Accountancy, asked by haidurganand12, 11 months ago

Mr. x borrowed a loan of Rs.5000000 for a period of 5 years to be repaid in equated half yearlyinstalment at an interest rate of 12% per annum. prepare a loan repayment schedule showing payments. Generalize. the sheet to incorporate any changes in year,amount,rate or periodicity. you are required to write down the formulas in the approprite cells.​

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Answered by knjroopa
1

Explanation:

Given Mr. x borrowed a loan of Rs.5000000 for a period of 5 years to be repaid in equated half yearly instalment at an interest rate of 12% per annum. prepare a loan repayment schedule showing payments. Generalize. the sheet to incorporate any changes in year,amount,rate or periodicity. you are required to write down the formulas in the appropriate cells.​

  • An equated instalment is an instalment of equal value to other instalments.
  • Now equated instalment = principal / annuity factor
  • So the annuity factor is the ratio of the equated annual instalment to the principal borrowed at the beginning.
  • So the annuity factor is given by AF = 1 – (1 + r)^-n / r
  • So r = interest rate / period = 5% = 0.05
  • So n = number of periods = 4 years
  • So we have  
  •              AF = (1 – 1 / (1 + r)^n ÷ r )
  •                   = (1 + r)^n – 1 / (1 + r)^n ÷ r
  •                   = (1 + 0.05)^4 – 1 / (1 + 0.05)^4 / 0.05
  •                   = (1.05)^4 – 1 / (1.05)^4 / 0.05
  •                   = 0.21550625 / 1.21550625 / 0.05
  •                  = 3.54

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https://brainly.in/question/21443457

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