Answer:
What is the present value of the payments if they are in the form of an ordinary annuity?
Discount all cash flows
12,000/1.09=11,009
12,000/1.09^2=10,100
12,000/1.09^3=9,266
12,000/1.09^4=8,501
12,000/1.09^5=7,799
Add all these discounted cash flows= $46,675 is the present value of ordinary annuity
a-2. What is the present value of the payments if the payments are an annuity due?
In an annuity due payment is made at the beginning of the year so we subtract one from each compounding period so,
12,000/1.09^0=12,000
12,000/1.09=11,009
12,000/1.09^2=10,100
12,000/1.09^3=9,266
12,000/1.09^4=8,501
add all these discounted cash flows = $50,876= PV of annuity due
FV of ordinary annuity
PV= 0
PMT=12,000
I= 9
N= 5
FV=? Put these in financial calculator= $71,816
Fv of annuity due=
12,000+
PV=0
PMT=12,000
I=9
N=4
FV=?=66,877
Pv of annuity due is higher and FV or ordinary annuity is higher.
Explanation:
Wages because employees receive wages every week
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