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Hi

I have a sum invested. Say 1000 dollars.


This sum will rise in value for 10 years with 10% per year. 1000*1.1^10. but I also want to add 100 dollars per year for 10 years and that amount will also rise in value by 10% per year.

Can someone plz help me with a complete formula for this? Thank you.

 Jan 25, 2015

Best Answer 

 #1
avatar+118703 
+5

This sum will rise in value for 10 years with 10% per year. 1000*1.1^10. but I also want to add 100 dollars per year for 10 years and that amount will also rise in value by 10% per year.

Can someone plz help me with a complete formula for this? Thank you.

 

Well if the 100 is put in at the beginning of each year for 10 years

The the first 100 will grow to 100*1.1^10

The the first 100 will grow to 100*1.1^9

 

The the last 100 will grow to 100*1.1^1

The addition will be

1001.11+1001.12+.....1001.110=100(1.1+1.12+......+1.110)$ThisisaGPa=1001.1,r=1.1$sum=a(rn1)r1sum=1001.1(1.1101)1.11sum=1001.1(1.1101)0.1

 

So total after 10 years (all deposits are made at the beginning of the relevant year)

Grand Total = 10001.110+1001.1(1.1101)0.1

 Jan 26, 2015
 #1
avatar+118703 
+5
Best Answer

This sum will rise in value for 10 years with 10% per year. 1000*1.1^10. but I also want to add 100 dollars per year for 10 years and that amount will also rise in value by 10% per year.

Can someone plz help me with a complete formula for this? Thank you.

 

Well if the 100 is put in at the beginning of each year for 10 years

The the first 100 will grow to 100*1.1^10

The the first 100 will grow to 100*1.1^9

 

The the last 100 will grow to 100*1.1^1

The addition will be

1001.11+1001.12+.....1001.110=100(1.1+1.12+......+1.110)$ThisisaGPa=1001.1,r=1.1$sum=a(rn1)r1sum=1001.1(1.1101)1.11sum=1001.1(1.1101)0.1

 

So total after 10 years (all deposits are made at the beginning of the relevant year)

Grand Total = 10001.110+1001.1(1.1101)0.1

Melody Jan 26, 2015

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