Back to Blog

Read Article

Discussion –

Read Article

Discussion –

STPM PBS Assignment

STPM 2015 Mathematics (M) Term 3 Assignment

By KK LEE

July 29, 2015

STPM 2015 Term 3 Assignment Coursework Mathematics (M)

Introduction

Loan repayment can be made based on simple or compound interest. Asset depreciation can be calculated using the flat rate depreciation method or the reducing balance depreciation method.

Sample Question

A brand new car which costs RM 100 000 is bought with a down payment of RM10 000 and a loan of RM90 000.

1. Bank X offers a loan which is to be ammortised with 60 monthly payments at an annual interest rate of 2.5%.
(a) Calculate the monthly payment to amortise the loan.
(b) Construct an amortisation schedule.

2 Bank Y offers a loan which is to he amortised with 60 monthly payments at an annual interest rate of 3% compounded monthly.
(a) Calculate the monthly payment to amortise the loan.
(b) Construct an amortisation schedule.

3 Which loan, from Bank X or Bank Y, you would suggest to the car owner? Give your reasons.

4 The car will depreciate to a scrap value of RM40 000 in 5 years.

(a) Using the flat rate depreciation method, find the depreciation rate of the car for the loan from Bank X and construct a table showing the year and the book value.

(b) Using the reducing balance depreciation method, find the depreciation rate of the car for the loan from Bank Y and construct a table showing the year and the book value.

(c) Determine, for each loan, the best year which has the minimum loss to the car owner if the car is to be sold within five years.

Sample Solution

Solution 1 a

According to the one of the school teacher, simple interest is used here.

Solution 1 b

Solution 2 a

Solution 2 b

Solution 3

Bank Y. Monthly payment is lower.

Solution 4 a

Solution 4 b

Solution 4 c

Please ask your teacher if the formula are different.
Loss is calculated below using Book Value – total Payment paid to bank – loan balance – down payment. Assuming the car is sold at the end of the year.

Here are our most recent updates posts

- Feel free to check it out -

STPM 2015 MT Chapter 8 Booklet A Page 20 Problem 11 Question 14

KK LEE Booklet Solution

Given that $y=\sec^{-1}(e^x)$ , prove that $\frac{dy}{dx}=\frac{1}{\sqrt{e^{2x}-1}}$ .

2015 MT Chapter 8 Booklet A Page 20 Problem 11 Question 11

KK LEE Booklet Solution

Given that $y=(\sin^{-1}x)^2$ , show that $(1-x^2)\frac{d^2y}{dx^2}-x\frac{dy}{dx}-2=$ 0.

STPM 2013 Mathematics (T) and (M) Final Grade

STPM Reference

This is the collection of the final grade of the new STPM Mathematics (T) year 2013. The final grade of Mathematics (T) is based on the grade of Paper 1, Paper 2, Paper 3, and Paper 4(PBS). All the exam marks are hidden and it is hard for STPM students to determine...

2015 MT Chapter 8 Booklet A Page 20 Question 6

KK LEE Booklet Solution

Given that $y=\ln(1+x)-x+\frac{1}{2}x^2$ show that $\frac{dy}{dx}>=0$ for all values of $x>-1$ .

2015 MT Chapter 8 Booklet A Page 20 Question 10

KK LEE Booklet Solution

If $\sin y = 2 \sin x$ , show that (a) $(\frac{dy}{dx})^2=1+3\sec^2 y$ , (b) by differentiating (a) with respect to $x$ , show that $\frac{d^2y}{dx^2}=3\sec^2 y \tan y$ , and hence that $\cot y \frac{d^2y}{dx^2}-(\frac{dy}{dx})^2+1=$ $0$ .

2015 MT Chapter 8 Booklet A Page 20 Question 8

KK LEE Booklet Solution

Given $y=\ln(\sin px + \cos px)$ . Prove that $\frac{d^2y}{dx^2}+(\frac{dy}{dx})^2+p^2=0$ .

Tags: Annuity Depreciation Interest MM Term 3 STPM 2015 STPM MM

← Previous Post Next Post →

KK LEE

KK LEE has been a STPM Mathematics tuition teacher since June 2006, but his love of Maths dates back to at least 1999 when he was Form 4. KK LEE started teaching in 2006 at Pusat Tuisyen Kasturi. He was known as "LK" when he was teaching in PTK. After teaching STPM Mathematics for 8 years in PTK, he joined Ai Tuition Centre in 2014. Over the years he has taught Mathematics (T), Mathematics (S), Mathematics (M), Additional Mathematics.

36 Comments

jennis on August 7, 2015 at 6:02 pm

hi sir! may i ask for question 4c, how to determine the best year to sell the car? thanks
Reply
- KK LEE on August 7, 2015 at 6:06 pm
  
  I used the formula stated above. The red one is the best year for me.
- jennis on August 7, 2015 at 6:22 pm
  
  that’s mean the best year to sold is when the depreciation expenses is lowest?
- KK LEE on August 7, 2015 at 8:04 pm
  
  Since it is not mentioned in the question, i used average loss
- jennis on August 8, 2015 at 10:51 am
  
  thanks sir!
KiaQin on August 12, 2015 at 9:20 pm

Hi sir. I would like to know that are the answers for flat rate depreciation and reducing balance depreciation going to be the same?
Reply
- KiaQin on August 12, 2015 at 9:22 pm
  
  I mean the table/schedule for question 4(a) and 4(b)
- KK LEE on August 12, 2015 at 10:39 pm
  
  no. write pic was posted. Thanks for remind. 🙂
- KiaQin on August 19, 2015 at 5:43 am
  
  thanks sir.
fanny on August 12, 2015 at 11:32 pm

hey sir,may i know how to built a title ? can give some example ? thx sir
Reply
- KK LEE on August 13, 2015 at 12:10 am
  
  “How to choose your car loan”
- fanny on August 16, 2015 at 11:57 pm
  
  thanks sir. may i know how to gwt thw total payment in 4c ?
- KK LEE on August 17, 2015 at 1:11 pm
  
  Please refer question 1 and 2
Joey on August 15, 2015 at 1:03 pm

4 c what the question meaning ??
Reply
- KK LEE on August 16, 2015 at 12:05 am
  
  Find the year which gives the minimum loss. I used average loss to calculate.
Song Tat on August 22, 2015 at 2:36 pm

hi sir, may i know the calculation formula for all the column in table answer 4(c)?
Reply
- KK LEE on August 22, 2015 at 11:08 pm
  
  Hmmm.. In short, finding the average loss per year.
Celice on August 22, 2015 at 5:04 pm

Sir, may I ask what should I include in the introduction?
Reply
- KK LEE on August 22, 2015 at 11:07 pm
  
  No comment. Thanks
Kevin on August 23, 2015 at 10:18 pm

Is it possible to use a different method in determining yearly loss. Can I use the accummulated loss of a present year subtracted by the yearly loss of a previous year to determine yearly loss? My accumulated loss is defined as :present book value-total payment made-downpayment-outsatnding principal balance
Reply
- KK LEE on August 23, 2015 at 11:10 pm
  
  It depends on your teacher. I have no answer from your school. 😛
- Kevin on August 24, 2015 at 11:09 pm
  
  Oh ok….Thank you very much for your assistance sir.It is much appreciated.
xuan on August 26, 2015 at 10:00 pm

SIR, May I ask tat for ques 4c, wat is the reason to justify our ans? cuz my teacher said he can accept any ans as long as we are able to convince him. AND, I dn really understand y shud we find the average loss? Thanks
Reply
- KK LEE on August 26, 2015 at 10:25 pm
  
  As your school teacher said, you can use any methods. So the method i used is to find average loss per year.
Rafie on September 7, 2015 at 8:58 pm

Hello sir, i want to ask about question 1.(a) .. can we use the formula such in question 2.(a) ?
Reply
- KK LEE on September 8, 2015 at 11:37 am
  
  Some school teachers said no.
Rafie on September 8, 2015 at 8:38 pm

Thank you very much sir ..
Reply
Rafie on September 9, 2015 at 7:23 pm

sir,based on your answer in 4(C) , so, the best year to sell the car is at the end of the year ?
Reply
- KK LEE on September 9, 2015 at 10:57 pm
  
  yes
Neoh on September 10, 2015 at 12:07 am

Hi Sir,
May I ask that:
Why the formula to calculate the loss do not include the Cost and Loan?
Since the cost is the cash outflow, and the loan is the cash inflow..
And the considering of Cost and Loan will also affect amount of the total loss for current year.
Therefore, may the formula to calculate the loss will be written as below?

Loss = Loan amount – initial book value + down payment – total payment to bank – loan balance + book value at the current year
Reply
- KK LEE on September 10, 2015 at 12:13 am
  
  You can use any of the formula as long as your teacher accept it.
- Neoh on September 12, 2015 at 7:32 am
  
  Ok. Thx for answer me.. Have a good day ^^
TAN on September 16, 2015 at 10:30 pm

SIR，how to do concluaion
Reply
- KK LEE on September 16, 2015 at 10:52 pm
  
  Please ask your teacher. I am not going to teach on conclusion.
liong on October 11, 2015 at 7:02 pm

hi, sir..
i want to ask about the monthly payment for question 1b…
the answer is only that one?
Because my answer is 1597.62…
will my answer is wrong? The answer for other questions are the same with you..
Reply
- KK LEE on October 13, 2015 at 12:36 am
  
  It depends on your teacher