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If you deposit ​$2,900 today into an account earning an annual rate of return of 11...

If you deposit ​$2,900 today into an account earning an annual rate of return of 11 percent, what would your account be worth in 35 years​ (assuming no further​ deposits)? In 40 ​years?

a.  If you deposit ​$2,900 today into an account earning an annual rate of return of 11 ​percent, what would your account be worth in 35 ​years? ​$ ___​(Round to the nearest​ cent.)

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Answer #1

1.Information provided:

Present value= $2,900

Time= 35 years

Interest rate= 11%

The question is concerning finding the future value of an annuity due. Annuity due refers to annuity that occurs at the beginning of a period.

This can be solved using a financial calculator by inputting the below into the calculator:

The financial calculator is set in the end mode.  Annuity due is calculated by setting the calculator to the beginning mode (BGN). To do this, press 2ndBGN 2ndSET on the Texas BA II Plus calculator.

Enter the below in a financial calculator to compute the future value of ordinary annuity:

PMT= -2,900

N= 35

I/Y= 11

Press the CPT key and FV to compute the future value of ordinary annuity.

The value obtained is 111,867.07.

Therefore, the account will be worth $111,867.07 in 35 years.

2.Information provided:

Present value= $2,900

Time= 40 years

Interest rate= 11%

The question is concerning finding the future value of an annuity due. Annuity due refers to annuity that occurs at the beginning of a period.

This can be solved using a financial calculator by inputting the below into the calculator:

The financial calculator is set in the end mode.  Annuity due is calculated by setting the calculator to the beginning mode (BGN). To do this, press 2ndBGN 2ndSET on the Texas BA II Plus calculator.

Enter the below in a financial calculator to compute the future value of ordinary annuity:

PMT= -2,900

N= 40

I/Y= 11

Press the CPT key and FV to compute the future value of ordinary annuity.

The value obtained is 188,502.52.

Therefore, the account will be worth $188,502.52 in 40 years.

In case of any query, kindly comment on the solution.

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