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An investment with an initial deposit of $11,505 is growing at an interest rate of 6
An investment with an initial deposit of $11,505 is growing at an interest rate of 6.21% compounded quarterly. Round all answers to two decimal places where necessary.
1. Find the accumulated amount of the investment at the end of 2 years.
P/Y = C/Y = N = I/Y = %
PV = $ PMT = $ FV = $
- At the end of the 2 years, the interest rate changes to 6.67% compounded semi-annually. Calculate the accumulated amount in this investment at the end of 9 years from the initial deposit of $11,505.
P/Y = C/Y = N = I/Y = %
PV = $ PMT = $ FV = $
3. Find the total amount of interest accumulated during the entire 9 years of the investment.
Total Interest = $ (enter a positive value)
Expert Solution
1.Computation of Accumulated Amount at the End of 2 years using FV Function in Excel:
=fv(rate,nper,pmt,-pv)
Here,
FV = Future Value or Accumulated Amount = ?
Rate = 6.21%/4 = 1.5525% compounded quarterly
Nper = 2 years*4 quarters = 8 quarters
PMT = 0
PV = $11,505
Substituting the values in formula:
=fv(1.5525%,8,0,-11505)
FV or Future Value = $13,014.02
So, Accumulated Amount at the End of 2 years is $13,014.02
2.Computation of Accumulated Amount at the End of 9 years using FV Function in Excel:
=fv(rate,nper,pmt,-pv)
Here,
FV = Future Value or Accumulated Amount = ?
Rate = 6.67%/2 = 3.335% compounded Semiannual
Nper = (9 - 2) years*2 Semiannual Periods = 14 Semiannual Periods
PMT = 0
PV = $13,014.02
Substituting the values in formula:
=fv(3.335%,14,0,-13014.02)
FV or Future Value = $20,600.40
So, Accumulated Amount at the End of 9 years is $20,600.40
3.Computation of Total Interest accumulated during the entire 9 years of the investment:
Total Interest = Accumulated Amount at the End of 9 years - Initial Deposit
= $20,600.40 - $11,505
Total Interest = $9,095.41
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