Week 4 discussion post

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Bellevue University *

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Finance

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Jan 9, 2024

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3-6. Robert Williams is considering an off er to sell his medical practice, allowing him to retire five years early. He has been offered $500,000 for his practice and can invest this amount in an account earning 10% per year, compounded annually. The practice is expected to generate the following cash flows. Should Robert accept this offer and retire now? (Hint: Assume that the practice has a sale value of $0 at the end of five years.) End of Year Cash Flow 1 $150,000 2 150,000 3 125,000 4 125,000 5 100,000 a. Based solely on your calculations, should Robert accept this offer and retire now? To factor the future value we would use the equation FV = CF1 × (1+r) n−1 + CF2 × (1+r) n−2 +… + CFn . FV = $150,000 X (1+0.10)⁴ + 150,000 X (1+0.10) 3 + 125,000 X (1+0.10) 2 + 125,000 X (1+0.10) 1 + 100,000 FV = $219,615 + 199,650 + 151,250 + 137,500 + 100,000 FV = $808,015 If Robert chose to retire early instead of continuing to work for five additional years, he would have a FV = $500,000 (1+0.10) 5 FV = $805,255 Therefore, Robert would lose approximately $2,760 by selling his practice and investing the $500,000 in an account yielding 10% over five years. If money is the sole driver, the recommendation would be not to sell his practice. b. If Robert retires early then he will no longer have to work. What impact (if any) does this fact have on your answer to part (a)? Explain Not having to work for five additional years can be a crucial decision to make, considering the five additional years of work in this equation only yields $2,760 more than retiring early. Because of this minimal amount, the recommendation would be to retire to spend time with family, continue hobbies or take up new ones, travel, etc. Time spent in the office is lost time spent at home and doing other passions. 3-47. Determine the length of time required to double the value of an investment, given the following rates of return. a. 4% b. 10% c. 30% d. 100% This equation can be factored using what is known as the rule of 72. The rule of 72 is used to estimate how long it takes to double your investment (Kenton, 2023). It doesn’t give an exact number, but it does allow the individual wanting to factor this out a quick idea, then from there, they can use a calculator or excel formula to narrow down the time more accurately. The rule of 72 formula is (72/annual rate of return) a. 72/4 = 18 (approximately 18 years to double your investment) b. 72/10 = 7.2 (approximately 7.2 years to double your investment) c. 72/30 = 2.4 (approximately 2.4 years to double your investment) d. 72/100 = .72 (approximately .72 years or about 7 months to double your investment) Reference: Graham, J. R., Smart, S. B., Megginson, W. L. (2010). Financial Management and Strategy. Retrieved from https://platform.virdocs.com/read/1970351/136/#/4/4
Kenton, W. (2023), The Rule of 72: Definition, Usefulness, and How to Use It. Investopedia. https://www.investopedia.com/terms/r/ruleof72.asp
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