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Money and mathematics a conversational approach to modern financial mathematics and insurance /

This book follows a conversational approach in five dozen stories that provide an insight into the colorful world of financial mathematics and financial markets in a relaxed, accessible and entertaining form. The authors present various topics such as returns, real interest rates, present values, ar...

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Uniform Title: Mathe, Märkte und Millionen. English
Main Author: Korn, Ralf,
Other Authors: Luderer, Bernd,, SpringerLink (Online service)
Format: eBook
Language: English
German
Published: Wiesbaden : Springer, [2021]
Physical Description: 1 online resource : illustrations.
Series: Springer texts in business and economics.
Subjects:
Investment analysis.
Finance.
Table of Contents:
  • Part I: Income Taxes, Lottery, and Lion Hunting-Elementary Mathematics
  • 1. "We Take over Your VAT!" How Big Is the Actual Discount?
  • 2. Millions Every Week, but Not for Me. Six Numbers in the Lottery
  • 3. Where Did My Money Go? Loss Compensation After a Price Drop
  • 4. How Do You Catch a Lion? Finding a Zero by Halving the Interval
  • 5. Upside Down and Up Again. How Many Zeros Does a Polynomial Have?
  • 6. "According to Adam Ries, that Comes to..." About Fusti, Freight, and Cartage
  • 7. How to Invest? The Cost-Average Effect
  • 8. 32a, the Politician and the Coaster. Calculating the Income Tax of a Person
  • 9. This Makes the Taxpayer Shudder. What Does "Cold Progression" Actually Mean?
  • Part II: Interest Rates, Prices, Yields-Classical Financial Mathematics
  • 10. A Fair Deal? Or: There's Nothing Like Starting Young
  • 11. Should I Pay the Bill Quickly? Cash Discount
  • 12. The Children of the Interest Rate Are the Grand-Children of the Capital. Compound Interest
  • 13. When Will Scrooge McDuck Be Satisfied? The Doubling Problem
  • 14. How Real Is Nominal? The Actual Rate of Return on a Principal
  • 15. "Have I Learned to Calculate Correctly?" Why Dr. X. from Gifhorn Was Wrong
  • 16. "What, I Have to Pay that Long?" Full Repayment of a Loan
  • 17. The Widow of the General and the Painter. A Loan à la Chekhov
  • 18. Why Does Nominal not Equal Effective? The Effective Interest Rate of an Immediate Loan
  • 19. Sandwich with a Car Inside. Financing with Hooks and Eyes
  • 20. The Assiduous Clerk. Capital Certificates and Federal Bonds
  • 21. 7500 Euros Monthly: A Lifetime. Or Better Yet, Two Millions Right Away?
  • 22. Financing a Car with Zero Percent: A Bargain?- 23. Interest Payments Anytime: Isn't That Wonderful? Continuous Compounding of Interest
  • 24. Bearer Bonds and Coupons. Bond Prices and Returns of Bonds
  • 25. Oops! A Law Containing Formulas and Numerical Methods? The Calculation of the Effective Interest Rate According to the German Price Indication Ordinance
  • Part III: Financial Products and Strategies-Modern Financial Mathematics
  • 26. Fair Prices and Market Prices
  • 27. The Short End and the Long End. Yield Curves, Spot Rates, and Forward Rates
  • 28. Simple as Vanilla Ice Cream. On Standard Financial Products
  • 29. Exchanges for Mutual Benefit. Swaps
  • 30. The Telescope That Has Been Pushed Together. How to Calculate a Swap Rate?
  • 31. Pull out Yourself of the Swamp by Your Own Hair. The Bootstrapping Method
  • 32. No Risk, No Fun! Risk Indicators of Fixed-Income Securities
  • 33. Sleep Well Despite Turbulent Markets? The Immunization Property of the Duration
  • 34. Rising Like a Phoenix from the Ashes. New Shine for Your Depot?
  • 35. The Crop of Standing Corn. Are Speculators Really Bad People?
  • 36. Orange Juice and Pork Bellies. Forward Transactions
  • 37. Empty Pockets and No Money. About Short Sales and No-Arbitrage Portfolios
  • 38. Earning Money Without Capital and Risk. Arbitrage Transactions and Fair Prices
  • 39. Fibonacci and His Rabbits. A Few Words About Technical Analysis
  • Part IV: Only Rights, No Obligations-Options
  • 40. A Trip Around the World: Different Types of Options
  • 41. Two Triumvirates: From Arbitrage to Speculation
  • 42. Nothing Is for Free: The Arbitrage Principle
  • 43. How Much Do I Have to Pay for My Right? Option Pricing According to Black and Scholes
  • 44. It Takes Two: Option Pricing in the Binomial Model
  • 45. Safe Behind the Hedge: Hedging of Stock Positions
  • 46. Wrong Calculation-Right Result: Can This Really Be? The Correct Derivation of the Risk Measure Delta
  • 47. The Greeks and the Risk: About Risk Indicators for Stock Options
  • 48. "In, At and Out of the Money" The Language of the Actors at the Financial Markets
  • 49. Volatility Determines the Option Price-Really?
  • 50. Speculating with Options: Rich by Using Leverage?
  • Part V: It Is All in the Mix-Portfolio Theory
  • 51. A Portfolio of Shares
  • 52. Risky Investments: Everything Under Control
  • 53. Negative with a Positive Impact: Risk Reduction Using Correlation
  • 54. Above Your Needs and Maybe Even More? The CPPI Strategy
  • 55. High Risk Pays Off!? Sometimes: On Strategies in Stock Market Games
  • Part VI: The Collective Against Risks-Insurance
  • 56. A Duo Taming Uncertainty: The Law of Large Numbers and the Central Limit Theorem
  • 57. Do You like Classics? A German Life Insurance Concept
  • 58. More Opportunities: Dynamic Hybrid Products
  • 59. A Million Dollar Roulette in the Financial and Insurance Market? The Monte Carlo Method
  • 60. Insurance for Millions-Millions for the Insurer
  • 61. CRK: One Number for Risk and Return. Classification of Pension Products
  • 62. Living with the Mortality Table
  • 63. What Relates Honoré de Balzac and 30 Young Geneva Girls with Life Annuities and Life Tables?
  • 64. Sometimes It Clicks and Sometimes Not. A Riester Pension Product with Index Participation
  • Part VII: Theoretical Foundations-Classical and Stochastic Financial Mathematics
  • Classical Financial Mathematics
  • 66. Stochastic Financial Mathematics.

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