If money is worth 12% per annum compounded monthly, how long will it take the principal P to become four times the original value?
a. 7,27 years
b. 69,66 years
c. 139,32 years
d. 11,61 years
Clear my choice
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Solution Assignment 04
Introductory Financial Mathematics
DSC1630
Semester 2
Department of Decision Sciences
Important Information:
This document contains the solutions of
Assignment 04.
,DSC1630/SOL04/2
Dear DSC1630 student,
The solutions to the questions of the mandatory Assignment 04 are included in this document. Study them
and if you need clarification on any of the answers, please contact us at DSC1630@unisa.ac.za. Also use
these solutions when you prepare for the examination.
You will also find the key operations for the SHARP and the HP calculators at the end of each answer. These
key operations are not the only method, these are just examples. We hope it will help you to understand
the workings of your calculator. Please practise to use your calculator.
REMEMBER TO CLEAR ALL DATA FROM THE MEMORY BEFORE YOU ATTEMPT ANY CALCU-
LATIONS.
• SHARP EL-738 and newer versions: Press 2ndF M-CLR 0 0 if you wish to clear all the memories
and 2ndF CA if you just want to clear only the financial keys.
• HP10BII and newer versions: Press C ALL
Notes:
1. The final answer displayed on your calculator depends on how many decimals your
calculator’s display is set to. Set it to 6 or more decimals and only round off the final
answer to the required number of decimals as given in the options of the answers.
2. For bond calculations, set the number of decimals to 5.
HOW TO SET THE NUMBER OF DECIMALS DISPLAYED ON YOUR CALCULATOR:
• SHARP EL-738 and newer versions: Press SET UP 0 0. DIG(0-9)? appears on the screen. Enter
the number of decimals you wish to display.
• HP10BII and newer versions: Press DISP and then the number of decimals you wish to
display.
You are also welcome to contact us by e-mail if you need help regarding the study material. Our contact
hours are 07:00 until 16:00 - Monday till Friday.
Our contact details:
Lastly, everything of the best with Assignment 05, the mock exam. Please work through Assignments 1 to 4
in preparation for the mock exam.
Kind regards,
Mrs Adéle Immelman and Mrs Willemien van Hoepen
2
, DSC1630/SOL04/2
1 Correct Answers
Please note that in the quiz on myModules the answer options were randomised. Compare your answer to
the question’s final answer.
2 Solution Summary
The following is a summary of the answers:
Q1 R340 590,94 Option a
Q2 15,74% Option b
Q3 0,66 Option a
Q4 0,25 Option b
Q5 All of the other options Option d
Q6 Linear, strong but negative Option c
Q7 16,5 Option c
Q8 R2 583 623,93. Option c
Q9 25,25% Option d
Q 10 R500 000 Option d
Q 11 9,16% Option b
Q 12 7,92% Option a
Q 13 R115,97475% Option d
Q 14 R4,30932% Option c
Q 15 R107,56456% Option a
3 How to approach a question
Below are a few hints to consider when approaching a problem.
1. Read through the question.
2. Identify the type of problem by looking for identifying words. These will help you to decide which
formula to use.
3. Draw a time line of the situation, where applicable.
4. Write down the formula.
5. Go back to the question and identify the given values and substitute them into the formula.
6. Manipulate the formula if necessary.
7. Use your calculator to solve the unknown.
3
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