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

Assignment #  1

(Non-Graded)

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

In 1st question we find future value of annuity

F.V annuity = C* [(1+i) ^n -1/i]

=20,000*[(1+0.05)^20 -1/0.05]

=20,000*[(1.05)^20 -1/0.05]

=20,000*(2.65-1/0.05)

=20,000*(1.65/0.05)

=20,000*33

=660,000 Rs.

Maryam MGT611 me kitny No han ap k ???

subject name?

business and Labor Law

mth302

Soundz simple

Please Discuss here about this assignment.Thanks

Our main purpose here discussion not just Solution

We are here with you hands in hands to facilitate your learning and do not appreciate the idea of copying or replicating solutions.

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%.

C = cash flow per period = 25,000

I = interest rate = 0.12

n = number of payments = 2 year

PV= 25,000*[1-(1+0.12)^-2/0.12]

PV = 25,000*[1-(1.12)^-2/0.12]

PV = 25,000*[1-(0.797193877)/0.12]

PV = 25,000*[0.202806123/0.12]

PV = 25,000*[1.690051025]

PV = \$42251.27

PV = 25,000*[1-(1.12)^-2/0.12]

PV = 25,000*[1-(0.797193877)/0.12]

plz explain this step

Interest Compounded

Total Amount  =53064

Compound Interest =33064 Ans

Present Value of an Annuity

PV=42250 Ans

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