Question

Tough Concrete, a construction company, will purchase a new kind of digging machine in 3 years. They anticipate that the new digging machine will cost them $3,700. Since they would like to have cash ready for payment, how much should they deposit semi-annually in an account that will earn 3% per year compounded semi-annually to have the money available in 3 years?

Answer 1

Annual deposit= $593.94

Step-by-step explanation:

Giving the following information:

They anticipate that the new digging machine will cost them $3,700. Since they would like to have cash ready for payment, how much should they deposit semi-annually in an account that will earn 3% per year compounded semi-annually to have the money available in 3 years?

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (3,700*0.015)/{(1.015^6)-1}= 593.94