6. You have saved up some money for your retirement. You end up living 20 years after your retirement. The first year you receive $50,000 from your retirement account and then each following year you receive $2000 more due of Cost-of-Living adjustment. Meaning, in year 1 you receive $50,000, year 2 $52,000, year3 $54000, etc. How much money had you saved for retirement.

Corporate Fin Focused Approach
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ISBN:9781285660516
Author:EHRHARDT
Publisher:EHRHARDT
Chapter4: Time Value Of Money
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6. You have saved up some money for your retirement. You end up living 20 years after your retirement. The first year you receive $50,000 from your retirement account and then each following year you receive $2000 more due of Cost-of-Living adjustment. Meaning, in year 1 you receive $50,000, year 2 $52,000, year3 $54000, etc. How much money had you saved for retirement.

Do not use excel, please work the problem out. Also include cashflow diagram if possible. 

Expert Solution
Step 1

Using arithmetic progression

a, a+d, a+2d, a+3d....Here- 50000, 52000, 54000....

This implies d=2000

and n=20 years

The nth term, Tn=a+(n-1)dT20=50000+20-1×2000=50000+38000=88000

 

 

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