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Homework answers / question archive / if a 5000 investment grews to 6450 in 30 months of monthly compounding what effective rate of return was the investment earning
if a 5000 investment grews to 6450 in 30 months of monthly compounding what effective rate of return was the investment earning
First we calculate Nominal Interest Rate using Rate Function in Excel:
=rate(nper,pmt,-pv,fv)*12
Here,
Rate = Nominal Interest Rate = ?
Nper = 30 months
PMT = 0
PV = $5,000
FV = $6,450
Substituting the values in formula:
=rate(30,0,-5000,6450)*12
Rate or Nominal Interest Rate = 10.23%
Now we calculate Effective Rate of Return:
Effective Rate of Return = (1+i/n)^n - 1
Here,
i = Nominal Interst Rate = 10.23%
n = Number of Compounding Periods = 12
Effective Rate of Return = (1+10.23%/12)^12 - 1 = 10.72%