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Exam (elaborations)

DSC1630 ASSIGNMENT 5 SEMESTER 2 2023

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Exam of 9 pages for the course Introductory Financial Mathematics at Unisa (Assignment 5)

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Question 1
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Six years ago Lucas lent Charlotte R150 000 on condition that she would pay him back in nine
years' time. The applicable interest rate is 15,5% per year, compounded monthly. Charlotte also
owes Lucas another amount of R250 000 that she has to pay back six years from now for a loan
that earned interest at 16,4% per year, compounded semi-annually. Charlotte asks Lucas if she
can settle both her debts three years from now. The total amount that Charlotte will have to pay
Lucas three years from now is


a.
R400 000,00.


b.
R755 667,10.


c.
R475 017,72.


d.
R488 092,15.


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An effective rate of 29,61% corresponds to a nominal rate, compounded weekly, of


a.
29,53%.


b.
29,61%.


c.
26,00%.


d.
34,35%.

, Question 3
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Winnie borrows money from James at a simple discount rate of 9,75% per year. She must pay
him R35 000 in 27 months’ time. The amount of money that she receives from James now is


a.
R27 321,88.


b.
R42 678,13.


c.
R28 703,23.


d.
R44 835,87.


Question 4
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Consider BOND AAA
Coupon rate: 9,4% per year
Yield to maturity: 10,6% per year
Settlement date: 16 July 2023
Maturity date: 9 October 2049
The accrued interest is


a.
R2,51694%.


b.
R4,36612%.


c.
R2,52384%.

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Uploaded on
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