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S_A_V [24]
3 years ago
7

You believe you will need to have saved $590,000 by the time you retire in 30 years in order to live comfortably. If the interes

t rate is 6% per year, how much must you save each year to meet your retirement goal? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Business
2 answers:
FromTheMoon [43]3 years ago
6 0

Answer:

$7462.86

Explanation:

Given

FV= $590000

r =6%

n = 30

C =? period payments

So the future value of annuity is appropriate to use

FV = C × {(1+r)^t-1/r}

Then substitute in formula and solve for Annual savings (C)

590000 = C × {(1+0.06)^30-1/0.06}

590000 = C × 79.0582

C = 590000/79.0582

C = $7462.86

evablogger [386]3 years ago
3 0

Answer:

The amount of money you must save each year to meet your retirement goal is $7,462.86

Explanation:

Acording to the data, we have the following:

Future value =$590,000 , N = 30 years and I = 6%

Therefore, to calculate the amount of money you must save each year to meet your retirement goal you have to use the formula of the future value.

Future value = yearly deposit * FVIFA (N,i)

$590,000 = deposit * FVIFA (30 , 6%)

Deposit = $590,000 / 79.0582 = $7,462.86 . Money to save each year.

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katrin2010 [14]

Answer:

$97,000

Explanation:

The computation of capital account balance is shown below:-

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Capital account balance = $60,000 + $57,000 - $20,000

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7 0
4 years ago
You are torn between two saving accounts where to put your $1,500 in scholarship money for a year until you need it for next yea
mrs_skeptik [129]

Answer:

I would choose to invest in C-T bank since it offers $7.3675 more compared to Bank Wan

Explanation:

The two options can be expressed as shown;

Option 1: Bank Wan

A=P(1+r/n)^nt

where;

A=Total amount after a given time

P=Initial deposit

r-Annual interest rate

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In our case;

P=$1,500

r=2.5%=2.5/100=0.025

n=365 days

t=1 year

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A=1,500(1+0.025/365)^(365×1)

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Option 2: C-T Bank

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Total amount after a year=$1,545.3375 for C-T Bank

Total amount received to be received from C-T Bank-Total amount to be received from Bank Wan

=(1,545.3375-1,537.97)=$7.3675

I would choose to invest in C-T bank since it offers $7.3675 more compared to Bank Wan

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