Math 123 LA Online Retirement Fund_AC

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The University of Tennessee, Knoxville *

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ARCH-211

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Finance

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Jan 9, 2024

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docx

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M123 LA Online Retirement Fund Directions: Use the TVM solver on the calculator, fill in the information that you typed in the calculator. Enter your work/answers in the color boxes, do not delete the color boxes. Round your final answers to 2 decimal places. Alexa starts a retirement fund 10 years before retirement and pays $100 per month into the annuity for 10 years with an interest rate of 6% per year interest compounded monthly. Holly starts a retirement fund 20 years before retirement. He pays $50 per month into the annuity for 20 years with an interest rate of 6% per year interest compounded monthly. Laura starts a retirement fund 30 years before retirement. He pays $25 per month into the annuity for 30 years with an interest rate of 6% per year interest compounded monthly. 1. Find the value of their annuities at the time of retirement. Work Here (Keyboard only): Alexa Holly Laura N= 120 N= 240 N= 360 I%= 6% I%= 6% I%= 6% PV = $0 PV= $0 PV= $0 PMT = -$100 PMT= -$50 PMT= -$25 FV= ? FV= ? FV= ? P/Y= 12 P/Y= 12 P/Y= 12 C/Y= 12 C/Y= 12 C/Y= 12 PMT: (End/Begin) End PMT: (End/Begi n) End PMT: (End/Begin ) End Calculator Display 16387.93468 Calculator Display 23102.04476 Calculator Display 25112.87606 Final Answer $16387.93 Final Answer $23102.04 Final Answer $25112.88 2. Find the total investment for Alex, Bob, and Carl. 1
Alexa’s Total Investment Work & Answer (No images of written work): 10 × 12 = 120 120 × 100 = 12,000 $ 12,000 Holly’s Total Investment Work & Answer (No images of written work): 20 × 12 = 240 240 × 50 = 12,000 $ 12,000 Laura’s Total Investment Work & Answer (No images of written work): 30 × 12 = 360 360 × 25 = 9000 $ 9,000 3. Find the amount of interest earned by Alex, Holly and Laura. Alexa’s Interest Earned- Work & Answer (No images of written work): 12,000 16,387.93468 = 4387.93468 $ 4,387.93 Holly’s Interest Earned- Work & Answer (No images of written work): 12,000 23,102.04476 = 11102.04476 $ 11,102.04 Laura’s Interest Earned- Work & Answer (No images of written work): 9,000 25,112.87606 = 16112.87606 $ 16,112.88 4. Which of the three investment strategies would you recommend and why? Answer Here (Keyboard only): I would recommend Laura’s because she had the least amount of money invested, but her interest was much higher than the other two investment strategies. This shows us that less money invested over a longer period of time is much better than more money invested over a shorter period of time with the same interest rate. 2
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