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Homework answers / question archive / Determine whether receiving BD 2,042 today is equivalent to receiving BD 3,000 after five (5) years, assuming that the interest rate per annum is 8%

Determine whether receiving BD 2,042 today is equivalent to receiving BD 3,000 after five (5) years, assuming that the interest rate per annum is 8%

Economics

Determine whether receiving BD 2,042 today is equivalent to receiving BD 3,000 after five (5) years, assuming that the interest rate per annum is 8%. What is the equivalent of this amount after year 3?

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Answer) We will use the formula of compound interest to slove this problem as follows

Compound interest formula is ; Final amount=Initial amount(1+interest rate/number of times interest applied in a period)^number of times interest applied in a period*time period

Following values are given

  • Initial amount= BD 2,042
  • Time period= 5
  • Interest rate=8%
  • Number of times interest applied in a period=1(since it is annual)

Now putting these values in formula we get

Final amount=2042(1+0.08)^5=3000.367,

So,Yes having BD 2,042 is equal to receiving BD 3,000 5 years from now at an interest rate of 8%

Now,coming to part 2,here we have to change time period to 3 years,putting values we get

Final amount=2042(1+0.08)^3=2042(1.08)^3=BD 2572.33

So,equivalent of given amount after 3 years at interest rate of 8% per annum would be BD 2572

Answer is complete.Thank you!