Module 2- Activity 4 - Regular Payments Savings Plan

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Northern Virginia Community College *

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154

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Statistics

Date

May 12, 2024

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xlsx

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3

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Line Number 4 Givens: Principal 545.00 Payment 43.00 APR 3.70% Compounds 12 Month Principal Interest Payment Total 0 545.00 1 545.00 1.68 43.00 589.68 2 589.68 1.82 43.00 634.50 3 634.50 1.96 43.00 679.45 4 679.45 2.09 43.00 724.55 5 724.55 2.23 43.00 769.78 6 769.78 2.37 43.00 815.16 7 815.16 2.51 43.00 860.67 8 860.67 2.65 43.00 906.32 9 906.32 2.79 43.00 952.12 10 952.12 2.94 43.00 998.05 11 998.05 3.08 43.00 1044.13 12 1044.13 3.22 43.00 1090.35 13 1090.35 3.36 43.00 1136.71 14 1136.71 3.50 43.00 1183.22 15 1183.22 3.65 43.00 1229.87 16 1229.87 3.79 43.00 1276.66 Methods 17 1276.66 3.94 43.00 1323.60 18 1323.60 4.08 43.00 1370.68 Month #18 Iterations (Steps) 19 1370.68 4.23 43.00 1417.90 "=C27+D27+E27 20 1417.90 4.37 43.00 1465.27 21 1465.27 4.52 43.00 1512.79 Month #18 Formula (Regular Payments) 22 1512.79 4.66 43.00 1560.46 1370.68 23 1560.46 4.81 43.00 1608.27 "=(D3*(1+D5/D6)^18)+D4*((1+D5/D6)^(18)-1)/(D5/D6) 24 1608.27 4.96 43.00 1656.23 25 1656.23 5.11 43.00 1704.33 Month #18 Excel Function 26 1704.33 5.26 43.00 1752.59 1370.68 27 1752.59 5.40 43.00 1800.99 "=-FV(D5/D6,18,D4,D3) 28 1800.99 5.55 43.00 1849.55 29 1849.55 5.70 43.00 1898.25 30 1898.25 5.85 43.00 1947.10 31 1947.10 6.00 43.00 1996.10 32 1996.10 6.15 43.00 2045.26 33 2045.26 6.31 43.00 2094.57 34 2094.57 6.46 43.00 2144.02 35 2144.02 6.61 43.00 2193.63 36 2193.63 6.76 43.00 2243.40 Total: 150.40 1548.00 Reflection 1: What would be another way to calculate total interest rather than merely using ‘=sum(‘? Another way to calculate total interest in Excel is by using the SUMPRODUCT function. This function multiplies corresponding items in the arrays and then returns the sum of those products. Here's how you can use it to calculate total interest: Suppose you have a column for principal amounts (B2:B37) and another column for interest amounts (C2:C37). You can use the SUMPRODUCT function like this: =SUMPRODUCT(B2:B37, C2:C37) This formula will multiply each principal amount by its corresponding interest amount, and then sum up the products to give you the total interest. Alternatively, you can use array formulas with the SUM function to achieve the same result: =SUM(B2:B37 * C2:C37) Both of these formulas will calculate the total interest without using the SUM function directly. Reflection 2: When was the original principal invested and when was the payment invested (end or beginning of the period)? In the finance world, what type of investment is this called?
beginning of the period)? In the finance world, what type of investment is this called? A savings plan in which payments are made at the end of each month is called an ordinary annuity. A paln in which payments are made at the biginning of each period is called an annuity due. In both cases, the accumulated amount, A, at some future date is called the future value of the annuity. Reflection 3: What are some of the pros and cons to each of the three methods you have used? Iteration Steps: Pros: Straightforward approach, especially for those familiar with manual calculations. Offers a clear step-by-step process for calculating compound interest. Cons: Time-consuming, especially for a large number of iterations. Prone to manual errors, increasing the risk of inaccuracies in calculations. Formula: Pros: Provides a concise and efficient way to calculate compound interest. Easily scalable for different scenarios by adjusting input parameters. Cons: Requires knowledge of the compound interest formula, which may be complex for some users. Potential for errors if the formula is input incorrectly or parameters are not properly adjusted. Excel Function: Pros: Offers automation and efficiency, particularly for repetitive calculations. Provides built-in error-checking features, reducing the risk of calculation mistakes. Cons: Requires familiarity with Excel functions, which may be a learning curve for some users. Reliance on software, meaning users may not understand the underlying calculation process as thoroughly compared to manual methods. Overall, the choice of method depends on individual preferences, familiarity with calculation techniques, and the specific requirements of the task at hand. Reflection 4: Which of the three methods is your favorite way to calculate the balance and why? My favorite method to calculate compound interest is using the Excel function. This method offers automation and efficiency, reducing the potential for manual errors and streamlining the calculation process. Additionally, Excel provides built-in error-checking features, enhancing the accuracy of the results. While it may require some initial familiarity with Excel functions, once mastered, it offers a convenient and reliable way to perform compound interest calculations efficiently. Reflection 5: What impressions or insights have you gained from this exercise? Through the exercise of calculating compound interest using three different methods (Iteration steps, formula, and Excel function), several impressions and insights have emerged: Efficiency vs. Accuracy: While the Excel function offers efficiency and automation, the iteration steps and formula methods require more manual effort but may offer greater precision, especially when verifying calculations. Understanding of Concepts: Performing the calculations manually through iteration steps and formula allows for a deeper understanding of the underlying concepts of compound interest. This manual approach enhances comprehension and reinforces mathematical principles. Utility of Technology: The Excel function demonstrates the utility of technology in simplifying complex calculations and improving productivity. It showcases how software tools can streamline repetitive tasks and reduce the potential for errors. Flexibility and Adaptability: Each method has its strengths and weaknesses, highlighting the importance of selecting the most appropriate approach based on the specific requirements of the task and the preferences of the user. Overall, this exercise emphasizes the importance of having multiple methods available for calculating compound interest, as well as the value of understanding the underlying principles while leveraging technological tools for efficiency and accuracy.
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