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Answer :
Data: John's current pay is $78,000. Annual salary increase rate: 5% Maximum 401k contribution: 15% of pre-tax gross yearly salary Every year, John intends to pay 10% of his current earnings to his 401k.
Annual compounded return on 401k investments is expected to be 8%.
$10,000 wedding money target in 12 months
Short-term CD interest rate: 2%
Goal for house down payment: $40,000 in 5 years
Annual expected return on housing fund investments: 4%
At the age of 60, your 401k balance is $1,000,000.
85 years is the average life expectancy.
0.5% (6%/12) monthly rate of return on retirement investments
To figure out John's 401k balance at age 60, do the following:
Compute John's annual contribution to his 401k: $78,000 x 10% = $7,800
Employ the financial calculator's future value (FV) function:
N (number) = 30 (number of years until retirement)
I/Y = 8% (annual rate of return)
PMT = -$7,800 (negative because it’s a cash outflow)
PV = 0 (no initial balance)
FV = $?
FV = $1,057,323.95
Therefore, John would have saved approximately $1,057,323.95 at age 60.
a) To achieve an age 60 balance of one million dollars:
Use the present value (PV) function on the financial calculator:
N = 30 (number of years until retirement)
I/Y = 8% (annual rate of return)
PMT = -$? (negative because it’s a cash outflow)
PV = 0 (no initial balance)
FV = $1,000,000
PMT = -$9,308.79
Therefore, John would have to save approximately $9,308.79 every year to achieve an age 60 balance of one million dollars.
b) To find the percentage of his current salary that the annual savings amount represents: Divide the annual savings amount by John’s current salary: $9,308.79 / $78,000 = 0.1194
Multiply by 100 to get the percentage: 0.1194 x 100 = 11.94%
Therefore, the annual savings amount represents approximately 11.94% of John’s current salary.
To calculate how much John will have to contribute to the wedding fund every month for the next 12 months:
Use the present value (PV) function on the financial calculator:
N = 12 (number of monthly deposits)
I/Y = 2%/12 = 0.1667% (monthly rate of return)
PMT = -$? (negative because it’s a cash outflow)
PV = 0 (no initial balance)
FV = $10,000
PMT = -$821.47 As a result, John will have to contribute $821.47 to the wedding fund each month for the following 12 months.
To determine how much John must save each month for the next 60 months in order to acquire $40,000:
Employ the financial calculator's future value (FV) function:
N = 60 (number of months) (number of months)
I/Y = 4%/12 = 0.3333% (monthly interest rate)
PMT = -$? (negative since it represents a monetary outflow)
PV = 0 (no starting balance) (no initial balance)
FV = $40,000
PMT = -$603.94
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