Question

In: Finance

Find the effective annual rate of interest (as a %, 2 decimal places) at which an...

Find the effective annual rate of interest (as a %, 2 decimal places) at which an amount of $2,000 today will accumulate to $4900 in 8 years.
(Solve using excel =RATE function; Answer in percentage rounded to two decimals without the % sign e.g. 1.8891 is 1.89)

Solutions

Expert Solution

The question demands me to use the RATE function in excel to solve the question which I have done.

The key here is to take the Initial Investment which is Present Value to be negative as it is a cash outflow.

The Answer is 11.85% and how I have used the formula has also been showcased.

Starting Amount ($2,000)
Future Value $4,900
Number of Periods 8
The effective annual rate of interest 11.85%
RATE Formula in Excel (nper, pmt, pv, [fv], [type], [guess])
nper - The total number of payment periods = 8
pmt - The payment made each period = 0
pv - The present value (Which needs to be negative as it as outflow) $       (2,000)
fv - [optional] is the future value $         4,900
type - [optional] When payments are due. 0 = end of period. 1 = beginning of period. Default is 0 0
guess - [optional] Your guess on the rate. Default is 10% 0

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