John and Jane are twins. Jane invests $5,000 at age 20 and earns 5% EAR. John invests $10,000 at age 40 and earns 5% EAR. Assuming that John and Jane do not have any other savings, no matter how long they live, John will never have as much money as Jane. Explain why?
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- The Ali plan to retire and start receiving their Social Security benefits at the same time, when Jimmy is 67 and Lucy is 62 years old. Their monthly Social Security retirement benefits at those ages in today's dollars are estimated to be $3,200 for Jimmy and $2,000 for Lucy. They think their expenses in retirement in today's dollars will be 70% of their total cash outflows now. Other than Social Security, they will rely on their retirement savings in order to meet their retirement expenses. They want to assume they will die in the same year, when Jimmy is 95 and Lucy is 90 years old.Determine what the payments will be in the distribution phase. These will be the withdrawals Jimmy and Lucy will need to take monthly from their accounts, in order to meet their retirement expenses. How much is that monthly amount?Note: this question is asking about the withdrawals they will need, not about the expenses they will be incurring monthly.James Bennett also allocates wealth between youth and old age. He has no cash currently (in his youth), but will inherit $3000 in his old age. He can lend and borrow at the bank at 18% (that is, lending $1 in youth will give him $1.18 in old age). He has an investment opportunity that costs $12,000 now in his youth and has a payoff of $15,000 in his old age. This is the only investment opportunity available to him. What is the most he can consume in his youth?Two people plan to invest $50,000. Matt is going to invest it in one lump sum and leave it in the account for 25 years to use for retirement. Sarah is going to invest $2000 per year for 25 years and will also use the money in the account for retirement. Is it reasonable to expect that Matt will have more money in his account than Sarah does in 25 years if both accounts earn the same interest?
- You are a dual-income, no-kids family. You and your spouse have the following debts: Mortgage = $261,000; Auto loan = $10,000; Credit card balance = $2,150; and other debts = $6,200. Further, you estimate that your funeral will cost $9,000. Your spouse expects to continue to work after your death. Using the DINK method, what should be your need for life insurance? Total insurance need $ 288,350Sharon and Brian are in good health and have reasonably secure careers. Each earns $45,000 annually. They own a home with a $125,000 mortgage; they owe $25,000 for their car loans and have $22,000 in student loans. If one should die, they think that funeral expenses would be $12,000. What is their total insurance need using the DINK method?Harry is saving towards the down payment on a house. If he accumulates $5,000,000, hisparents have offered to match his savings. He invests $2,000,000 at 9%.i. How long will it be before he can approach his parents for their contribution?
- Consider the case of the following annuities, and the need to compute either their expected rate of return or duration. Ryan inherited an annuity worth $3,280.16 from his uncle. The annuity will pay him five equal payments of $800 at the end of each year. The annuity fund is offering a return of . Ryan’s friend, Sebastian, wants to go to business school. While his father will share some of the expenses, Sebastian still needs to put in the rest on his own. But Sebastian has no money saved for it yet. According to his calculations, it will cost him $30,044 to complete the business program, including tuition, cost of living, and other expenses. He has decided to deposit $4,200 at the end of every year in a mutual fund, from which he expects to earn a fixed 7% rate of return. It will take approximately for Sebastian to save enough money to go to business school.Destiny invests $20,000 today into a retirement account. She expects to earn 7 percent, compounded annually, on her money for the next 30 years. After that, she wants to be more conservative, so only expects to earn 4 percent, compounded annually. How much money will she have in her account when she retires 40 years from now, assuming this is the only deposit he makes into the account? O $225,359.94 O $152.245.10 O $377,605.04 $299,489.16 O None of the answers is correctHuey, Dewey and Louie are triplets. They are 25 years old and are trying to set up savings plans for themselves. They plan to retire at age 65. They each have different ideas. All APR’s are 4%. Huey’s plan: deposit $100 each month into the account and leave the money in the bank until he retires at age 65. Dewey’s plan: Dewey doesn’t want to be bothered with monthly payments like Huey. He wants to hang onto his money throughout the year, and then make just one payment at the end of each year. He’ll deposit $1200 per year in his bank. He figures that at retirement his Nest Egg will be the same size as Huey’s because each year, he’s deposited just as much. Louie’s plan: Louie’s a party guy! He wants to have fun with his money while he’s young! He decides he’ll put off saving until he’s 45, at which time he’ll start putting in twice as much per month as Huey ($200). He figures with this plan, his Nest Egg ought to be the same size as Huey’s when they retire at age 65. (Twice as…
- David has a total wealth of $50,000, which corresponds to 500 utils of happiness (i.e., David's utility from $50,000 of wealth is equal to 500). If David gets sick he will incur $30,000 in medical bills, leaving him with $20,000 of wealth and utility from wealth of 300 (i.e., David's utility from $20,000 of wealth is 300). Suppose that David has a 40% chance of getting sick. What is David's expected utility from wealth? (Note that expected utility from wealth is equivalent to expected utility over wealth.)Tom and Tina are updating their financial plan and are concerned that they might not have enough life insurance coverage for their family, which includes two children, ages 4 and 10. They have determined that their annual income is $70,000 and their net worth is now $150,000. What is the amount of life insurance they should carry using the easy method?You and your spouse are in good health and have reasonably secure careers. Each of you makes about $40,000 annually. You own a home with an $80,000 mortgage, and you owe $15,000 on car loans, $5,000 on personal debts, and $4,000 on credit card loans. You have no other debt. You have no plans to increase the size of your family in the near future. Estimate your insurance needs using the DINK method. Show work!