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# MTH302 - Business Mathematics & Statistics Assignment No. 01 Solution and Discussion Fall 2013 Due Date 9 DEc, 2013

Assignment #  1

MTH302 (Spring 2013)

Total marks: 0

Lecture # 1 to 11

Due Date: Monday, December 09, 2013

This is a non graded assignment which means it do not carry any marks. You can make the solution and upload it on VULMS. We will check your assignment and mention the mistakes if any in your solution file.

Question:

Suppose you are managing an account in which you deposit Rs. 20,000 at the end of each year for 20 years. How much amount you have accumulated with the assumption that you earn 5% interest compounded annually.

Question:

Calculate the present value of an annuity of Rs.25000 paid at the end of each month of 2 years. The annual interest rate is 12%.

Question:

Ali needs to borrow Rs 500,000 for three years. Which of the following option is more beneficial for him?

(i)  3.2 % simple interest rate

(ii) 1.6% compound interest rate when it is compounded semi annually

Question:

Given the following matrices:

Compute

(i)                 AB

(ii)               A+2B

(iii)             AC

(iv)             5C

(v)               B-C

Note:

Give proper reason where computation is not possible.

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### Replies to This Discussion

anyone plz explain compound interest rate...

Sibgha Hashmi

S= P (1 + r/100) ^n

n = time period

may b

monthly = 12...  divided by 12
quarterly = 4
semi-annually = 2
annually = 1

s= money, compund amount

p=principal

r= rate of interest or compund interest rate

after obtaining compnd amount

we can find compund interest

so

compund interest=compond amount-principal

hope it will help u

Complete Solution of MTH 302 Assignment

see attach file

MTH302_Assignment#01_Complete_Solution

Attachments:

Solution:

(i)                 AB

(1*1)+  (2*3) + (4*1)                (3*1)+(1*3)+ (1*1)                (1*1)+ (4*3)+ (-1*1)

AB =   (1*2)+ (2*1)+ (4*4)                (3*2)+ (1*1)+ (1*4)                (1*2)+ (4*1)+ (-1*4)

(1*4)+ (2*1) + (4*-1)              (3*4)+ (1*1)+ (1*-1)              (1*4)+ (4*1)+ (-1*-1)

1+6+4              3+3+1              1+12-1

AB =   2+2+16            6+1+4              2+4-4

4+2-4               12+1-1             4+4+1

11        7          12

AB=    20        11        12

2          12        9                      Ans

Q .1= 661319

Q . 2= 42251

Q . 3 (I) = 48000 (II) = 49961

Q. 4 iii and v there is no computation

(i) point mein sinple interest calculate krna hai is formula se

I= P * R * T/ 100

Where i is simple interest R is interest rate and T is time period

(2) point mein compound interest calculate krna hai by using this formula

S = P ( 1 + r / 100) ^ n

Where P is principal amount which is 500000 r is interest rate and n is no. of periods

Interest Compounded

Total Amount  =53064

Compound Interest =33064 Ans

Present Value of an Annuity

PV=42250 Ans

I am pretty sure this is a 100% correct answer.

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I am pretty sure this is a 100% correct answer.

Attachments:

Attachments:

part 3

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