Megan's dad is ready to lend her money at 4.9% interest per year for 3 years of college; however he would like Megan to pay him $1,600 a year at the end of each year. Megan thinks that on getting her first job after 3 years she will get a joining bonus of $28,000. She would like to borrow as much money as possible from her dad that can be paid off with the bonus amount. How much should she borrow?
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- Tala McLouf, a 21-year-old BBA graduate, likes to plan for her future ahead, and would like to save $47.50 every week for her retirement later on. At the end of each year, Tala would invest her total accumulated savings into an account at the local credit union paying her a yearly interest rate of 8.25%. How much money will Tala be able to save per year? How much money will Tala have saved when she reaches 55 years old? How much would Tala have saved by the time she is 60 years old, if she starts investing for her retirement at the age of 40 after paying off the mortgage for her house in Los Angeles? Even if Tala starts saving at 40, she would still like to have the same amount of money in her account when she is 60 as she would have had, had she started saving back when she was 21.Your parents start saving for your sister's college education. She will begin college at age 18 and will need $4,000 per year at the end of each of the next 4 years. They will make a deposit one year from today in an account which pays 6% compounded annually, and an identical deposit each year including the year she starts college. If a deposit of $1,987 will allow them to reach their goal, how old is your sister now?Joanna’s Dad is looking to deposit a sum of money immediately into an account that pays an annual interest rate of 10% so that her first-year's college tuition costs are provided for. Currently, the average college tuition cost is $15,000 and is expected to increase by 5% annually (the average annual inflation rate). Joanna just turned 3 and is expected to start college when she turns 18. How much money will Joanna’s Dad have to deposit into the account?
- Melissa is starting a savings for the initial capital to start a jewelry company right after graduation for 3 years. Her job base salary after graduating is expected to be $85,000 paid through equal payments at the end of every month throughout the year. She assumes a 7% increase in annual salary each year. Melissa expects to pay $1,800 monthly rent for her apartment and an extra $1,500 per month to cover other living expenses and she plans to save the rest. As her salary grows, she is plans to move to a nicer place and lifestyle. The expected rent increase is 5% every year and the expected increase in other expenses is 10%. She plans to keep this constant pattern of expenses and income. Assume a 5% nominal interest rate per year compounded monthly.1. Draw the Cash Flow Diagram2. How much money will she have at the end of year 3?3. If Melissa knows that she needs only $100,000 to start her company, how many months it takes until he saves up this amount with the current saving…Amy currently has $500 in an account with an annual rate of return of 4.3%. She wants to have $3000 for a trip to Florida when she graduates in 2 years. How much will she have to save each month to afford her trip?Elijah and Laila are saving for their daughter Tanisha's college education. Tanisha just turned 10 (at t = 0), and she will be entering college 8 years from now (at t = 8). College tuition and expenses at State U. are currently $15,500 a year, but they are expected to increase at a rate of 4.0% a year. Tanisha should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. Tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11).So far, Elijah and Laila have accumulated $17,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $6,000 in each of the next 4 years (at t = 1, 2, 3, and 4). Then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. They expect their investment account to earn 7%. How large must the annual payments at t = 5, 6, and 7 be to cover Tanisha's anticipated college costs?
- Shemar and Candice are saving for their daughter Laila's college education. Laila just turned 10 (at t = 0), and she will be entering college 8 years from now (at t = 8). College tuition and expenses at State U. are currently $16,00o a year, but they are expected to increase at a rate of 3.5% a year. Laila should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. Tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11). So far, Shemar and Candice have accumulated $15,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $5,500 in each of the next 4 years (at t = 1, 2, 3, and 4). Then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. They expect their investment account to earn 10%. How large must the annual payments at t = 5, 6, and 7 be to cover Laila's anticipated college costs? O a. $2,079.12 O b.…Lauren is the proud mother of a new baby girl and plans tosend her daughter to college 19 years from now. Lauren wants tomake a deposit each summer in a special account at her bank whichpays 8% (compounded annually) so that she will have enough moneyset aside that she can withdraw $21,000 at the beginning of eachyear to pay tuition, room and board, etc., for each year of herfour-year education. How much will Lauren have to deposit at theend of each year in order to have enough to pay for her daughter's education?Philip works at a nursing home as an aide and earns $27,000 a year. IF he went to school to get a nursing degree he could earn $50,000 in the first year. Philip knows this but he also knows that tuition and fees at a nearby college could cost about $45,000(total). He can get a student loan for 5% with 10 years to repay the loan. What is the total cost of the student loans?
- Michelle is attending college and has a part-time job. Once she finishes college, Michelle would like to relocate to a metropolitan area. She wants to build her savings so that she will have a "nest egg" to start her off. Michelle works out her budget and decides she can afford to set aside $80 per month for savings. Her bank will pay her 4% per year, compounded monthly, on her savings account. What will be Michelle's balance in five years?Your friend is considering investing in a two-year MBA program. Tuition costs will be $60,000 for two years while living expenses will be $25,000 per year. She has $10,000 in savings, which she can spend on her education, and will need to borrow the rest from her bank. Her annual loan repayment will be $10,500. She currently works as an analyst and makes $60,000 a year: after she gets her degree she hopes to work as a manager for $150,000 a year. Refer to the seven-step procedure to answer these questions: (a) How should your friend formulate her problem? (b) What are her projected costs? (Identify all costs) (c) Suggest alternatives to your friend to reduce the uncertainty associated with finding a high-income job to pay off her loan (d) Select a criterion for discriminating among alternatives, and use it to advise your friend on which course of action to pursue. (e) Attempt to analyze and compare the alternatives in view of at least one criterion in addition to cost. (f) What should…Aziz and Bo are planning a big graduation party for their friends in exactly four years. They decide to invest some money today to cover the costs of the party. Both determine they will receive an APR of 3% from their investments and need $10 000 to cover the costs, but Aziz’s investment compounds monthly while Bo’s compounds weekly.If PA is the initial value of Aziz’s investment, PB is the initial value of Bo’s investment, and both aim to finance the party with the least amount of capital, what is the relationship between PA and PB? Namely, is PA > PB, PB > PA, are they equal, or can they not be compared? Give a brief explanation of your answer.