Time Value of Money Personal Finance Application
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300
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May 21, 2024
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Time Value of Money Personal Finance Application
Thomas Ransbury
FIN300
Part A: Debt
1.
If Sue has a balance of $18,000 on her credit card with an APR of 18% (monthly APR = 1.5%) and a minimum payment fo $500, it will take her approximately 53 months.
The formula used to determine this is where P= 18,000, r=.015 and M=500
2.
If Sue has been approved for a 6% loan for 48 months and has a maximum budget of $550 per month, she can spend $23,419 on the car.
The formula used to determine this is Where M = 550, r = .005 and n = 48
Part B: Savings
1.
If Sue would like to have $20,000 saved up in 5 years and earns an annual interest rate of 4.5%, she would need to make equal annual deposits of $3,655.56
The formula used to determine this is
Where FV = 20,000 r = .045 and n = 5 2.
To reach her goal of $50,000 from her original $24,000 inheritance in 10 years, she would need an annual interest rate of 10.84%
The formula used is r = (1/t)(A/P-1)
Where t = 10 A = 50,000 and P = 24,000
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Part C: 1.
The total annual amount of debt payments in the scenarios above is $12,600 ($1050 per month = $500 for CC Debt + $550 for car payment). The total annual amount of savings payments is $3,655.56 for the down payment plan.
2.
Sue should focus on paying down her high interest Credit Card before prioritizing savings because the interest accrued in this account would be $8,078.43 for the remainder of the loan at a $500 monthly contribution. The high interest eats into her ability to save money in her 4.5% savings account, and should be the initial focus for her in the beginning of her financial plan. Once the CC is paid down she will have an easier time saving money more rapidly. She may have the option to refinance this debt, which if that were the case, she could save more money while paying down the debt simultaneously depending on her new interest rate.
References
Zutter, C.J. & Smart S. (2022) Principles of Managerial Finance
16 ed.). Pearson. https://platform.virdocs.com/read/2227403/1/#/4/2
Hall, L. (2024, March 9). Should I save money or pay off debt first? CNET.
https://www.cnet.com/personal-finance/banking/savings/should-i-save-money-or-pay-off-
debt-first/
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