You have a plan to buy a motorcycle 6 years from now. The price of the motorcycle will be Tk. 6,00,000

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You have a plan to buy a motorcycle 6 years from now. The price of the motorcycle will be Tk. 6,00,000. You want to accumulate this money in a bank account by monthly installment, which gives you 12% interest. What is your monthly installment?

To find the required monthly installment, we use the Sinking Fund Formula (Future Value of an Ordinary Annuity), where payments are deposited at the end of each month.

Given Data:

  • Target Future Value (f37a899b 3ed3 458f a2e2 4a994c6e45fa): Tk. 6,00,000
  • Time Period (caf7e74f 665e 48d7 b074 ce8beb62e09f): 6 years
  • Total Monthly Payments (080af29e 399f 46f7 ab1e 885d3fc2a4c9): db5b5728 c443 4e05 9cfa 5d1eacb11345
  • Annual Interest Rate (81e63311 ce15 476d ba11 c0894a98f508): 12%
  • Monthly Interest Rate (9880beb8 32a6 40b5 9ee9 de8bf7b2436f): 4b28b011 c8c5 464a a044 011e575466b8 per month

Formula:

The Future Value of an Ordinary Annuity formula is:

image 19

Rearranging to solve for the Monthly Installment (1479a303 ac2d 43ee 8ec4 8682c015ebd0):

image 20

Step-by-Step Calculation:

  1. Calculate 13426260 d3eb 4cc2 9b35 45bb1f9e06fe:
image 25
  1. Calculate the Denominator:
image 24
  1. Calculate b3718ffc 49fc 4c8f 854d 4b478f12337e:
image 23
image 22

Final Answer:

  • Ordinary Annuity (Payments made at the end of each month):

Your required monthly installment is Tk. 5,730.12.

  • Annuity Due (Payments made at the start of each month):

If deposits are made at the beginning of each month, the monthly payment would be:

image 21

আর্টিকেলের শেষ কথাঃ You have a plan to buy a motorcycle 6 years from now. The price of the motorcycle will be Tk. 6,00,000. You want to accumulate this money in a bank account by monthly installment, which gives you 12% interest. What is your monthly installment?

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