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DSC1630 Assignment 2 2025 - Distinction Guaranteed _ UNISA

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This document contains the complete solution for DSC1630 Assignment 2 (Semester 2, 2025). It provides step-by-step worked answers with formulas, calculations, and timelines on time value of money and financial mathematics, covering: Equivalent Weekly Interest Rate: Conversion from 14.90% p.a. compounded quarterly. Future Value of Quarterly Deposits: Determining the number of deposits needed to reach R40 000 at 16% p.a. Continuous Compounding: Growth of R35 000 to R48 320 over 4 years, solving for the continuous interest rate. Future Value of Annuity Due: Thabo’s monthly deposits of R6 000 for 6 years at 8.94% p.a. Present Value of Loan Repayments: Loan repaid every 2 months (R25 000 per installment) for 6 years at 7.5% p.a. Each question includes clear formulas, substitution, calculation steps, and timelines (cash flow representation), making it easy to follow and replicate. This resource is ideal for UNISA students taking DSC1630 (Introductory Financial Mathematics

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University Of South Africa [UNISA]
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Robert Brown Financial Mathematics
  • 2012
  • 9781259033803
  • Unknown

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University of South Africa [UNISA]
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University of South Africa [UNISA]
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Uploaded on
September 20, 2025
Number of pages
5
Written in
2025/2026
Type
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Questions & answers

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  • dsc1630

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DSC1630
ASSIGNMENT 2
DUE DATE: SEPT 2025

, DSC1630 ASSSIGNMENT 2 2025
SEPTEMBER 2025


Question 1 Determine the equivalent weekly compounded interest rate
(to two decimal places) of an interest rate of 14,90% per year,
compounded quarterly


Q1 — Equivalent weekly rate
Formula:
1/52
4
EAR = (1 + 0.149/4) − 1, iweek = (1 + EAR)
​ −1

Calc: EAR = (1.03725)4 − 1 = 0.157534.
iweek ​
= (1.157534)1/52 − 1 = 0.002817.
​




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