Answer:
<u>X= $15,692.9393</u>
Explanation:
Giving the following information:
Number of years= 30
Final value= 1,000,000
First, deposit $10000 for ten years (last deposit at t=10).
After ten years, you deposit X for 20 years until t=30.
i= 6%
First, we need to calculate the final value in t=10. We are going to use the following formula:
FV= {A*[(1+i)^t-1]}/i
FV= {10000*[(1.06^10)-1]}/0.06= $131807.9494
We can calculate the amount of money to input every year. We need to isolate A:
A= (FV*i)/[(1+i)^n-1]
First, we need to calculate the final value of the $131807.9494
FV= PV*[(1+i)^n]
FV= 131807.9494*1.06)^20= 422725.95
We need (1000000-4227725.95) $577274.05 to reache $1000000
A= (FV*i)/[(1+i)^n-1]
A= (577274.05*0.06)/[(1.06^20)-1]= 15692.9393
<u>X= $15,692.9393</u>
Answer:
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