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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%. What is the equivalent of this amount after year 3?
Expert Solution
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!
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