consistently well in live trading at notionals in excess of $100MM. With an educational background in Control Systems, his research on robust optimal control with applications to aviation has been published in professional journals and conference proceedings. The author holds engineering degrees from the University of California at Berkeley and the University of Akron.

Most helpful customer reviews

2 of 3 people found the following review helpful.
If you want to understand leveraged ETFs...
By TigerEye
...then buy this serious book. It's not like other practitioner books promising to tell you "Wall St's secrets"--the ones with the dollar/euro/yen symbols all over the cover.

The math review is really helpful and not just for ETFs. It even explains some concepts in more than one way. I've always felt most of the information out there on leveraged ETFs always seemed either too simple or nonsense, now I know I was right.

0 of 1 people found the following review helpful.
One of the best finance books I have read
By Alexander D. Castro
I love reading this book! As a newbie to Leverage ETFs, I have found this book very useful. The exposition is very clear and unlike other finance books, I actually found this one a pleasure to read.

Having an Engineering background helps because I got the feeling it is written from one Engineer to another.

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Joyce Meyer stresses the importance of spending even just a few minutes every morning with God. Beginning each day this way is an opportunity to get off on the right foot and to set the tone for the day.

• Sales Rank: #98116 in Books
• Brand: FaithWords/Hachette Book Group
• Model: 3599010
• Published on: 2007-10-24
• Original language: English
• Number of items: 1
• Dimensions: 7.25" h x 1.25" w x 5.38" l, .95 pounds
• Binding: Hardcover
• 384 pages

About the Author
Joyce Meyer has been teaching the Word of God since 1976 and in full-time ministry since 1980. She is the bestselling author of more than seventy inspirational books, including Approval Addiction, In Pursuit of Peace, How to Hear from God, and Battlefield of the Mind. She has also released thousands of audio teachings as well as a complete video library. Joyce's Enjoying Everyday Life radio and television programs are broadcast around the world, and she travels extensively conducting conferences. Joyce and her husband, Dave, are the parents of four grown children and make their home in St. Louis, Missouri. www.joycemeyer.org.

From AudioFile
Sandra McCollom interprets the authors work and down-to-earth style with crisp, clear diction. Meyers devotional compilation is taken from 19 of her most popular books. McColloms power and energy complement Meyers teachings on the Bible, which stress the importance of starting the day with God, even if its only 10 minutes. Focusing on Gods Word reminds the listener that Gods mercies are new each day and provides a foundation of encouragement and renewed strength that will help create a positive outlook. McCollom maintains vocal consistency throughout and provides context with her versatile vocal range. This audio devotional is a good choice to listen to during a short commute or while preparing for work. G.D.W. © AudioFile 2008, Portland, Maine-- Copyright © AudioFile, Portland, Maine

Most helpful customer reviews

19 of 19 people found the following review helpful.
Inspiration and comfort
By Ms. Kitty
Joyce Meyer has a down to earth style. This book is that, and more. It is a collection of inspirational and thoughtful devotions, to start your day off right. We could all use a friendly/intelligent word in the morning, couldn't we? I find, as with all her other books, and resources, that Joyce doesn't disappoint with this one.

0 of 0 people found the following review helpful.
Five Stars
By Deanna Lee
I love reading the devotions every morning.

0 of 0 people found the following review helpful.
Five Stars
By Amanda Rochelle McCraw
I love Joyce Meyer and I enjoy reading these day to day devotions

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"Um livro fascinante e de fácil leitura! Já tinha lido em inglês e não resisti a ler outra vez. Tradução excelente!"
~ Alice Mascarenhas, Amazon.com

Ela apaixonara-se por uma cama de antiquário. Mas o fantasma do Highlander que veio junto tinha bastante mais valor do que ela negociou.

A empresária americana, Mara McDougall não acredita em espíritos, mas uma viagem à Escócia e um garboso fantasma estão prestes a provar o seu terrível engano.
Uma guia turística independente está cansada de conduzir os seus encargos por toda a cidade de Londres. Então, resolve respirar numa loja de antiguidades e põe a vista naquela que poderá ser a mais bela cama de todos os tempos. De seguida, esbarra contra o homem mais bonito de todos os tempos. Um sensual sotaque escocês, um olhar quente e uma saliência nos ombros musculados. Apesar do mau começo, Mara não consegue esconder a irresistível atração pelo escocês. Depois, descobre que herdou um castelo escocês, e aquilo que obrigatoriamente se estipulou para reclamar a sua inesperada herança, ajudá-la-ão a esquecer o belo escocês, pelo menos, assim o espera.


Na qualidade de fantasma, O Sir Alexander Douglas maldisse o nome MacDougall por anos e anos. Enquanto cavaleiro medieval, prometido a uma jovem desconhecida, foi vítima do seu amado, um MacDougall, que o envolveu num feitiço, segundo o qual assombraria para sempre a cama da sua futura noiva.
Agora, nada impedirá Alexander de afastar o dossel das mãos de uma MacDougall – ou McDougall. Mas quando Mara compra a cama para o seu castelo, ele reconhece que ela não tem nada do seu inimigo. Afinal de contas, nenhum outro MacDougall o fizera arder em paixão e desejar a única coisa de que nunca supôs sentir falta: o amor.

Aidan é o herói romântico do mês da Times K.I.S.S!

Elogios a Um Highlander na sua cama

“Encantador! Desconcertante, divertido e criativo, com diálogos frescos e personagens credíveis e excitantes. Memorável. PICANTE.”
~ Romantic Times Magazine

"Quem diria que alguém tivesse a capacidade de descrever a Escócia e os seus mistérios tão bem como Allie Mackay. Não li o original, mas adorei a versão portuguesa. Recomendo!"
~ Penelope M, Amazon.com

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~ Fresh Fiction

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~ Romance Reviews Today

“Uma leitura excêntrica que o deixará a arfar do princípio ao fim! Química explosiva, desde o momento em que Mara e Sir Alex se encontram. Uma aposta segura num bestseller.”
~ A Romance Review

“Que história hilariante e de fazer pular o coração! Duas pessoas que se encontram, cruzando o tempo e descobrem que o amor verdadeiro e um pouco de magia, tudo conquistam.”
~ Leah Weller ‘Medieval Lady,’ Reviewer for Bookworm2bookworm

"Mackay é uma mestre na escrita de mágicas estórias de amor, ao longo das eras."
~ Fresh Fiction

~*~

Allie Mackay é o pseudónimo da recordista de vendas do USA Today, Sue-Ellen Welfonder, que ganhou o prémio de Melhor Romance Histórico da secção romance do Times, no seu livro de estreia, Devil in a Kilt – Diabo de kilt. Muitos dos seus livros foram nomeados para os prémios da RT, e a maior parte receberam elogios e prémios para heróis da revista K.I.S.S. Ela fica radiante por pertencer ao top 20 de vendas e, por ser uma autora All-star da Amazon. O melhor elogio dos leitores que ela pode ter é dizerem-lhe que são trasnportados para a Escócia medieval, que é o cenário da maioria dos seus livros. Ela tem três grandes paixões: A Escócia, o paranormal e os animais. Todos podem ser encontrados nos seus romances paranormais divertidos, sexy e luminosos.

• Sales Rank: #1846189 in eBooks
• Published on: 2015-04-28
• Released on: 2015-04-28
• Format: Kindle eBook

Review
 

About the Author
Allie Mackay é o pseudónimo da escritora bestseller do USA Today, Sue-Ellen Welfonder, que escreve romances sobre Escócia medieval, com o seu nome verdadeiro. Uma antiga comissária de bordo, tem três grandes paixões: a Escócia, o universo paranormal e os animais. Todas podem ser encontradas nos seus romances medievais e paranormais que ela escreve, com o nome Allie Mackay.

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0 of 0 people found the following review helpful.
Quem diria que alguém tivesse a capacidade de descrever a ...
By Penelope M
Quem diria que alguém tivesse a capacidade de descrever a Escócia e os seus mistérios tão bem como Allie Mackay. Não li o original, mas adorei a versão portuguesa. Recomendo!

0 of 0 people found the following review helpful.
Um livro fascinante e de fácil leitura! Já tinha ...
By Alice Mascarenhas
Um livro fascinante e de fácil leitura! Já tinha lido em inglês e não resisti a ler outra vez. Tradução excelente!

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By Amazon Customer
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• Sales Rank: #6247624 in Books
• Published on: 2001
• Number of items: 1
• Binding: Paperback
• 155 pages

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McGraw-Hill Mathematics: Answer Key, Grade 4, by McGraw-Hill PDF
McGraw-Hill Mathematics: Answer Key, Grade 4, by McGraw-Hill EPub
McGraw-Hill Mathematics: Answer Key, Grade 4, by McGraw-Hill Doc
McGraw-Hill Mathematics: Answer Key, Grade 4, by McGraw-Hill iBooks
McGraw-Hill Mathematics: Answer Key, Grade 4, by McGraw-Hill rtf
McGraw-Hill Mathematics: Answer Key, Grade 4, by McGraw-Hill Mobipocket
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[J242.Ebook] Download PDF McGraw-Hill Mathematics: Answer Key, Grade 4, by McGraw-Hill Doc

[J242.Ebook] Download PDF McGraw-Hill Mathematics: Answer Key, Grade 4, by McGraw-Hill Doc

[J242.Ebook] Download PDF McGraw-Hill Mathematics: Answer Key, Grade 4, by McGraw-Hill Doc

[J242.Ebook] Download PDF McGraw-Hill Mathematics: Answer Key, Grade 4, by McGraw-Hill Doc