Financial Mathematics: Grade 12 (Interest: Present and Future Value of Annuities)

Introduction

https://youtu.be/-Ud49FSEh7A

 

Task

Instruction 1:

Watch the videos on the provided links on how to determine the Present Value of an Annuity (to borrow) as well as calculating the Future Value of an Annuity (to save). Make notes whilst watching the video and practice the calculations in order for you to familiarize yourselves with the steps.

 

Instruction 2:

After watching the videos, carefully read the scenarios and then answer the questions that follows. Ensure to substitute correctly and make good use of your algebraic skills. 

 

Instruction 3:

After completing the questions, scan these pages (save as pdf.) and rename the file name to YourName_Surname. Share this files with email: imtiyaazadams2908@gmail.com

Process

Here are the links to:

Future Value Annuities: - Determining  https://youtu.be/lPrRj6G61eE

                                        - Determining   https://youtu.be/RbbwWdzG9mc

Present Value Annuities: - Determining  https://youtu.be/zVHIAnOk_1c?list=PLyQONR8EmgB5kfTEMxdkVyGrVPlHA_1Z2

                                           - Determining  https://youtu.be/b8IGrfun3fk

Alternative links to: 

Future Value Annuities: - https://youtu.be/qI59tv5ty9M?list=LL

Present Value Annuities: - https://youtu.be/3LZwzHAFpOI?list=LL

 

Evaluation
The questions that follows will be marked according to this criteria:
Correct Answers Ratings Percentage
0-1 Not able to determine investment amounts where a fixed deposit is made every month 0-39%
0-2 Elementary skills to determine investment amounts where a fixed deposit is made every month 40-59%
0-3 Substantial ability to determine investment amounts where a fixed deposit is made every month 60-79%
0-4 Outstanding ability to determine investment amounts where a fixed deposit is made every month 80-100%

 

Conclusion

Question 1

John decides to purchases a house at R700 000 and makes a home loan with the interest rate of 16% p.a. compounded monthly over 30 years.

1.1) Calculate the monthly repayments.

1.2) Calculate the outstanding balance immediately after his 23rd payment.

Consider the following formula:

    

Question 2

Jeff is saving for his retirement 25 years from now by opening a savings plan. He will make a fixed-deposit of R200 at the end of each month. Interest is 11% p.a. compounded semi-annually.

2.1) Calculate the future value of Jeff’s investment.

2.2)  Determine the amount of the fixed-deposit if Jeff wants to have R 80 000           when he retires.

Consider the following formula:

Credits

Bibliography:

Matric revision: Maths: Financial Mathematics (3/6): Future value, Example 1. 2013. [Film] South Africa: wcednews.

Matric revision: Maths: Financial Mathematics (4/6): Future value, Example 2. 2013. [Film] South Africa: wcednews.

Matric revision: Maths: Financial Mathematics (5/6): Present value. 2013. [Film] South Africa: wced.

Matric revision: Maths: Financial Mathematics (6/6): Outstanding balance, Question 1.2 & Reflections. 2013. [Film] South Africa: wcednews.

Working with Future Value Annuities. 2014. [Film] South Africa: Mindset.

Working with Present Value Annuities. 2014. [Film] South Africa: Mindset.