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Hello students, here is a question.
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Today is your 35th birthday and it occurs you that your current retirement saving may be insufficient to maintain a lifestyle in which you have to become an accustomer and value the retirement account today on 35th birthday i .e.
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$100 ,000.
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You plan to retire on 65th birthday and leave until before 83rd birthday and your goal is to stream to the cash of a payment of 66th through 82nd birthday that provides $150 ,000 of consumption annual in terms of today purchasing power.
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Your retirement amount which has been earned as 10 % and inflation rate as 2%.
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We are supposed to calculate the deposit withdrawals and the compound interest once in a year and the nominal value of a payment of 66th birthday.
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So, let us solve this.
00:58
So, to figure out how much the cash payment of the 66th birthday will be worth, we must figure out that investment would be future of 56th birthday and use the compound interest formula to calculate this.
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So, the formula will be fv is equal to p into 1 plus r to the power n.
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So, where p is the current value of your retirement account that is $100 ,000, r is the effective annual rate which is 10 % and n is 20%.
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So, the values are $100 ,000 into 1 plus 0 .10 to the power 20.
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So, answer will be $576 ,638 .27...