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Gordon Enderle

In preparation for SOA Exam FM / CAS Exam 2, the Financial Math for Actuaries: From Loans to Bonds to Immunization course will give you opportunities to better understand the time value of money through these learning activities:

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In preparation for SOA Exam FM / CAS Exam 2, the Financial Math for Actuaries: From Loans to Bonds to Immunization course will give you opportunities to better understand the time value of money through these learning activities:

  • Performing calculations related to loan payments, loan balances, loan amortization tables and loan refinancing
  • Calculating the price of bonds with various features, developing bond amortization tables and effective yield rates
  • Calculating the net present value of cash flows, and developing internal rates of return
  • Studying the term structure of interest rates, and calculating the duration/convexity of assets whose value is sensitive to interest rates

What you'll learn

Those enrolled in Financial Math for Actuaries: From Loans to Bonds to Immunization will learn how to:

  • Calculate loan payments based on the loan term and interest rate
  • Calculate the outstanding balance of a loan by the prospective or the retrospective method
  • Create an amortization table that breaks down loan payments into principal and interest, and showing the outstanding loan balance
  • Calculate new loan payments for a refinanced loan
  • Calculate the price of a bond including any call features
  • Develop an amortization table for a bond
  • Define and calculate the NPV and IRR of a project
  • To define and calculate the duration and convexity of an asset
  • To define spot / forward rates and determine the present and accumulated values of cash flows using spot / forward rates

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What's inside

Learning objectives

  • Calculate loan payments based on the loan term and interest rate
  • Calculate the outstanding balance of a loan by the prospective or the retrospective method
  • Create an amortization table that breaks down loan payments into principal and interest, and showing the outstanding loan balance
  • Calculate new loan payments for a refinanced loan
  • Calculate the price of a bond including any call features
  • Develop an amortization table for a bond
  • Define and calculate the npv and irr of a project
  • To define and calculate the duration and convexity of an asset
  • To define spot / forward rates and determine the present and accumulated values of cash flows using spot / forward rates

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Covers concepts and techniques fundamental to a career as an actuary, meeting the objectives of Exam FM / CAS Exam 2
Builds a foundation for understanding the time value of money, applicable in various financial domains
Offers practical examples and exercises in loan calculations, bond pricing, and other financial models
Provides insights into the term structure of interest rates and its implications for asset valuation
Taught by Gordon Enderle, an established instructor in financial mathematics

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Save Financial Math for Actuaries: From Loans to Bonds to Immunization to your list so you can find it easily later:
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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Financial Math for Actuaries: From Loans to Bonds to Immunization with these activities:
Review 'The Mathematics of Finance' by Wilmott
Provides a comprehensive overview of the mathematical concepts underlying financial markets.
Show steps
  • Read the book and take notes on key concepts.
  • Work through the practice problems.
  • Apply the concepts to real-world financial problems.
Follow online tutorials on financial modeling
Introduces you to financial modeling tools and techniques.
Show steps
  • Identify online tutorials that cover financial modeling concepts.
  • Follow the tutorials and complete the exercises.
  • Apply the techniques learned in the tutorials to your own projects.
Compile and review course materials
Ensures that you have a comprehensive understanding of the course materials.
Show steps
  • Gather all of the course materials, such as lecture notes, readings, and assignments.
  • Organize the materials in a logical way.
  • Review the materials regularly to reinforce your understanding.
Four other activities
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Show all seven activities
Refactor and optimize loan amortization code
Provides an opportunity to strengthen your coding and financial engineering skills.
Show steps
  • Review the basics of loan amortization calculations.
  • Implement a loan amortization calculator in your preferred programming language.
  • Refactor the code to improve efficiency and readability.
  • Optimize the code for performance.
Solve practice problems from SOA Exam FM / CAS Exam 2
Provides an opportunity to test your understanding of the core concepts and practice solving exam-style problems.
Show steps
  • Gather practice problems from textbooks, online resources, or official exam materials.
  • Attempt to solve the problems on your own.
  • Review your solutions and identify areas where you need improvement.
Develop a bond pricing model
Allows you to apply the theories learned in class to a practical problem.
Browse courses on Bond Pricing
Show steps
  • Research different bond pricing models.
  • Select a model and gather the necessary data.
  • Implement the model in a spreadsheet or programming software.
  • Test the model using historical data.
Participate in a financial modeling competition
Provides an opportunity to test your skills against other students and gain valuable feedback.
Show steps
  • Research different financial modeling competitions.
  • Select a competition and register.
  • Develop a financial model for the competition.
  • Submit your model and present your findings.

Career center

Learners who complete Financial Math for Actuaries: From Loans to Bonds to Immunization will develop knowledge and skills that may be useful to these careers:
Actuary
Actuaries make use of financial mathematics to calculate risks and determine the probability of future financial events. The Financial Math for Actuaries course can provide the specific mathematical foundation that actuaries need for this type of work. This course can help build a foundation in time value of money, loan amortization, bond pricing, and the term structure of interest rates.
Financial Analyst
Financial analysts use financial mathematics to perform several tasks such as forecasting, budgeting, and capital budgeting. The Financial Math for Actuaries course can provide the specific mathematical foundation that financial analysts need for these types of work. This course can help build a foundation in discounted cash flow, risk and return, yield curve analysis, and portfolio management.
Investment Banker
Investment bankers use financial mathematics to value companies, structure financial transactions, and advise clients on mergers and acquisitions. The Financial Math for Actuaries course can provide the specific mathematical foundation that investment bankers need for these types of work. This course can help build a foundation in discounted cash flow, risk and return, yield curve analysis, and portfolio management.
Portfolio Manager
Portfolio managers use financial mathematics to manage investment portfolios and achieve investment objectives. The Financial Math for Actuaries course can provide the specific mathematical foundation that portfolio managers need for this type of work. This course can help build a foundation in discounted cash flow, risk and return, yield curve analysis, and portfolio management.
Risk Manager
Risk managers use financial mathematics to identify, assess, and manage financial risks. The Financial Math for Actuaries course can provide the specific mathematical foundation that risk managers need for this type of work. This course can help build a foundation in discounted cash flow, risk and return, yield curve analysis, and portfolio management.
Quantitative Analyst
Quantitative analysts use financial mathematics to develop and implement quantitative models to support investment decisions. The Financial Math for Actuaries course can provide the specific mathematical foundation that quantitative analysts need for this type of work. This course can help build a foundation in discounted cash flow, risk and return, yield curve analysis, and portfolio management.
Loan Officer
Loan officers use financial mathematics to evaluate loan applications and determine creditworthiness. The Financial Math for Actuaries course can provide the specific mathematical foundation that loan officers need for this type of work. This course can help build a foundation in loan amortization, credit analysis, and risk assessment.
Mortgage Banker
Mortgage bankers use financial mathematics to originate and service mortgage loans. The Financial Math for Actuaries course can provide the specific mathematical foundation that mortgage bankers need for this type of work. This course can help build a foundation in loan amortization, credit analysis, and mortgage underwriting.
Financial Planner
Financial planners use financial mathematics to help clients achieve their financial goals. The Financial Math for Actuaries course can provide the specific mathematical foundation that financial planners need for this type of work. This course can help build a foundation in financial planning, retirement planning, and investment management.
Investment Advisor
Investment advisors use financial mathematics to provide investment advice to clients. The Financial Math for Actuaries course can provide the specific mathematical foundation that investment advisors need for this type of work. This course can help build a foundation in investment analysis, portfolio management, and financial planning.
Credit Analyst
Credit analysts use financial mathematics to assess the creditworthiness of borrowers. The Financial Math for Actuaries course can provide the specific mathematical foundation that credit analysts need for this type of work. This course can help build a foundation in financial analysis, credit analysis, and risk assessment.
Data Analyst
Data analysts use financial mathematics to analyze data and extract insights. The Financial Math for Actuaries course may be useful in providing the mathematical foundation that data analysts need for this type of work. This course can help build a foundation in financial data analysis.
Risk Analyst
Risk analysts use financial mathematics to identify and assess risks. The Financial Math for Actuaries course may be useful in providing the mathematical foundation that risk analysts need for this type of work. This course can help build a foundation in financial risk management.
Business Analyst
Business analysts use financial mathematics to analyze business problems and identify solutions. The Financial Math for Actuaries course may be useful in providing the mathematical foundation that business analysts need for this type of work. This course can help build a foundation in financial modeling and analysis.
Consultant
Consultants use financial mathematics to help clients solve business problems. The Financial Math for Actuaries course may be useful in providing the mathematical foundation that consultants need for this type of work. This course can help build a foundation in financial modeling and analysis.

Reading list

We've selected 15 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Financial Math for Actuaries: From Loans to Bonds to Immunization.
Is commonly used as a textbook at universities. It is quite thorough and technical, and is used as a reference for many in the finance industry. For those who want more in-depth knowledge than the course offers, this could be useful.
This introductory textbook presents the key financial mathematics concepts and techniques used by actuaries. It provides a solid foundation for the Society of Actuaries (SOA) Exam FM and Casualty Actuarial Society (CAS) Exam 2.
Is likely used in many undergraduate programs. It covers the basics of mathematics that is used in finance, and provides a good grounding for those in the course who need more background information.
While this book is less technical than some of the others, it is specifically about finance and how mathematics is used in the industry. It can be used as additional reading for students at any level.
Is used at many universities. It covers more advanced topics than the course, and would be beneficial as a further reference for those who want to continue their studies after the course is complete.
Is geared towards those who want to learn how to use mathematics and statistics to model financial systems. Those who want to pursue this line of study after the course may want to reference this book.
This comprehensive textbook provides a detailed overview of the mathematics of bonds. It covers topics such as bond pricing, yield curves, and credit risk.
Is geared towards those who want to learn mathematical finance, and covers topics such as stochastic calculus. Those who want to learn this area after the course may want to continue with this book.
This advanced textbook provides a comprehensive overview of the mathematics of interest rates and credit risk. It valuable resource for actuaries and other professionals working in the field of financial risk management.
This introductory textbook provides a broad overview of investment science. It covers topics such as portfolio theory, asset pricing, and risk management.
This advanced textbook provides an overview of machine learning techniques used in finance. It covers topics such as predictive modeling, risk management, and portfolio optimization.
This introductory textbook provides a broad overview of statistics techniques used in finance. It covers topics such as descriptive statistics, probability theory, and hypothesis testing.
This introductory textbook provides a broad overview of econometrics techniques used in finance. It covers topics such as time series analysis, regression analysis, and forecasting.
This advanced textbook provides a comprehensive overview of financial risk management techniques. It covers topics such as market risk, credit risk, and operational risk.

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