# Mathematical Interest Theory 2nd edition

Leslie Jane Federer Vaaler and James W. Daniel
Publisher: American Mathematical Society

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• Chapter 0: An introduction to the Texas Instruments BA II Plus
• 0.0: Chapter 0 Writing Problems
• 0.1: Choosing a calculator
• 0.2: Font convention
• 0.3: BA II Plus basics

• Chapter 1: The growth of money
• 1.0: Chapter 1 Writing Problems (7)
• 1.1: Introduction
• 1.2: What is interest?
• 1.3: Accumulation and amount functions (6)
• 1.4: Simple interest / Linear accumulation functions (7)
• 1.5: Compound interest (The usual case!) (7)
• 1.6: Interest in advance / The effective discount rate (5)
• 1.7: Discount functions / The time value of money (7)
• 1.8: Simple discount (5)
• 1.9: Compound discount (7)
• 1.10: Nominal rates of interest and discount (7)
• 1.11: A friendly competition (Constant force of interest) (3)
• 1.12: Force of interest (9)
• 1.13: Note for those who skipped Sections (1.11) and (1.12) (2)
• 1.14: Inflation (4)
• 1: Review Problems (9)

• Chapter 2: Equations of value and yield rates
• 2.0: Chapter 2 Writing Problems (4)
• 2.1: Introduction
• 2.2: Equations of value for investments involving a single deposit made under compound interest (5)
• 2.3: Equations of value for investments with multiple contributions (10)
• 2.4: Investment return (5)
• 2.5: Reinvestment considerations (3)
• 2.6: Approximate dollar-weighted yield rates (4)
• 2.7: Fund performance (3)
• 2: Review Problems (5)

• Chapter 3: Annuities (annuities certain)
• 3.0: Chapter 3 Writing Problems (4)
• 3.1: Introduction
• 3.2: Annuities immediate (7)
• 3.3: Annuities due (6)
• 3.4: Perpetuities (6)
• 3.5: Deferred annuities and values on any date (5)
• 3.6: Outstanding loan balances (6)
• 3.7: Nonlevel annuities (6)
• 3.8: Annuities with payments in geometric progression (5)
• 3.9: Annuities with payments in arithmetic progression (6)
• 3.10: Yield rate examples involving annuities (9)
• 3.11: Annuity symbols for nonintegral terms (3)
• 3.12: Annuities governed by general accumulation functions (3)
• 3.13: The investment year method (2)
• 3: Review Problems (6)

• Chapter 4: Annuities with different payment and conversion periods
• 4.0: Chapter 4 Writing Problems (2)
• 4.1: Introduction
• 4.2: Level annuities with payments less frequent than each interest period (3)
• 4.3: Level annuities with payments more frequent than each interest period (4)
• 4.4: Annuities with payments less frequent than each interest period and payments in arithmetic progression (3)
• 4.5: Annuities with payments more frequent than each interest period and payments in arithmetic progression (7)
• 4.6: Continuously paying annuities (6)
• 4.7: A yield rate example (3)
• 4: Review Problems (5)

• Chapter 5: Loan repayment
• 5.0: Chapter 5 Writing Problems (3)
• 5.1: Introduction
• 5.2: Amortized loans and amortization schedules (6)
• 5.3: The Sinking Fund method (5)
• 5.4: Loans with other repayment patterns (6)
• 5.5: Yield rate examples and replacement of capital (6)
• 5: Review Problems (10)

• Chapter 6: Bonds
• 6.0: Chapter 6 Writing Problems (3)
• 6.1: Introduction
• 6.2: Bond alphabet soup and the basic price formula (7)
• 6.3: The premium-discount formula (3)
• 6.4: Other pricing formulas for bonds (3)
• 6.5: Bond amortization schedules (5)
• 6.6: Valuing a bond after its date of issue (3)
• 6.7: Selling a bond after its date of issue (5)
• 6.8: Yield rate examples (7)
• 6.9: Callable bonds (4)
• 6.10: Floating-rate bonds (2)
• 6.11: The BA II Plus calculator Bond worksheet (3)
• 6: Review Problems (6)

• Chapter 7: Stocks and financial markets
• 7.0: Chapter 7 Writing Problems (4)
• 7.1: Common and preferred stock (2)
• 7.2: Brokerage accounts (3)
• 7.3: Going long: buying stock with borrowed money (2)
• 7.4: Selling short: selling borrowed stocks (6)
• 7: Review Problems (4)

• Chapter 8: Arbitrage, term structure of interest rates, and derivatives
• 8.0: Chapter 8 Writing Problems (7)
• 8.1: Introduction
• 8.2: Arbitrage (3)
• 8.3: The term structure of interest rates (7)
• 8.4: Forward contracts (1)
• 8.5: Commodity futures held until delivery (4)
• 8.6: Offsetting positions and liquidity of futures contracts (4)
• 8.7: Price discovery and more kinds of futures (2)
• 8.8: Options (4)
• 8.9: Using replicating portfolios to price options (4)
• 8.10: Using weighted averages to price options (5)
• 8.11: Swaps (3)
• 8: Review Problems (6)

• Chapter 9: Interest rate sensitivity
• 9.0: Chapter 9 Writing Problems (2)
• 9.1: Overview (1)
• 9.2: Duration (9)
• 9.3: Convexity (5)
• 9.4: Immunization (3)
• 9.5: Other types of duration (5)
• 9: Review Problems (6)

Mathematical Interest Theory, by Leslie Jane Federer Vaaler and James Daniel, gives students an introduction of how investments grow over time. This textbook is written for anyone who has a strong high school algebra background and is interested in being an informed borrower or investor. The content is suitable for a mid-level or upper-level undergraduate course or a beginner graduate course. Through partnership with the Mathematical Association of America, WebAssign is pleased to offer online question content with instant feedback from this title. All questions include reading links to the eBook for an integrated student experience.

## Questions Available within WebAssign

Most questions from this textbook are available in WebAssign. The online questions are identical to the textbook questions except for minor wording changes necessary for Web use. Whenever possible, variables, numbers, or words have been randomized so that each student receives a unique version of the question. This list is updated nightly.

##### Question Availability Color Key
BLACK questions are available now
GRAY questions are under development

Group Quantity Questions
Chapter 1: The growth of money
1.0 7 001 002 003 004 005 006 007
1.R 9 001 002 003 004 005 006 007 008 009
1.3 6 001 002 003 004 005 006
1.4 7 001 002 003 004 005 006 007
1.5 7 001 003 004 005 006 009 010
1.6 5 001 002 003 004 005
1.7 7 001 002 003 004 005 007 008
1.8 5 001 002 003 004 005
1.9 7 001 002 003 004 005 006 007
1.10 7 001 002 003 004 005 006 007
1.11 3 001 002 003
1.12 9 001 002 003 004 005 007 008 009 010
1.13 2 001 002
1.14 4 001 003 005 006
Chapter 2: Equations of value and yield rates
2.0 4 001 002 003 004
2.R 5 001 003 004 005 006
2.2 5 001 002 003 004 005
2.3 10 001 002 003 004 005 006 009 010 011 012
2.4 5 003 004 005 007 008
2.5 3 001 002 003
2.6 4 001 002 003 004
2.7 3 001 002 003
Chapter 3: Annuities (annuities certain)
3.0 4 001 002 003 004
3.R 6 001 002 003 005 006 007
3.2 7 001 002 003 004 005 006 008
3.3 6 002 003 005 006 007 008
3.4 6 001 002 003 004 005 006
3.5 5 001 002 003 004 005
3.6 6 001 002 003 004 005 006
3.7 6 001 002 003 004 006 008
3.8 5 001 002 003 004 005
3.9 6 001 002 003 004 005 006
3.10 9 001 002 003 004 005 006 007 008 009
3.11 3 001 002 003
3.12 3 001 002 003
3.13 2 001 002
Chapter 4: Annuities with different payment and conversion periods
4.0 2 001 002
4.R 5 001 002 003 006 008
4.2 3 004 005 007
4.3 4 001 002 004 007
4.4 3 001 003 004
4.5 7 001 002 003 004 005 006 007
4.6 6 001 002 003 004 005 006
4.7 3 001 002 003
Chapter 5: Loan repayment
5.0 3 001 002 003
5.R 10 001 002 003 004 005 006 007 008 009 010
5.2 6 001 002 003 004 005 007
5.3 5 001 002 003 004 005
5.4 6 001 002 003 004 005 006
5.5 6 001 002 003 004 005 006
Chapter 6: Bonds
6.0 3 001 002 003
6.R 6 001 002 004 005 006 007
6.2 7 001 002 003 004 005 006 007
6.3 3 001 002 003
6.4 3 001 002 003
6.5 5 001 002 003 004 005
6.6 3 001 002 003
6.7 5 001 002 003 004 005
6.8 7 001 002 003 004 005 006 007
6.9 4 001 002 003 004
6.10 2 001 002
6.11 3 001 002 003
Chapter 7: Stocks and financial markets
7.0 4 001 002 003 004
7.R 4 001 002 003 004
7.1 2 001 002
7.2 3 001 002 003
7.3 2 001 002
7.4 6 001 002 003 004 005 006
Chapter 8: Arbitrage, term structure of interest rates, and derivatives
8.0 7 001 002 003 004 005 006 007
8.R 6 001 003 004 006 007 008
8.2 3 001 002 003
8.3 7 001 002 003 004 005 006 007
8.4 1 001
8.5 4 001 002 003 004
8.6 4 001 002 003 004
8.7 2 001 002
8.8 4 001 002 003 004
8.9 4 001 002 003 004
8.10 5 001 002 003 004 005
8.11 3 001 002 003
Chapter 9: Interest rate sensitivity
9.0 2 001 002
9.R 6 001 002 003 004 005 006
9.1 1 001
9.2 9 001 002 003 004 005 006 008 009 010
9.3 5 001 002 003 004 005
9.4 3 001 002 003
9.5 5 001 002 003 004 005
Total 420