Section outline
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The aim of this unit is to introduce the fundamental concepts of financial mathematics, and how those concepts are applied in calculating present and accumulated values for various streams of cash flows.
It is designed to cover:
1. The key concept of the interest rates;
2. Understand the mathematics underlying the theory of interest rate, especially simple and compound interest rates.
Learning Outcomes:At the end of this unit, participants will be able to:
1. Understand the basics of financial mathematics pertaining to interest rates.;
2. Given any two of interest rate, present value, or future value, calculate the third based on simple or compound interest.;
3. Write the equation of value given a set of cash flows and an interest rate.
You will be engaged in different activities such as forum discussion, practical activities, and assignments as designed in different corresponding activities.-
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Assignment(e-tivity 1.2)
This e-tivity 1.2 is designed as an assignment to be submitted helps well prepare you to understand the basics of the interest rate.
Read the following resources:
• “Deterministic Cash-Flows” available at http://www.columbia.edu/~mh2078/FoundationsFE/DeterministicCashFlows.pdf
• Lecture notes/slides
Task:
Find how long should be left $1000 to accumulate at 6% effective in order it will amount to twice the accumulated value of another $1000 deposited at the same time at 4% effective.
Send the file of your summary to e-moderator electronic mail(nhategekimana@ur.ac.rw) before the start of a new unit, exactly by Tuesday at 23h00 in the week this unit is taught. -
E-tivity 1.3 Forum
This e-tivity 1.3 helps well prepare you to understand the equations governing the cash flows for a given financial transaction.
Read the following resources:
• “Stephen G. Kellison (2009). The Theory of Interest, 3rd Edition. McGraw-Hill."
• Lecture notes
Task:
1. Read chapter 11, pages 1-39, and then
2. Let’s take an ideal investment of amount S that would accumulate cashflows at the nth period. Determine the sequence of the interest rate up to the last period.
3. What is the relationship between the present value and the future value of cash flows?
4. Post the file of your summary in the discussion board of this unit and wait for feedback from the e-Moderator. -
E-tivity10 Forum
Show your performance.
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