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Exam (elaborations)

DSC1630 Assignment 2 Due October 2025 - Distinction Guaranteed _ UNISA

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This document provides the full solution for DSC1630 Assignment 2 (Semester 2, 2025). It contains detailed worked examples, timelines, and formulas for time value of money and financial mathematics, covering: Equivalent Weekly Interest Rate: Converting 14.90% p.a. compounded quarterly into an equivalent weekly compounded rate. Future Value of Quarterly Deposits: How many R400 quarterly deposits are needed to reach R40 000. Continuous Compounding: Calculating the continuous rate required for R35 000 to grow to R48 320 in 4 years. Future Value of Annuity Due: Thabo’s monthly deposits of R6 000 for 6 years at 8.94% p.a., with FV ≈ R573 187. Present Value of Loan Repayments: PV of a loan with repayments of R25 000 every 2 months for 6 years at 7.5% p.a., yielding ≈ R721 182. Each question includes clear step-by-step calculations, substi

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University Of South Africa [UNISA]
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University of South Africa [UNISA]









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Petr Zima, Robert Brown Schaum\'s Outline of Mathematics of Finance
  • 1996
  • 9780071783477
  • Unknown

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University of South Africa [UNISA]
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University of South Africa [UNISA]
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  • dsc1630 assignment 2 2025

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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
EAR = (1 + 0.149/4)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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