Question

In: Finance

Emma Jones is planning to move this coming summer to Oxford, MS to start her new...

Emma Jones is planning to move this coming summer to Oxford, MS to start her new job at a technology firm. She has not yet decided whether she wants to rent or buy a property here in Oxford and she is asking your team to help her make this financial decision. Her monthly budget is $1,500 to cover any housing expenses including rent or owners’ costs (example: mortgage, hazard insurance, property taxes, and Home Owner Association fees). A good start of the analysis is by applying financial concepts such as the “time value of money.”

Emma’s contract is for three years and is renewable for three more. Her plan is to stay in the Oxford area for no more than 8 years. Even if her job continues to work out well, she will try to move from the location she selects to a bigger house.

Although at times a person might have reasons other than financial ones for renting rather than buying, Emma is convinced that she will make this decision purely based on financial motives. She is not worried about arguments such as “you are throwing away your money when renting” or “it is better to be flexible and rent rather than buy”.

Total points for the case: 100 points

Questions:

Please Include Excel Formulas

  1. Estimate the maximum house value she can afford to buy. Assume the mortgage is fixed rate, 30 years maturity, 80% LTV, with no points. The interest rate that she was quoted is 4.8% with monthly payments. The property tax rate in the city of Oxford is 0.7% per year of the property value; the hazard insurance premium is 0.5% per year, and that on average you should consider $50 per month for maintenance. Determine the required monthly payment for the mortgage and the maximum house value she can afford if she buys (15 points). With this maximum house value select one that Emma can afford and follow the instruction for the case.

Solutions

Expert Solution

ANSWER:-

Given that

Let's say that A be the mortgage amount Emma is able to pay per month to service the mortgage.

Frequency = monthly, Period = month

Interest rate per period, R = Interest rate per month = 4.8% / 12 = 0.40%

Number of periods, N = nos. of months in 30 years = 12 x 30 = 360

Hence, the present value of mortgage payments = Loan amount = PV of annuities, A = A / R x [1 - (1 + R)-N]

= A / 0.4% x [1 - (1 + 0.4%)-360] =  190.60A

LTV = 80%

Hence, maximum value of house = Loan amount / LTV = 190.60A / 80% = 238.25A

Property tax rate in the city of Oxford = 0.7% per year of the property value = 0.7% x 238.25A = 1.67A

Monthly property tax = 1.67A / 12 = 0.14A

The hazard insurance premium = 0.5% per year

Hence monthly payment = 0.5% x 238.25A / 12 = 0.10A

$50 per month for maintenance

Monthly budget towards house = $ 1,500

Hence, Monthly mortgage payment + monthly property tax + monthly hazard insurance premium + monthly maintenance expense = 1,500

Hence, A + 0.14A + 0.10A + 50 = 1,500

Or, 1.24A = 1,500 - 50 = 1,450

Hence, A = 1,450 / 1.24 = $ 1,169.35

Hence, the required monthly payment for the mortgage, A = $ 1,169.35

and the maximum house value she can afford if she buys =  238.25A = $ 278,599 (can be rounded off to $ 278,600 as well)

------------ 0 -----------


Related Solutions

Emma Jones s plain to move this coming summer. She has not yet decided whether she...
Emma Jones s plain to move this coming summer. She has not yet decided whether she wants to rent or buy a property here in Mississippi. Her monthly budget is $1500 to cover any housing expenses including rent or owners' costs (example: mortgage, hazard insurance, property taxes, and Home Owner Association fees). Estimated the maximum house value she can afford to buy. Assume the mortgage is fixed rate, 30 years maturity, 80% LTV, with no points. The interest rate that...
Ms. Blavatsky is proposing to form a new start-up firm. She can invest her money in...
Ms. Blavatsky is proposing to form a new start-up firm. She can invest her money in one of two projects: (i) a relatively safe project that offers a 40% chance of a $12.5 million payoff and a 60% chance of an $8 million payoff; and (ii) a risky project that offers a 40% chance of a $20 million payoff and a 60% chance of a $5 million payoff. Ms. Blavatsky initially proposes to finance the firm by an issue of...
"Ms. Jones wants to buy a new car for $30,000. She will make a down payment...
"Ms. Jones wants to buy a new car for $30,000. She will make a down payment of $15,000. She would like to borrow the remainder from a bank at an interest rate of 9.6% compounded monthly. She agrees to pay off the loan monthly for a period of 3.25 years. Assume that Ms. Jones has made 16 payments and wants to figure out the balance remaining immediately after the 16th payment. Determine the remaining balance." Show all work
Jim Smith and Bob Jones are new summer interns working for a major insurance company. During...
Jim Smith and Bob Jones are new summer interns working for a major insurance company. During their lunch break each day, they eat at a local sandwich shop. One day, Bob’s girlfriend joins you for lunch. When the bill arrives, Bob pays and tells Jim he will submit the bill for expense reimbursement as a business expense. Bob treats his girlfriend to lunch in this manner several times during the next month. You always ask for separate checks and pay...
Rachel has a new-born daughter, Emma. She meets with her wealth manager at Fidelity to discuss...
Rachel has a new-born daughter, Emma. She meets with her wealth manager at Fidelity to discuss a college fund for her daughter. The manager offers a plan that Rachel saves the same amount of money every year and then the fund will pay for Emma’s college education. Rachel forecasts that Emma will go to a four-year college at age 20, and each year’s college will cost $40000. If Rachel starts to save next year (at Emma’s age 1) and stops...
Ms. Jenny Joy is planning to open her first own business project: a little café close...
Ms. Jenny Joy is planning to open her first own business project: a little café close to the university district of the imaginary town of Brightside. She has rented a small, but nice venue for the café. She has worked hard to keep the target opening date of 1 June. There is a very important report missing from her paperwork though; she does not know how much profit she can expect during the first 3 months of operation. She remembers...
Ms. Jenny Joy is planning to open her first own business project: a little café close...
Ms. Jenny Joy is planning to open her first own business project: a little café close to the university district of the imaginary town of Brightside. She has rented a small, but nice venue for the café. She has worked hard to keep the target opening date of 1 June. There is a very important report missing from her paperwork though; she does not know how much profit she can expect during the first 3 months of operation. She remembers...
A firm is planning to start a new project. The firm spent $45,000 on a market...
A firm is planning to start a new project. The firm spent $45,000 on a market study and $30,000 on consulting three months ago. If the firm starts the project, it will spend $600,000 for new machinery, $50,000 for installation, and $20,000 for shipping. The machine will be depreciated via the 5-year MACRS depreciation method (20.00%, 32.00%, 17.20%, 11.50%, 11.50%, and 5.8%, respectively, from Year 1 to Year 6). The expected sales increase from this new project is $450,000 a...
1. Ms. Jones is 50 years old and 30 pounds overweight. She reads about several new...
1. Ms. Jones is 50 years old and 30 pounds overweight. She reads about several new diets and wants to try one of them. Several popular plans are low-carbohydrate diets. Most low-carbohydrate diets compensate by eating more protein and fat. What are the advantages and disadvantages of such diets? describe with APA references (type at least 250 words) 2. 55-year-old Jim, a school teacher, has had hypertension (180/110) for years and also Type- 1 diabetes. He does not have any...
2) At the start of the new year, Adriana finds out that the price of her...
2) At the start of the new year, Adriana finds out that the price of her economics textbook increased from $100 to $120, She along with her classmates plans on purchasing the textbook, but falls from 10 students to 9 students. At the same time, the minimum wage increased from $11.50 to $12.00. What is Adriana’s income elasticity? 3) Ernesto is looking to purchase a new vehicle as his income has increased from $2,000 per month to $3,000 per month,...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT