Question

In: Economics

A sum of $10,000 is gaining interest at 8% a year compounded monthly. What is the...

A sum of $10,000 is gaining interest at 8% a year compounded monthly. What is the future worth if you withdrew $25 a month for one year?

Solutions

Expert Solution

Period (Month wise) Principal Amount Interest rate Interest Amount Withdrawl Final Amount
1 10000 0.0067                  66.667 25 10,041.67
2 10,041.67 0.0067                  66.944 25 10,083.61
3 10,083.61 0.0067                  67.224 25 10,125.84
4 10,125.84 0.0067                  67.506 25 10,168.34
5 10,168.34 0.0067                  67.789 25 10,211.13
6 10,211.13 0.0067                  68.074 25 10,254.20
7 10,254.20 0.0067                  68.361 25 10,297.57
8 10,297.57 0.0067                  68.650 25 10,341.22
9 10,341.22 0.0067                  68.941 25 10,385.16
10 10,385.16 0.0067                  69.234 25 10,429.39
11 10,429.39 0.0067                  69.529 25 10,473.92
12 10,473.92 0.0067                  69.826 25 10,518.75

All amounts are in dollars.

Final Amount after 1 year is $10518.75.

Interest Rate = Yearly Interest rate/ Number of months
Interest Amount = Interest Rate* Principal Amount
Final Amount = Principal Amount + Interest Amount - Withdrawl

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