Final answer:
The future values for ordinary and annuity due can be found using the formula FV = P(1+r)^n. For $400 per year for 16 years at 8%, the future value is $1,087.75 for ordinary and $1,173.21 for annuity due. For $200 per year for 8 years at 4%, the future value is $1,676.80 for ordinary and $1,741.63 for annuity due. For $1,000 per year for 2 years at 0%, the future value is $2,000.00 for both ordinary and annuity due.
Step-by-step explanation:
To find the future values of these ordinary annuities, we can use the formula:
FV = P(1+r)^n
Where FV is the future value, P is the annual payment, r is the interest rate, and n is the number of years.
For $400 per year for 16 years at 8%:
FV = 400(1+0.08)^16
FV = $1,087.75
For $200 per year for 8 years at 4%:
FV = 200(1+0.04)^8
FV = $1,676.80
For $1,000 per year for 2 years at 0%:
FV = 1000(1+0)^2
FV = $2,000.00
For $400 per year for 16 years at 8% (annuity due):
FV = 400(1+0.08)^16
FV = $1,087.75(1+0.08)
FV = $1,173.21
For $200 per year for 8 years at 4% (annuity due):
FV = 200(1+0.04)^8
FV = $1,676.80(1+0.04)
FV = $1,741.63
For $1,000 per year for 2 years at 0% (annuity due):
FV = 1000(1+0)^2
FV = $2,000.00(1+0)
FV = $2,000.00