A couple just got married and they are both 25 years of age. They each plan to retire in 40 years at the age of 65. They want to be able to receive $200,000 at the end of each year for 20 years, upon retirement(so their first retirement payment will be at 41)Currently they have a total of $2,000 in cash savings. How much must they save at the end of each year for the next 40 years so as to have enough money to achieve their current goal? Assume the interest rate is 8% and will remain the same. Also assume that they start saving at the end of the first year.

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?

Bobby has heard the importance of saving early for retirement. He wants to retire in 35 years. But he really likes traveling. Right now, he spends, on average, about $600 a month traveling. He is trying to decide if he should start saving his travel money for retirement now, or if he can continue traveling a few more years before beginning to save. Assume that he can find an annuity that pays 4.75% compounded quarterly. What is his future value if: a) He waits 20 years to start saving?  N:     P/Y:  I%:     C/Y:  PMT:                                      End or Begin    $201,091.59 $658,935.54 $823,669.42 $1,000,000.00

A couple is saving for retirement with three different accounts. The table below shows the current balances in their accounts, along with their yearly contribution, and the yearly return on each account. The couple will retire in 23.04 years and pool the money into a savings account that pays 3.09% APR. They plan on living for 28.39 more years and making their yearly withdrawals at the beginning of the year. What will be their yearly withdrawal? Yearly Contribution Account Fidelity Mutual Fund Vanguard Mutual Fund Employer 401k Balance $24,614.86 $183,591.46 $306,050.80 $1,000.00 $10,000.00 $15,000.00 APR 6.06% 7.55% 5.06%

Two friends, Alysha and Betty, are planning for their retirement. Both are 20 years old and plan on retiring in 40 years with $1,000,000 each. Betty plans on making annual deposits beginning in one year (total of 40 deposits) while Alysha plans on waiting and then depositing twice as much as Betty deposits. If both can earn 4.20 percent per year, how long can Alysha wait before she has to start making her deposits? (Round answer to 2 decimal places, e.g. 125. Do not round your intermediate calculations.) Alysha can wait for years