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  • Question
  • An amount of 5,000 is invested at a fixed rate of 8 per cent per annum. What amount will be the value of the investment in five years time, if the interest is compounded every six months?


  • Options
  • A. 7401.22
  • B. 3456
  • C. 4567
  • D. 7890

  • Correct Answer
  • 7401.22 

    Explanation

    With slight modifications, the basic formula can be made to deal with compounding at intervals other than annually.

     

    Since the compounding is done at six-monthly intervals, 4 per cent (half of 8 per cent) will be added to the value on each occasion.

     

    Hence we use r = 0.04. Further, there will be ten additions of interest during the five years, and so n = 10. The formula now gives:

     

    V = P(1 + r)10 = 5,000 x (1.04)10 = 7,401.22

     

    Thus the value in this instance will be £7,401.22.

     

    In a case such as this, the 8 per cent is called a nominal annual

     

    rate, and we are actually referring to 4 per cent per six months.

  • Tags: Bank Exams, Bank PO

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