
Learn core financial mathematics, including present value, future value, and the time value of money, plus simple, compound, and continuous interest, annuities, and bond valuation.
Explore the time value of money with simple interest, linking principal, present value, and future value through a clear future value formula.
Learn how compound interest grows the future value by earning interest on the present value and prior earnings, with a $100 example at 3% annual.
Explore how compound interest depends on the compounding frequency, converting an annual rate to a monthly rate and counting the correct number of periods to compute future value.
Learn how nominal rates and compounding frequencies affect the effective annual rate. Convert annual rates to monthly or daily compounding, then compute the effective rate and future value.
Compare investment options by evaluating the effective rate across compounding frequencies, favoring higher rates and lower present values. Convert rates to annual terms and apply the effective rate formula.
Explore continuous compounding and its future value formula with e^(I t), and learn to compute the continuously compounded rate and its use in options pricing.
Explore annuities, define and compare ordinary annuity, annuity due, and deferred annuity, and understand cash flows at end or beginning of each period.
Explore annuity due and deferred annuity concepts by calculating present values from beginning-of-period cash flows and ordinary annuities. Apply effective rate, proper discounting, and period alignment across examples.
Learn to compare annuities with different lifespans by present value and by equivalent annuity. Discount cash flows to present value, then compute annual payments to choose the higher equivalent annuity.
Explore perpetuity and constant growth perpetuity, and compute present value with payments divided by rate. Learn the three annuity types: ordinary, due, and deferred, and how growth alters value.
Explain bond valuation by defining bonds, with face value, maturity, and coupon rate, and show price as the present value of coupons as an annuity plus face value.
Learn to price a quarterly-coupon bond with face value 100 using a 10% market yield, convert rates to quarterly, and apply bond valuation relationships.
Celebrate finishing the course and revisit the two examples to strengthen your grasp of interest rate, cash flows, and investment inbounds.
This course is designed for students who are having their finance 101 at University and people who are curious in learning the basics of financial mathematics. You will learn how to convert single or multiple cash flows that will be received at different points in time to one number. This enables you to make a rational decision between different assets and determine the value of an asset. In this course, you will learn not only the formulas but also understand the intuition behind the formula and practice with examples.
There are three main sections in this course. We will focus on interest rates, annuities, and bonds valuation in each part. In the first section, you will learn the difference between simple rate and compound rate. You will have the opportunity to go through a few examples of converting compounding rates into different compounding periods to suit the payment periods. This is an important skill and we will apply it throughout the course.
In the second section of the course, we will introduce a type of finance asset called annuity. You will learn the concept of this asset, different types of annuity and apply what you will have learnt in the first section to calculate the value of an annuity.
The third section is the application part of this course. You will combine what you have learnt and apply them to evaluate bonds. You will also learn some key relationships of bonds valuation and handy tips towards the end of the course.
Finally, a little background of myself and why I created this course. My name is Qian. I am a qualified Financial Risk Manager(FRM) and a CPA. I have a master degree in Economics from University of Wisconsin - Madison and a master degree of professional accounting from University of Sydney. When facilitating university students in their Finance studies, I found that interest rate is a topic that confuses students a lot. However, it is also an essential part of Finance, either for those who would like to take finance as their career or for those who have to select a Finance course as a compulsory unit. I have seen students suffering from the calculations and some even failed the exams. It’s painful and costly to redo the course for another semester. That’s what motivated me to create this short course. I hope my understanding of finance can make your first steps in Finance firmer.