DSC1630
ASSIGNMENT 3
DUE DATE: 2 APRIL 2026
, QUIZ
, 6:25 AM DSC1630-26-S1: Assessment 3
Assessment 3
DSC1630-26-S1 Welcome Message Assessment 3
Done: Receive a grade
Opened: Sunday, 1 February 2026, 8:00 AM
Closes: Thursday, 2 April 2026, 11:00 PM
Assignment 3: 206588
Please work through the following before answering the assignment questions:
Attempts allowed: 3
Grading method: Highest grade
Summary of your previous attempts
Marks /Grade /
AttemptState15.00100.00Review
1Finished15.00100.00
Submitted Saturday, 14 March
2026, 6:25 AM
Highest grade: 100..00.
Question 1
Answer saved
Marked out of 1.00
Tsakani buys a house and makes a down payment of 16% of the price of
the house. For the remaining amount, she manages to secure a loan at an
, 3/14/26, 6:23 AM Assessment 3 (page 1 of 15)
DSC1630-26-S1 Welcome Message Assessment 3
QUIZ
interest rate of 12,05% per year, compounded monthly, for a period of 20
years. Her monthly payment is R18 556,84.
The down payment is
a. R346 771.
b. R268 800.
c. R320 000.
d. R254 061.
This is an amortisation problem!!!
. The monthly payment of R18 556,84 is used to pay off a loan that covers the
remaining 84% of the house price (100% – 16% down payment). Step 1: Determine the
loan amount The loan is an ordinary annuity. The present value P P (the loan amount)
is given by: P = R × a n Ǧ Ǧ i P=R×a n Ǧi Where: R =
18 556 , 84 R=18556,84 (monthly payment) n = 20 × 12 = 240 n=20×12=240 months i
= 12.05 % 12 =
0.1205 12 i= 12 12.05% = 12 0.1205 Using the financial keys of a calculator (or the
formula),
P = 18 556 , 84 × a 240 Ǧ Ǧ 0.1205 12 = R 1 680 000 P=18556,84×a 240 Ǧ 12 0.1205
=R1680000
Calculate the house price The loan of R1 680 000 represents 84% of the house price:
House price = 1 680 000 0.84 = R 2 000 000 House price= 0.84 1680000
=R2000000
Calculate the down payment The down payment is 16% of the house price: Down
payment = 2 000 000 × 0.16 = R 320 000 Down payment=2000000×0.16 =R320000
1/1
ASSIGNMENT 3
DUE DATE: 2 APRIL 2026
, QUIZ
, 6:25 AM DSC1630-26-S1: Assessment 3
Assessment 3
DSC1630-26-S1 Welcome Message Assessment 3
Done: Receive a grade
Opened: Sunday, 1 February 2026, 8:00 AM
Closes: Thursday, 2 April 2026, 11:00 PM
Assignment 3: 206588
Please work through the following before answering the assignment questions:
Attempts allowed: 3
Grading method: Highest grade
Summary of your previous attempts
Marks /Grade /
AttemptState15.00100.00Review
1Finished15.00100.00
Submitted Saturday, 14 March
2026, 6:25 AM
Highest grade: 100..00.
Question 1
Answer saved
Marked out of 1.00
Tsakani buys a house and makes a down payment of 16% of the price of
the house. For the remaining amount, she manages to secure a loan at an
, 3/14/26, 6:23 AM Assessment 3 (page 1 of 15)
DSC1630-26-S1 Welcome Message Assessment 3
QUIZ
interest rate of 12,05% per year, compounded monthly, for a period of 20
years. Her monthly payment is R18 556,84.
The down payment is
a. R346 771.
b. R268 800.
c. R320 000.
d. R254 061.
This is an amortisation problem!!!
. The monthly payment of R18 556,84 is used to pay off a loan that covers the
remaining 84% of the house price (100% – 16% down payment). Step 1: Determine the
loan amount The loan is an ordinary annuity. The present value P P (the loan amount)
is given by: P = R × a n Ǧ Ǧ i P=R×a n Ǧi Where: R =
18 556 , 84 R=18556,84 (monthly payment) n = 20 × 12 = 240 n=20×12=240 months i
= 12.05 % 12 =
0.1205 12 i= 12 12.05% = 12 0.1205 Using the financial keys of a calculator (or the
formula),
P = 18 556 , 84 × a 240 Ǧ Ǧ 0.1205 12 = R 1 680 000 P=18556,84×a 240 Ǧ 12 0.1205
=R1680000
Calculate the house price The loan of R1 680 000 represents 84% of the house price:
House price = 1 680 000 0.84 = R 2 000 000 House price= 0.84 1680000
=R2000000
Calculate the down payment The down payment is 16% of the house price: Down
payment = 2 000 000 × 0.16 = R 320 000 Down payment=2000000×0.16 =R320000
1/1
