ANALYTICAL TABLE OF CONTENTS xix

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§ 4. Market Principle A. (Two Equations).291

| 5. Market Principle B. (Three Equations).291

§ 6. Counting Equations and Unknowns.292

§ 7. Case of to Years and n Individuals. 293

§8. Impatience Principle A. (n. (to—1) Equations) .... 293

§9. Impatience Principle B. (n (to— 1) Equations) .... 294

§ 10. Market Principle A. to Equations.296

§11. Market Principle B. n Equations.296

§ 12. Counting Equations and Unknowns.297

§ 13. Different Rates of Interest for Different Years . . . 299

CHAPTER XIII

SECOND APPROXIMATION IN TERMS OF FORMULAS

§ 1. Introduction.302

§2. Impatience Principle A. (n (to—1) Equations) .... 303

§3. Impatience Principle B. (n (to — 1) Equations) .... 304

§ 4. Principle A. (to Equations).304

§ 5. Market Principle B. (n Equations).304

§ 6. Investment Opportunity Principle A. (n Equations) . . 305

§7. Opportunity Principle B. ( n (to—1) Equations) . . . 306

§ 8. Counting the Equations and Unknowns.307

§ 9. Reconciling the Numbers of Equations and Unknowns . 309

§ 10. Zero or Negative Rates of Interest.311

§11. The Formula Method Helpful.312

CHAPTER XIV

THE THIRD APPROXIMATION UNADAPTED TOMATHEMATICAL FORMULATION

§ 1. Introduction.316

§ 2. The Six Sets of Formulas Incomplete.317

§ 3. Conclusions.321

CHAPTER XV

THE PLACE OF INTEREST IN ECONOMICS

§ 1. Interest Rates and Values of Goods. 325

§ 2. Interest Rates and Values of Services.326

§ 3. Interest Rates and Wages.328

§ 4. Interest and Functional Distribution.331

§ 5. Interest and Personal Distribution.333

§6. The Loan Market as a Highway for Redistribution . . 338