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Roman just retired, and has $700,000 to invest. A very safe Certificate of Deposit (CD) account pays 2%, while a riskier bond fund pays 6% in interest. Roman figures he needs $25,000 a year in interest to live on. How much should he invest in each account to make enough interest while minimizing his risk?
$ at 2%
$ at 6%
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- (1) SITUATION There are two brothers; Percy and Liam. They both have the goal to retire at the age of 65 with one million dollars in their respective bank accounts. They have been talking to people familiar with the stock market, who assure them that over long periods of time they will be able to earn an 8% return by investing. ANNUITIES Percy decides that instead of doing a one-time payment, he is going to save a little bit each month. If he begins saving $350 per month at age 25, will he meet his goal? (2) Liam follows his brother and begins to save $350 per month – except he again waits until he is 35. How much less will Liam have than his brother at retirement? .Jace is trying to determine how to invest $1,234.56 that he inherited from his cousin Elijah. He has the following options at his bank. Certificate of Deposit that pays 4.25% simple interest.Savings Account that pays 3.95% compounded annually.How much will the CD be worth if he left the money untouched for 30 years? A) $2,808.66 B) $5,246.88 C) $4,303.23 D) $28,086.60Suppose your parents deposit $4,000 into an account at the end of each year for 11 years. The account earns an annual interest rate of 1.4%. After the final deposit, they move the accumulated savings to a brokerage account and invest in the stock market, where they earn an average annual return of 6.9% for the following 16 years. How much will they have in the account at the end? O a. $131,280 O b. $404,155 O c. $137,311 O d. $296,336 e. $302,138 f. $279,603 g. $496,270 h. $249,511
- 1. If you want to have $500,000 when you retire and you put $85,000 in your retirement account right now, and you can get an interest rate of 5.2% a year, how many years will it take you to achieve your goal? 2. Sammy decides to set up a retirement fund. He deposits $7,000 a year. He earns an annual interest rate of 4.5. How much will Sammy have in his retirement fund in 25 years? 3. Sammy wants to see what his retirement fund would be if he made $7,000 deposits at the first of every year instead of at the end. How much will Sammy have im his retirement fund in 25 years at the rate of 4.5% if the deposits are made at the beginning of the year? 4. Sammy wants to help a fellow small business owner. The other owner, Mr. Noles offers to pay Sammy $4,250 a year for 8 years in exchange for a loan of $28,000. If the interest rate is 4.2%, is this a good investment for Sammy? What is the present value of this annuity?C) flat D) inverted 4. Ali is saving for a downpayment to buy a house. He deposits a fixed amount every quarter in a mutual fund that earns an APR of 10.0% in average. If his account calculates returns quarterly then how much should he deposit each quarter in order to have $50,000 in the account in five years' time? A) $2,280 B) $1852 C) $2,045 D) $1,957 5. Two years ago you purchased a new MPV for $50,000. You financed your MPV for 60 months at 6.15% APR (with payments made at the end of the month). You have just made your 24th monthly payment on your MPV. Assuming that you have made all of the first 24 payments on time, what is the outstanding principal balance (rounded to the nearest dollar) on your MPV loan? A) $17,818 B) $34,925 C) $31,818 D) $23,283Your rich aunt puts $35,000 into a bank account earning 4.00%. You are not to withdraw the money until the balance has doubled. About how many years will you have to wait?
- Charlie Brown, a 25 year old professional, invests $200 a month in the XYZ Capital Opportunity Fund, which has a 10-year average return of 8.75%. a. Charlie wants to estimate what he will have for retirement when he is 60 years old if the rate stays constant. Assume monthly compounding. b. if Charlie makes no further deposits and makes no withdrawals after the age 60, how much will he have for retirement at age 65?5. Your great uncle recently died and left you $50,000 in his will. The lawyers tell you that the will is complex and facing legal challenges and you cannot expect the money to be paid before the end of the next three years. They also warn that the money is invested in some funds that cannot be cashed out until five years from now. Your great uncle's bank pays an interest rate of 3% annually. What is the equivalent PV of that money today? What will it be worth at the end of five years? Why does the value change over time?22. Your cousin has asked for your advice on whether or not to buy a bond for $995, which will make one payment of $1,200 five years from today, or invest in a local bank account. a. What is the internal rate of return on the bond's cash flows? What additional information do you need to make a choice? b. What advice would you give her if you learned the bank is paying 3.5% per year for five years (compounded annually)? c. How would your advice change if the bank were paying 5% annually for five years? If the price of the bond were $900 and the bank pays 5% annually?
- You decide to contribute to a mutual fund that averages 3.6% return per year. If you contribute $600 quarterly. Round all answers to the nearest cent as needed. a) How much will be in the account after 20 years? $ b) How much of this money did you deposit? $ c) How much of this money is interest earned? $ Submit Question Question 3Will Stephanie have enough funds for her investment in stocks and bonds, when needed? What will be the surplus / shortfall, if any? Given that Stephanie’s bank offers an interest rate of 6% per year, what additional amount should she have deposited as a fixed deposit in the bank so as to accumulate the amount needed for her investment in stocks and bonds when needed? 3. Suppose Stephanie deposited the $50,000 in a fixed deposit. For the shortfall, she thought of purchasing a 5-year ordinary annuity that pays an interest rate of 3.5% per annum, what annual deposit will be required to cover the shortfall? 4. Which of the two options would you recommend for covering the shortfall (Choose between the options in questions 8 and 9 above). Support your response with suitable computation.Elena wanted to invest in a trust fund. She borrows from a credit cooperative that charges 8% simple interest rate to be deducted in advance and payable in 2 years. How much will she borrow to start investing P50, 000? Select the correct response: 52, 085.23 55, 700.00 59, 523.81 60, 250.00
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