DSC1630 ASSIGNMENT 02
SEMESTER 02 2025
BOOK US ON WHATSAPP 0645167275
BOOK US ON WHATSAPP 0645167275
BOOK US ON WHATSAPP 0645167275
QUESTION 01
Determine the equivalent weekly compounded interest rate (to two decimal places) of an interest
rate of 14,90% per year, compounded quarterly.
Question 2 [4]
Quarterly deposits of R400 each are made into a bank account earning interest at 16% per year
compounded quarterly. Determine the time in quarters (rounded to the nearest quarter) that it
will take for the account to accumulate to R40000. Draw an appropriate timeline showing all the
given values.
Problem
, • Quarterly deposit (R): R400
• Accumulated value (S): R40 000
• Interest rate (i): 16% per year = 16% ÷ 4 = 4% per quarter
• Unknown (n): Time in quarters until account reaches R40 000
Final Answer
• 41 quarters (rounded)
Now R400 R400 ... R400
|---------|---------|------...---|
1q 2q nq (~41)
FV = R40 000
Question 3
Your investment of R35000 accumulates to R48320 over a period of four years. Calculate the
continuous compounding rate per year (to one decimal place) that you have earned.
SEMESTER 02 2025
BOOK US ON WHATSAPP 0645167275
BOOK US ON WHATSAPP 0645167275
BOOK US ON WHATSAPP 0645167275
QUESTION 01
Determine the equivalent weekly compounded interest rate (to two decimal places) of an interest
rate of 14,90% per year, compounded quarterly.
Question 2 [4]
Quarterly deposits of R400 each are made into a bank account earning interest at 16% per year
compounded quarterly. Determine the time in quarters (rounded to the nearest quarter) that it
will take for the account to accumulate to R40000. Draw an appropriate timeline showing all the
given values.
Problem
, • Quarterly deposit (R): R400
• Accumulated value (S): R40 000
• Interest rate (i): 16% per year = 16% ÷ 4 = 4% per quarter
• Unknown (n): Time in quarters until account reaches R40 000
Final Answer
• 41 quarters (rounded)
Now R400 R400 ... R400
|---------|---------|------...---|
1q 2q nq (~41)
FV = R40 000
Question 3
Your investment of R35000 accumulates to R48320 over a period of four years. Calculate the
continuous compounding rate per year (to one decimal place) that you have earned.
