Understanding Loans vs Savings: A Car Purchase Analysis

MATH 108X - Savings & Loans Project (Vehicle #1 #2 #3 Complete the "Loan Side" of this worksheet. #4 Complete the "Savings Side" of this worksheet. #6 Project Goal : To see how interest works against you when you take out a Loan and how it works for you when you Save. Select a car to "consider for purchase." Enter the requested information about the vehicle (see Column M). Use your own bank, or a typical value of what banks usually offer for savings account interest rates and loan terms and rates. Enter the requested information about the bank rates (see Column M). #5A, B Complete the summary cells on both the "Loan Side" and the "Savings Side" of this worksheet. Discuss this project with a friend or family member. Show them the car you are considering for purchase. Explain how much you would end up paying if you (1) took out the loan and (2) if you saved for it first. Explain which option you think is better for you and why. Talk about the consequences of missing one month of payments under each option. Summarize your discussion with your friend or family member below. Be sure to write about ALL four points below. Summarize your discussion with your friend or family member here... be sure to write about all four points listed below.

sure to write about all four points listed below. 1. Explain which option (saving first or taking out the loan and buying now that you think is better for you and why. Type your answer here... We both wouldnt have done it. There was to much money wasted and overall to much money to spend on a vehicle in general. 2. Summarize your discussion with your friend or family member, includin their insights on your project. Type your answer here... I had a tough time with this project it had me really frustrated by the end 3. Describe any lessons you have learned in understanding debt and savin plans. Type your answer here... I dont have a lot of lessons learned from this 4. How might you apply or teach others about these ideas in your future? Type your answer here... Just remember that paying something off can effect you like crazy and yo will end up spending so much more than what you originally agreed on

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Option) #3 Loan Side Vehicle Sale Price Sales Tax Down Payment Loan Amount #5A APR Loan Term (months) You Paid $ 80,444.70 Monthly Payment Car Cost $ 74,916.56 Total Payments Wasted Money $ 5,528.14 Total Interest Loan Amortization Schedule Payment to Bank = $1,007.41 Month Beginning Balance To Interest To Principal 1 $ 54,916.56 $ 175.73 $831.68 2 $ 54,084.88 $ 173.07 $834.34 3 $ 53,250.54 $ 170.40 $837.01 4 $ 52,413.53 $ 167.72 $839.69 5 $ 51,573.84 $ 165.04 $842.38 Hint 6 $ 50,731.47 $ 162.34 $845.07 7 $ 49,886.40 $ 159.64 $847.78 8 $ 49,038.62 $ 156.92 $850.49 9 $ 48,188.13 $ 154.20 $853.21 10 $ 47,334.92 $ 151.47 $855.94 11 $ 46,478.98 $ 148.73 $858.68 12 $ 45,620.30 $ 145.98 $861.43 13 $ 44,758.88 $ 143.23 $864.18 14 $ 43,894.69 $ 140.46 $866.95 If yo you On this side you will compute the cost of taking out a loan to buy the car of your choice. Hover the mouse o

15 $ 43,027.75 $ 137.69 $869.72 16 $ 42,158.02 $ 134.91 $872.51 17 $ 41,285.52 $ 132.11 $875.30 18 $ 40,410.22 $ 129.31 $878.10 19 $ 39,532.12 $ 126.50 $880.91 20 $ 38,651.21 $ 123.68 $883.73 21 $ 37,767.48 $ 120.86 $886.56 22 $ 36,880.93 $ 118.02 $889.39 23 $ 35,991.54 $ 115.17 $892.24 24 $ 35,099.30 $ 112.32 $895.09 25 $ 34,204.20 $ 109.45 $897.96 26 $ 33,306.24 $ 106.58 $900.83 27 $ 32,405.41 $ 103.70 $903.71 28 $ 31,501.70 $ 100.81 $906.61 29 $ 30,595.09 $ 97.90 $909.51 30 $ 29,685.58 $ 94.99 $912.42 31 $ 28,773.17 $ 92.07 $915.34 32 $ 27,857.83 $ 89.15 $918.27 33 $ 26,939.56 $ 86.21 $921.21 34 $ 26,018.36 $ 83.26 $924.15 35 $ 25,094.20 $ 80.30 $927.11 36 $ 24,167.09 $ 77.33 $930.08 37 $ 23,237.02 $ 74.36 $933.05 38 $ 22,303.96 $ 71.37 $936.04 39 $ 21,367.93 $ 68.38 $939.03 40 $ 20,428.89 $ 65.37 $942.04 41 $ 19,486.85 $ 62.36 $945.05 42 $ 18,541.80 $ 59.33 $948.08 43 $ 17,593.72 $ 56.30 $951.11 44 $ 16,642.61 $ 53.26 $954.16 45 $ 15,688.45 $ 50.20 $957.21 46 $ 14,731.24 $ 47.14 $960.27 47 $ 13,770.97 $ 44.07 $963.34 48 $ 12,807.63 $ 40.98 $966.43 49 $ 11,841.20 $ 37.89 $969.52 50 $ 10,871.68 $ 34.79 $972.62 51 $ 9,899.06 $ 31.68 $975.73 52 $ 8,923.32 $ 28.55 $978.86 53 $ 7,944.47 $ 25.42 $981.99 54 $ 6,962.48 $ 22.28 $985.13 55 $ 5,977.35 $ 19.13 $988.28 56 $ 4,989.06 $ 15.96 $991.45 57 $ 3,997.61 $ 12.79 $994.62 w) ng ngs ? ou

58 $ 3,003.00 $ 9.61 $997.80 59 $ 2,005.19 $ 6.42 $1,001.00 60 $ 1,004.20 $ 3.21 $1,004.20

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#1 Enter your Vehicle Information here. Make: Dodge Model: Ram 2500 $ 70,676.00 Year: 2024 Mileage: 15 $ 4,240.56 $ 20,000.00 $ 54,916.56 3.84% 60 $1,007.41 $ 60,444.70 $ 5,528.14 Savings Ending Balance Month $ 54,084.88 #2 1 $ 53,250.54 2 $ 52,413.53 Loan Details 3 $ 51,573.84 4 $ 50,731.47 Loan Term (years): 5 5 $ 49,886.40 Loan Interest Rate: 3.84% 6 $ 49,038.62 7 $ 48,188.13 8 $ 47,334.92 Savings Account Details 9 $ 46,478.98 10 $ 45,620.30 Savings Interest Rate: 1.20% 11 $ 44,758.88 12 $ 43,894.69 13 $ 43,027.75 Typical Loan Rates and Terms 14 ou don't have a vehicle in mind already, u can use one of these links to find one: over the triangles for help.

$ 42,158.02 New Car Used Car 15 $ 41,285.52 3-Year Loan 3.15% 3-Year Loan 2.89% 16 $ 40,410.22 4-Year Loan 3.49% 4-Year Loan 3.05% 17 $ 39,532.12 5-Year Loan 3.84% 5-Year Loan 3.52% 18 $ 38,651.21 6-Year Loan 4.28% 6-Year Loan 3.68% 19 $ 37,767.48 20 $ 36,880.93 21 $ 35,991.54 Typical Checking and Savings Account Rates 22 $ 35,099.30 Checking 0.1% Savings 1.2% 23 $ 34,204.20 24 $ 33,306.24 25 $ 32,405.41 26 $ 31,501.70 27 $ 30,595.09 28 $ 29,685.58 29 $ 28,773.17 30 $ 27,857.83 31 $ 26,939.56 32 $ 26,018.36 33 $ 25,094.20 34 $ 24,167.09 35 $ 23,237.02 36 $ 22,303.96 37 $ 21,367.93 38 $ 20,428.89 39 $ 19,486.85 40 $ 18,541.80 41 $ 17,593.72 42 $ 16,642.61 43 $ 15,688.45 44 $ 14,731.24 45 $ 13,770.97 46 $ 12,807.63 47 $ 11,841.20 48 $ 10,871.68 49 $ 9,899.06 50 $ 8,923.32 51 $ 7,944.47 52 $ 6,962.48 53 $ 5,977.35 54 $ 4,989.06 55 $ 3,997.61 56 $ 3,003.00 57

$ 2,005.19 58 $ 1,004.20 59 $ 0.00 60

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#4 Savings Side $ 70,676.00 Vehicle Sale Price $ 4,240.56 Sales Tax $ 74,916.56 Purchase Amount $ 20,000.00 Previous Saved 1.20% APR 60 $868.55 Monthly Payment $ 72,112.98 You Paid $ 52,112.98 Total Payments $ 74,916.56 Car Cost $ 2,803.58 Total Interest $ 2,803.58 Earned Money s Amortization Schedule Payment to Savings= $868.55 Beginning Balance Interest Earned Payment Ending Balance $ 20,000.00 2000.00% $868.55 $ 20,888.55 $ 20,888.55 2088.85% $868.55 $ 21,777.99 $ 21,777.99 2177.80% $868.55 $ 22,668.32 $ 22,668.32 2266.83% $868.55 $ 23,559.53 $ 23,559.53 2355.95% $868.55 $ 24,451.64 $ 24,451.64 2445.16% $868.55 $ 25,344.64 $ 25,344.64 2534.46% $868.55 $ 26,238.54 $ 26,238.54 2623.85% $868.55 $ 27,133.33 $ 27,133.33 2713.33% $868.55 $ 28,029.01 $ 28,029.01 2802.90% $868.55 $ 28,925.59 $ 28,925.59 2892.56% $868.55 $ 29,823.06 $ 29,823.06 2982.31% $868.55 $ 30,721.44 $ 30,721.44 3072.14% $868.55 $ 31,620.71 $ 31,620.71 3162.07% $868.55 $ 32,520.88 On this side you will save first, then buy. Is the wait worth it? You decide. Savings Term (months) Hover the mouse over the triangles for help.

$ 32,520.88 3252.09% $868.55 $ 33,421.95 $ 33,421.95 3342.19% $868.55 $ 34,323.92 $ 34,323.92 3432.39% $868.55 $ 35,226.79 $ 35,226.79 3522.68% $868.55 $ 36,130.57 $ 36,130.57 3613.06% $868.55 $ 37,035.25 $ 37,035.25 3703.53% $868.55 $ 37,940.84 $ 37,940.84 3794.08% $868.55 $ 38,847.33 $ 38,847.33 3884.73% $868.55 $ 39,754.72 $ 39,754.72 3975.47% $868.55 $ 40,663.03 $ 40,663.03 4066.30% $868.55 $ 41,572.24 $ 41,572.24 4157.22% $868.55 $ 42,482.36 $ 42,482.36 4248.24% $868.55 $ 43,393.39 $ 43,393.39 4339.34% $868.55 $ 44,305.34 $ 44,305.34 4430.53% $868.55 $ 45,218.19 $ 45,218.19 4521.82% $868.55 $ 46,131.96 $ 46,131.96 4613.20% $868.55 $ 47,046.64 $ 47,046.64 4704.66% $868.55 $ 47,962.24 $ 47,962.24 4796.22% $868.55 $ 48,878.75 $ 48,878.75 4887.88% $868.55 $ 49,796.18 $ 49,796.18 4979.62% $868.55 $ 50,714.53 $ 50,714.53 5071.45% $868.55 $ 51,633.79 $ 51,633.79 5163.38% $868.55 $ 52,553.97 $ 52,553.97 5255.40% $868.55 $ 53,475.08 $ 53,475.08 5347.51% $868.55 $ 54,397.10 $ 54,397.10 5439.71% $868.55 $ 55,320.05 $ 55,320.05 5532.00% $868.55 $ 56,243.92 $ 56,243.92 5624.39% $868.55 $ 57,168.71 $ 57,168.71 5716.87% $868.55 $ 58,094.43 $ 58,094.43 5809.44% $868.55 $ 59,021.07 $ 59,021.07 5902.11% $868.55 $ 59,948.64 $ 59,948.64 5994.86% $868.55 $ 60,877.14 $ 60,877.14 6087.71% $868.55 $ 61,806.57 $ 61,806.57 6180.66% $868.55 $ 62,736.93 $ 62,736.93 6273.69% $868.55 $ 63,668.21 $ 63,668.21 6366.82% $868.55 $ 64,600.43 $ 64,600.43 6460.04% $868.55 $ 65,533.58 $ 65,533.58 6553.36% $868.55 $ 66,467.66 $ 66,467.66 6646.77% $868.55 $ 67,402.68 $ 67,402.68 6740.27% $868.55 $ 68,338.63 $ 68,338.63 6833.86% $868.55 $ 69,275.52 $ 69,275.52 6927.55% $868.55 $ 70,213.35 $ 70,213.35 7021.33% $868.55 $ 71,152.11 $ 71,152.11 7115.21% $868.55 $ 72,091.81

$ 72,091.81 7209.18% $868.55 $ 73,032.45 $ 73,032.45 7303.25% $868.55 $ 73,974.04 $ 73,974.04 7397.40% $868.55 $ 74,916.56

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#5B Hint

Winter 2024

1

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MATH 108X - Savings & Loans Project (Vehicl #1 #2 #3 Complete the "Loan Side" of this worksheet. #4 Complete the "Savings Side" of this worksheet. #6 Discuss this project with a friend or family member… Project Goal : To see how interest works against you when you take out a Loan and how it works for you when you Save. Select a car to "consider for purchase." Enter the requested information about the vehicle (see Column M). Find a bank on the internet that shows their interest rates for both auto loans and savings accounts. Enter the requested information about the bank rates (see Column M). #5A, B Complete the summary cells on both the "Loan Side" and the "Savings Side" of this worksheet.

0 le Option) Errors Remaining: 0 Number Correct: 511 Loan Side Vehicle Sale Price Sales Tax Down Payment Loan Amount #5A APR Loan Term (months) You Paid Correct Payment Car Cost Correct Total Payments Wasted Money Correct Total Interest Loan Amortization Schedule Payment = $1,007.41 Month Beginning Balance To Interest To Principal 1 Correct Correct Correct 2 Correct Correct Correct 3 Correct Correct Correct 4 Correct Correct Correct 5 Correct Correct Correct Hint 6 Correct Correct Correct 7 Correct Correct Correct 8 Correct Correct Correct 9 Correct Correct Correct 10 Correct Correct Correct 11 Correct Correct Correct 12 Correct Correct Correct 13 Correct Correct Correct 14 Correct Correct Correct

15 Correct Correct Correct 16 Correct Correct Correct 17 Correct Correct Correct 18 Correct Correct Correct 19 Correct Correct Correct 20 Correct Correct Correct 21 Correct Correct Correct 22 Correct Correct Correct 23 Correct Correct Correct 24 Correct Correct Correct 25 Correct Correct Correct 26 Correct Correct Correct 27 Correct Correct Correct 28 Correct Correct Correct 29 Correct Correct Correct 30 Correct Correct Correct 31 Correct Correct Correct 32 Correct Correct Correct 33 Correct Correct Correct 34 Correct Correct Correct 35 Correct Correct Correct 36 Correct Correct Correct 37 Correct Correct Correct 38 Correct Correct Correct 39 Correct Correct Correct 40 Correct Correct Correct 41 Correct Correct Correct 42 Correct Correct Correct 43 Correct Correct Correct 44 Correct Correct Correct 45 Correct Correct Correct 46 Correct Correct Correct 47 Correct Correct Correct 48 Correct Correct Correct 49 Correct Correct Correct 50 Correct Correct Correct 51 Correct Correct Correct 52 Correct Correct Correct 53 Correct Correct Correct 54 Correct Correct Correct 55 Correct Correct Correct 56 Correct Correct Correct 57 Correct Correct Correct

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58 Correct Correct Correct 59 Correct Correct Correct 60 Correct Correct Correct 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

#1 #3 Enter your Vehicle Information here. Make: Correct Model: Correct Correct Year: Correct Mileage: Correct Correct Correct Correct Correct Correct Correct Correct Correct Savings Ending Balance Month Correct #2 1 Correct 2 Correct Loan Details 3 Correct 4 Correct Loan Term (years): Correct 5 Correct Loan Interest Rate: Correct 6 Correct 7 Correct 8 Correct Savings Account Details 9 Correct 10 Correct Savings Interest Rate: Correct 11 Correct 12 Correct 13 Correct 14

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Correct 15 Correct 16 Correct 17 Correct 18 Correct 19 Correct 20 Correct 21 Correct 22 Correct 23 Correct 24 Correct 25 Correct 26 Correct 27 Correct 28 Correct 29 Correct 30 Correct 31 Correct 32 Correct 33 Correct 34 Correct 35 Correct 36 Correct 37 Correct 38 Correct 39 Correct 40 Correct 41 Correct 42 Correct 43 Correct 44 Correct 45 Correct 46 Correct 47 Correct 48 Correct 49 Correct 50 Correct 51 Correct 52 Correct 53 Correct 54 Correct 55 Correct 56 Correct 57

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Correct 58 Correct 59 Correct 60 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

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#4 Savings Side Correct Vehicle Sale Price Correct Sales Tax Correct Purchase Amount Correct Previous Saved Correct APR #5B Correct Correct Payment Correct You Paid Correct Total Payments Correct Car Cost Correct Total Interest Correct Earned Money s Amortization Schedule Beginning Balance Interest Earned Payment Ending Balance Correct Correct Correct Correct Correct Correct Correct Correct Correct Correct Correct Correct Correct Correct Correct Correct Correct Correct Correct Correct Correct Correct Correct Correct Hint Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Savings Term (months)

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Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508

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Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 Correct Correct Correct Correct Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508

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0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508 0 0 0 0 Err:508

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CarLoanCaseStudy (2)

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