Question

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​(Compound interest with​ non-annual periods)  Calculate the amount of money that will be in each of...

(Compound interest with non-annual periods)  Calculate the amount of money that will be in each of the following accounts at the end of the given deposit​ period:

Account Holder

Amount Deposited

Annual Interest Rate

Compounding Periods Per Year (M)

Compounding Periods (Years)

Ted Logan

$1,100

12%

4

6

Vern Coles

95,000

12

6

3

Teena Elliott

9,000

12

1

5

Wade Robinson

120,000

8

2

4

Eunice Chang

28,000

18

3

5

Kelli Craven

16,000

10

12

5

PLEASE round to the nearest cent. Thank you.

  1. The amount of money in Ted Logan’s account at the end of 6 years will be $__
  2. The amount of money in Vern Coles account at the end of 3 years will be $__
  3. The amount of money in Teena Elliott’s account at the end of 5 years will be $__
  4. The amount of money in Wade Robinson’s account at the end of 4 years will be $__
  5. The amount of money in Eunice Chang’s account at the end of 5 years will be $__
  6. The amount of money in Kelli Craven’s account at the end of 5 years will be $__

Solutions

Expert Solution

Account Holder Amount Deposited Annual Interest Rate Compounding Periods Per Year (M) Compounding Periods (Years) Future value calculation Future value
Ted Logan 1,100 12% 4 6 =FV(12%/4,4*6,0,-1100,0) 2,236.07
Vern Coles 95,000 12% 6 3 =FV(12%/6,6*3,0,-95000,0) 1,35,683.39
Teena Elliott 9,000 12% 1 5 =FV(12%,5,0,-9000,0) 15,861.08
Wade Robinson 1,20,000 8% 2 4 =FV(8%/2,2*4,0,-120000,0) 1,64,228.29
Eunice Chang 28,000 18% 3 5 =FV(18%/3,3*5,0,-28000,0) 67,103.63
Kelli Craven 16,000 10% 12 5 =FV(10%/12,12*5,0,-16000) 26,324.94
a. The amount of money in Ted Logan’s account at the end of 6 years will be $2,236.07
b. The amount of money in Vern Coles account at the end of 3 years will be $135,683.39
c. The amount of money in Teena Elliott’s account at the end of 5 years will be $15,861.08
d. The amount of money in Wade Robinson’s account at the end of 4 years will be $164,228.29
e. The amount of money in Eunice Chang’s account at the end of 5 years will be $67,103.63
f. The amount of money in Kelli Craven’s account at the end of 5 years will be $26,324.94

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