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3. At 45 years of age, Sean figured he wanted to work for 10 years more and then retire. He had invested heavily over the last 15 years, which had paid off. Sean had $375,000 in the bank and was debt-free. With only 10 years before retirement, Sean wanted to make solid financial decisions. He had located a property that seemed to meet his needs – a well maintained four-unit apartment. The price tag was $375,000, and the apartment required no remodeling. Sean really wanted to have $750,000 to retire with at the age of 55.
a) Sean read an article in the local newspaper stating the real estate in the area had appreciated by 5.5% per year over the last 30 years (annual compounding). Assuming the article is correct, what amount would he need to invest right now to have $750,000 in 10 years?
b) Sean realizes that he can’t put this amount in real estate right now, so he decides that he can wait until he’s 60 to retire. What
amount does he need to invest in real estate today in order to have $750,000 in 15 years? Will he be able to do this?
c) Sean meets with an investment broker who claims she averages a 7.2% annual
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- Mark Smith wants to save money to meet two objectives. First, he would like to be able to retire 20 years from now and have a retirement income of $30000 per year for at least 30 years. Second, he would like to purchase a fishing boat 5 years from now at an estimated cost of $20000. He can afford to save only $6000 per year for the first 10 years. Mark expects to earn 8% per year on average from investments over the next 50 years. What must his minimum annual saving be from years 11 through 20 to meet his objectives?arrow_forwardElizabeth recently calculated her financial score. She was stunned to see how low it turned out to be. Undaunted, Elizabeth is determined to turn her financial situation around. To do this, she has set a financial goal to create an emergency savings fund. She can save $440 per month ($5,280 per year). She would like to accumulate $21.720 over the next 4 years. If Elizabeth can earn a 5% rate of return on her yearly savings, do you think she will accomplish her goal? (Round future value factor calculations to 5 decimal places, e.g. 1.25124 and final answer to 2 decimal places, e.g. 52.75.) Future value of an annuity Elizabeth accomplish her goal.arrow_forwardMisty needs to have $20,000 at the end of 6 years to fulfill her goal of purchasing a small sailboat. She is willing to invest a lump sum today and leave the money untouched for 6 years until it grows to $20,000, but she wonders what sort of investment return she will need to earn to reach her goal. Use your calculator or spreadsheet to figure out the annually compounded rate of return needed if she can invest $13,900 today.arrow_forward
- Rachel purchased a car for $17,500 three years ago using a 4-year loan with an interest rate of 10.8 percent. She has decided that she would sell the car now, if she could get a price that would pay off the balance of her loan. What is the minimum price Rachel would need to receive for her car? Calculate her monthly payments, then use those payments and the remaining time left to compute the present value (called balance) of the remaining loan.arrow_forwardCharlotte has just finished her MBA and started a career in banking investment, she wanted to have a new car as soon as possible. The price of the car is $ 28,320. She must also have clothes and coats for the job which costs $ 3,248. The salary for his job this year is $ 42,000 and next year it will be increasing to $ 46,000. The cost of living this year is $ 34,000. Charlotte plans to make the difference between income and expenditure for consumption by borrowing. Interest on the loan is 15% per year. Charlotte wants to pay the loan and interest within a year. How much money is left for next year that Charlotte can spend (consume)?arrow_forwardHank purchased a car for $20,500 two years ago using a 4-year loan with an interest rate of 6.0 percent. He has decided that he would sell the car now if he could get a price that would pay off the balance of his loan. What’s the minimum price Hank would need to receive for his car? Calculate his monthly payments, then use those payments and the remaining time left to compute the present value (called balance) of the remaining loan. (Do not round intermediate calculations and round your final answer to 2 decimal places.) Minimum Price = $_____.__arrow_forward
- Please help me correctly. Theresa and Raul purchased a house 10 years ago for $220,000. They made a down payment of 20% of the purchase price and secured a 30 year conventional home mortgage at 4.5% per year compounded monthly on the unpaid balance. The house is now worth $280,000. How much equity do Teresa and Raul have in their house now?.arrow_forward7). Kevin is 25 years old and just finished taking a Personal Finance class. He wants to start a investment plan with a goal of reaching $1,000,000 by the time he is 55 years old. He decides to invest in a Real Estate Investment Mutual Fund that has paid a dividend yield of 12% for the past several years. If Kevin wanted to make ONE investment at age 25 and let it grow, how much would he need today to reach that goal? If Kevin decides that he wants to invest in the Real Estate Investment Fund in equal monthly payments every year, how much will he have to invest on a monthly basis?arrow_forward
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