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You are planning to save for retirement over the next 15 years. To do this, you will invest $1,100 a month in a stock account and $500 a month in a bond account.
You are planning to save for retirement over the next 15 years. To do this, you will invest $1,100 a month in a stock account and $500 a month in a bond account. The return on the stock account is expected to be 7 percent, and the bond account will pay 4 percent. When you retire, you will combine your money into an account with a 5 percent return. How much can you withdraw each month during retirement assuming a 20-year withdrawal period.
step 1, find the future value of your deposits
Find fv of stocks, pmt=-1100, i=7/12, n=15*12=180, and compute fv=348658.53 as below
FV = PV[(1+r)^n - 1] / r
= 1100 [(1+0.005833333)^180 - 1 ]/ 0.005833333
= 348658.5264
Find fv of bond, pmt=-500, i=4/12, n=15*12=180, and compute fv=123045.24
FV = PV[(1+r)^n - 1] / r
= 500 [(1+0.003333333)^180 - 1 ]/ 0.003333333
= 123045.2441
This gives a total of 471703.77.
Use this fv as the new pv in 15 years and solve for payment. pv=471703.77, n=20*12=240, i=5/12, fv=0, and compute the pmt = 3113.04
PV = P [(1 - (1+r)^-n] / r
471703.77 = P [(1 - (1+0.004167)^ -240] / 0.004167
471703.77 = P * 151.5253
P = 471703.77 / 151.5253
P = 3113.036 i.e. 3113.04
Retirement refers to the time of life when one chooses to permanently leave the workforce behind. The traditional retirement age is 65 in the United States and most other developed countries, many of which have some kind of national pension or benefits system in place to supplement retirees' incomes. Retirement is the most happiest thing to an employee in an organization .
Full retirement age is when an individual can collect the maximum amount of Social Security benefits, which is typically age 67 if you were born in 1960 or later. However, Social Security benefits are reduced for those who decide to retire early.
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