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George and Yujia currently insure their cars with separate companies, paying $620 and $640 a year

Accounting

George and Yujia currently insure their cars with separate companies, paying $620 and $640 a year. If they insured both cars with the same company, they would save 15 percent on the annual premiums.

 

What would be the future value of the annual savings over 10 years based on an annual interest rate of 8 percent? Use Exhibit 1-B. (Round time value factor to 3 decimal places and final answer to 2 decimal places. Do not round intermediate calculations. Omit the "$" sign in your response.)

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Given,

Time period (n)= 10 years

George car insure= 620

Yujia car insure= 640

Total = 620+ 640

= 1260

 

Saving on annual premium= 15%

Annual savings= 1260* 15%

= 189

Annual interest rate (r)= 8%

 

Total savings over 10 years= Annual saving* ((((1+ r)^ n)-1)/ r)

= 189* ((((1+ 8%)^ 10) -1)/ 8%)

= 189* 14.48656

= 2737.96