Stage 2 Mathematical Applications
Interest minimisation on a Loan
Occupation
Josh Emma
Occupation Social Worker Secondary Teacher
Wages $1297 per week
1297 X 52 = $67444 per year $1424 per week
1424 X 52 = $74048 per year
Tax amount $633,001 – $95,000 per year = $14,760 + $0.42 for each $1.00 over $63,000
67444 – 63000 = 4444
(4444 X .42) + 14760 = $16626.48 tax $633,001 – $95,000 per year = $14,760 + $0.42 for each $1.00 over $63,000
74048 – 63000 = 11048
(11048 X .42) + 14760 = $19400.16 tax
Salary after tax 67444 – 16626.48 = $50817.52 after tax 74048 – 19400.16 = $54647.84 after tax
Weekly budget of expenses for both Josh and Emma
Expenses Price
Housing $360
Food and drink $207
Fuel and power $26
Clothing and footwear $52
Medical and health expenses $58
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(n.d.). 14/11-18 Pennington Terrace North Adelaide SA 5006. Retrieved June 11, 2015, from http://www.realestate.com.au/property-house-sa-northadelaide-119717235
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Secondary Teacher - My Future. (2013). Retrieved May 29, 2015, from http://myfuture.edu.au/explore-careers/browse-occupations/details?anzsco=241411D
Social Worker - My Future. (2013). Retrieved May 29, 2015, from
Angus Cartwright III, an investment advisor, was asked to provide investment advisory services for two clients, John DeRight and Judy DeRight. They both wanted to purchase a property that (1) is large enough to attract the interest of a professional real estate management company and (2) has a minimum leveraged return on their investments of 12% after
For option 2 I calculated the savings I receive from reduced payment. For that I used difference between the mortgage payments as annuity payment for 180 months for Question A and for 60 months for Question B
1. A condo in Orange Beach, Alabama, listed for $1.4 million with 20% down and financing at 5% for 30 years. What would the monthly payment be?
| if maritalStatus = ‘M’ taxRate = MARRIED_RATEif maritalStatus = ‘S’ taxRate = SINGLE_RATEif maritalStatus = ‘D’ taxRate = DIVORCED_RATEif maritalStatus = ‘W’ taxRate = WIDOWED_RATEIf hoursWorked <= 40 grossPay = hoursWorked * hourlyRateElse regularPay = (40 * hourlyRate) overtimePay = ((hoursWorked-40) * (hourlyRate * 1.5)) grossPay = regularPay + overtimePaytaxAmount = grossPay * taxRatenetPay = grossPay - taxAmount
21. Earl Miller plans to buy a boat for $19,500 with an interest charge of $2,500. Earl figures he can afford a monthly payment of $650. If Earl has to pay 36 equal monthly payments, by how much can he afford the boat per month?
II.|Connie has an investment portfolio in excess of $450,000. She pays Chris $350 to do an analysis of her investments and make recommendations on restructuring the portfolio.|
Jim and Laura Buyer visit the local car dealership because they are interested in buying a new car. The car they currently have is aging and is starting to have mechanical problems. Jim and Laura would share the new car, and use it to go back and forth to work and school. Before going to the dealership, Jim and Laura decide that they can only afford $400.00 a month in car payments.
Compensating balance = 10% → 0.10 = loan ∙ 0.10 = $11,111,111 ∙ 0.10 = $1,111,111
In question four, Janet was asked to solve a question that deals with annuity payments, specifically, ordinary annuities. It starts by asking of how much you will make if you add $2,000 every year and it is compounded by 10% interest every year. These, for the most part, are future value problems. The first one comes out to be a future value of $12,210.20, which does not satisfy the need for $20,000. The next part asks what the value would be if the interest was compounded semiannually. You have to do an equation in order to find out what the effective annual interest rate. Through this equation you come out with a value of 10.25% and after the calculator calculations you come out with a future value of $12,271.11, also not meeting the demand for that first year of college. The next part asks what payment will you need in order to get to that $20,000 number and the present value comes to be $3,275.95. Next, the case asks what original payment you would need in order
8. If you want to purchase a home. You have $15,000 to put down. All you can afford is $1,500.00 per month and you do not want to finance for more than 15 years @ 6% interest, (your taxes will be $85.00 per month and insurance $200.00 a month), what is the amount you can pay for your home? (Show all your work)
Mortgage I 30 year fixed rate @ 7.58%/yr/mo, monthly payments, minimum 5% down payment, 1 point closing costs Mortgage II 15 year fixed rate @ 7.13%/yr/mo, monthly payments, minimum 5% down payment, 1 point closing costs Mortgage III 30 year fixed rate @ 7.08%/yr/2-weeks, bi-weekly payments, minimum 5% down payment, 1 point closing costs Mortgage IV 15 year fixed rate @ 6.63%/yr/2-weeks, bi-weekly payments, minimum 5% down payment, 1 point closing costs
The fixed cost is assumed that Larry has discovered the other fixed cost incurred. The total investment is $800,000. The worst case scenario assumes that Larry got a total line of credit from the bank in the amount of $400,000 and invested $400,000 from other source. The Notes payable – short term and the long-term debt is (11.8 + 3.7) = 15.5 % from Table F in the handout. The Loan interest and payment per year is ($400,000 * 0.155)= $62,000. The Income data from Table F indicates that there is a 0.4% of all other expenses net out of the total sales which equals to $109,908 (5,700,666 gallons * $4.82 *0.4%) .
The interest payment of 504 has been paid for 1999 and is not due for 2000.
i. The present value of the future minimum lease payments is equal to $8,546. This amount was calculated by discounting each of the payments at the given rate of 12%.
(5 points) Megan wants to buy a designer handbag and plans to earn the money babysitting. Suppose the interest rate is 6% and she is willing to