Question

In: Finance

fill in the missing future values in the following table for an ordinary annuity. Number of...

fill in the missing future values in the following table for an ordinary annuity.

Number of

Payments or

Years

Annual

Interest Rate

Present Value

Annuity

Future Value

7

8​%

0

   

​$210.59

​?

17

17​%

0

​$1368.71

​?

25

3.5%

    0

​$658.68

​?

340

0.9​%

0

​$496.92

​?

Number of

Payments or

Years

Annual

Interest Rate

Present Value

Annuity

Future Value

7

88%

0

   

​$210.59

​$nothing

​(Round to the nearest​ cent.)

Solutions

Expert Solution

The question is solved with the help of a financial calculator.

1.Time= 7 years

Yield to maturity= 8%

Annual coupon payment= $210.89

Present value =$0

The future value is calculated by entering the below in a financial calculator:

N= 7; I/Y= 8; PMT= 210.89; PV= 0

Press CPT and FV to calculate the future value

The future value is $1,881.73.

2.Time= 17 years

Yield to maturity= 17%

Annual coupon payment= $1,368.71

Present value =$0

The future value is calculated by entering the below in a financial calculator:

N= 17; I/Y= 17; PMT= 1,368.71; PV= 0

Press CPT and FV to calculate the future value

The future value is $108,099.55.

3. Time= 25 years

Yield to maturity= 3.5%

Annual coupon payment= $658.68

Present value =$0

The future value is calculated by entering the below in a financial calculator:

N= 25; I/Y= 3.5; PMT= 658.68; PV= 0

Press CPT and FV to calculate the future value

The future value is $25,655.49.

4.Time= 340 years

Yield to maturity= 0.9%

Annual coupon payment= $496.92

Present value =$0

The future value is calculated by entering the below in a financial calculator:

N= 340; I/Y= 0.9; PMT= 496.92; PV= 0

Press CPT and FV to calculate the future value

The future value is $1,106,343.56

5. Time= 7 years

Yield to maturity= 88%

Annual coupon payment= $210.59

Present value =$0

The future value is calculated by entering the below in a financial calculator:

N= 7; I/Y= 88; PMT= 210.59; PV= 0

Press CPT and FV to calculate the future value

The future value is $19,624.39.


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