Answer:
The amount to be invested today is $3604.78
Explanation:
This is a case of an ordinary annuity,to calculate the present value, the below formula is made used of:
PV=A*(1-1/(1+r)^N)/r
A is the annuity payment of $1000 for 5 years
r is the rate of return on the annuity of 12%
N is the duration of the annuity payment , that is 5years
PV=$1000*(1-1/(1+12%)^5)/12%
PV=$3604.78
In essence, in order to receive $1000 every year starting a year today for 5 years, the sum of $3604.78 must be deposited today at rate of return of 12% per year.
The amount required would be been different if the first payment of $1000 is due today
