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Date May Example question Marks available 1 Reference code EXM.2.SL.TZ0.1
Level Standard Level Paper Paper 2 Time zone Time zone 0
Command term Give a reason Question number 1 Adapted from N/A

Question

Paul wants to buy a car. He needs to take out a loan for $7000. The car salesman offers him a loan with an interest rate of 8%, compounded annually. Paul considers two options to repay the loan.

Option 1: Pay $200 each month, until the loan is fully repaid

Option 2: Make 24 equal monthly payments.

Use option 1 to calculate

Use option 2 to calculate

Give a reason why Paul might choose

the number of months it will take for Paul to repay the loan.

[3]
a.i.

the total amount that Paul has to pay.

[2]
a.ii.

the amount Paul pays each month.

[2]
b.i.

the total amount that Paul has to pay.

[2]
b.ii.

option 1.

[1]
c.i.

option 2.

[1]
c.ii.

Markscheme

evidence of using Finance solver on GDC      M1

N = 39.8          A1

It will take 40 months         A1

[3 marks]

a.i.

40 × 200 = $ 8000        M1A1

[2 marks]

a.ii.

Monthly payment = $316  ($315.70)      M1A1

[2 marks]

b.i.

24 × 315.7 = $ 7580   ( $ 7576.80 )      M1A1

[2 marks]

b.ii.

The monthly repayment is lower, he might not be able to afford $316 per month.   R1

[1 mark]

c.i.

the total amount to repay is lower.     R1

[1 mark]

c.ii.

Examiners report

[N/A]
a.i.
[N/A]
a.ii.
[N/A]
b.i.
[N/A]
b.ii.
[N/A]
c.i.
[N/A]
c.ii.

Syllabus sections

Topic 1—Number and algebra » SL 1.7—Loan repayments and amortization
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Topic 1—Number and algebra

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