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232 Financial Tools PART 2 (1) River Banks savings account with an interest rate of 10.8% compounded monthly. (2) First Stat

Personal Finance Problem Time value Peter just got his drivers license, and he wants to buy a new sports car for $70,000. He
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Answer #1

1) River bank's savings account with an interest rate of 10.8% compounded monthly

The duration it will take to accumulate the money is calculated using the future value of investment equation

Future value of investment = Present value x (1 + interest rate)

, (2010 + 1) * 000€S = 000ʻOLS

1.00912n = 23.333

Taking natural log on both sides of the equation

12n ln 1.009 = ln 23.333

12n = In23.333 In 1.009

n = 29.30 years

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2) First state bank's savings account with an interest rate of 11.5% compounded annually

$70,000 = $3000 x (1 + 0.115) =

1.115n = 23.333

Taking natural log on both sides of the equation

n ln 1.115 = ln 23.333

n= In 23.333 In 1.115

n = 28.94 years

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3) Union bank's savings account with an interest rate of 9.3% compounded weekly

(9600 + 1) * 000€5 = 000ʻOLS

1.00178846252n = 23.333

Taking natural log on both sides of the equation

52n ln1.001788462 = ln 23.333

In 23.333 52n = In 1.001788462

n = 33.90 years

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