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McClary Tires plans to save $20,000, $25,000, $27,500, and $30,000 at the end of each year for Years 1 to 4, respectively. If it earns 3.3 percent on its savings, how much will the firm have saved at the end of Year 4

Respuesta :

facundobuzzetti

Answer:

Total= $107,130.79

Explanation:

Giving the following information:

McClary Tires plans to save $20,000, $25,000, $27,500, and $30,000 at the end of each year for Years 1 to 4, respectively.

The discount rate is 3.3%.

To calculate the future value, we need to use the following formula for each cash flow:

FV= PV*(1+i)^n

Cf1= 20,000*1.033^3= 22,046.06

Cf2= 25,000*1.033^2= 26,677.23

Cf3= 27,500*1.033= 28,407.5

Cf4= 30,000

Total= $107,130.79

fichoh

Answer: $107,130.78

Explanation:

Given the following ;

Cash flow(CF)

CF1 $20,000

CF2 $25,000

CF3 $27,500

CF4 $30,000

Discount rate(r) = 3.3% = 0.033

Taking the cash for each year and finding the future value using the formula

FV = CF × (1 + r)^n

WHERE

FV = future value

CF = Cashflow

r = interest rate = 0.033 for all 4 years

t = Time (0 to 3)

FV = (CF1×(1+r)^3) + (CF2×(1+r)^2) + (CF2×(1+r)^1) + CF3

FV = $20,000×(1.033)^3 + $25,000×(1.033)^2 + $27,500×1.033 + $30,000

FV = $22046.05874 + $26677.225 + $28407. 50 + $30000 = $107,130.78