Basic Accounting Theories

Interest Rate Mathematics - Part 2


This tutorial describes the techniques of valuation of cash flows under the following situations.
‧ Cash flows occur at some point in the future which need to be evaluated today.
‧ Valuation of streams of future equal cash flows with end date, i.e. annuities
‧ Valuation of streams of future equal cash flows having no end date, i.e. perpetuities
The valuation of such cash flows is relevant to the valuation of various financial instruments and obligations, e.g. perpetual securities. This course further explores the application of these valuations methods in the investment decision making.


On completion of this tutorial, you will be able to:

-Recognize the relationship between the present value, future value, and the discount factor
-Calculate the future value of an investment for a given present value and a given interest rate
-Recognize the importance of annuities in finance and how they are valued
-Calculate the present value of a perpetuity


Module 1: Present Value & Future Value

Topic 1: Present Value
Topic 2: Future Value

Module 2: Annuities & Perpetuities

Topic 1: Annuities
Topic 2: Perpetuities


Relevant Subject
Type 1 - Dealing in securities
Type 2 - Dealing in futures contracts
Type 3 - Leveraged foreign exchange trading
Type 4 - Advising on securities
Type 5 - Advising on futures contracts
Type 6 - Advising on corporate finance
Type 7 - Providing automated trading services
Type 8 - Securities margin financing
Type 9 - Asset management
Type 10 - Providing credit rating services
Type 11 - Dealing in OTC derivative products or advising on OTC derivative products
Type 12 - Providing client clearing services for OTC derivative transactions
SFC:1.50, PWMA:1.50
Staff of Corporate Member: HK$425
Non-Member: HK$630
All Member: HK$425