> An individual wishes to deposit an amount of money now and 100$ every 6 months so that at the end of five year?

An individual wishes to deposit an amount of money now and 100$ every 6 months so that at the end of five year?

Posted at: 2014-12-05 
annual interest rate per period (6 months) is r=(1+.04/2)=1.02.

want A (1.02)^10 + 100[(1.02)^11 + (1.02)^10 ... + (1.02) + 1]=1500.

1.21899 A + 100[(1.02)^12 -1]/[(1.02)-1] = 1500.

1.21899 A = 1500 - 1341.21=158.79.

A=130.26.

An individual wishes to deposit an amount of money now and 100$ every 6 months so that at the end of five years 1500$ will have been accumulated. With interest rate at 4% every year, compounded semi-annually, how much should be deposited now?