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In: Finance

a. are tax-deductible, i.e., reduce the taxable income of the corporation b. to an individual become...

a. are tax-deductible, i.e., reduce the taxable income of the corporation b. to an individual become non-taxable income to that individual c. to another corporation receive preferential tax treatment (70% tax exclusion) d. to an individual become taxable income of that individual and receive 30% tax exclusion

You are comparing two annuities which offer monthly payments of $700 for five years and pay 0.6 percent interest per month. Annuity A will pay you on the last day of each month (ordinary annuity) while annuity B will pay you on the first day of each month (annuity due). Which one of the following statements is correct concerning these two annuities? a. Annuity B has a higher future value than annuity A b. Both annuities have the same future value as of ten years from today c. Annuity A has a higher future value than annuity B d. Both annuities will have zero value at the end of five years

Solutions

Expert Solution

Question summary : Future values of Ordinary annuity(Annuity A) and Annuity due ( Annuity B)

Answer : Option a : Annuity B has higher future value than Annuity A

Ordinary annuity pays on last day of a month and Annuity due pays on first day of a month'

Formula for calculating future values are :

FV of Ordinary Annuity​= C × [ i (1+i) n−1​]

where:C=cash flow per period i=interest rate n=number of payments​

FV of Annuity Due​​ =C ×   [ i(1+i)n−1​] × (1+i)​

The formula itself suggest that future value of Annuity Due will be higher as it is being further multiplied with 1 + i


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