Retirement savingsA couple thinking about retirement decides to put aside $3,000 each year in a savings plan that earns 8% interest. In 5 years, they will receive a gift of $10,000 that also can be invested.

a. How much money will they have accumulated 30 years from now?

b. If the goal is to retire with $800,000 savings, how much extra do they need to save every year?

Answers

Answer 1
Answer:

Answer:

a. $408,334.39

b. $3,457.40

Explanation:

r = rate per period = 8% = 0.08

P = Initial Value of Gift = $10,000

t = time = 30 - 5 = 25, As received after 5 years.

A = P (1 + r)^(t)

A = $10,000 (1 + 0.08)^(25)

A = $10,000 x 1.08^(25)

A = $10,000 x 6.8485

A = $68,484.75

FV of annuity = P [((1 + r)^(n) - 1)/(r) ]

P = Periodic Payment = $3,000

a.

n = number of periods = 30

FV of annuity = 3,000 [((1 + 0.08)^(30) - 1)/(0.08) ]

FV of annuity = 3,000 [((1.08)^(30) - 1)/(0.08) ]

FV of annuity = 3,000 [\frac{10.0627 - 1} {0.08} ]

FV of annuity = 3,000 [\frac{9.0627} {0.08} ]

FV of annuity = $3,000 x 113.2832

FV of annuity = $339,849.63

Accumulated value of money can be calculated as follows;

$68,484.75 + $339,849.63

$408,334.39

b.

If they wish to retire with $800,000 savings, they need to save additional amount of money every year to provide additional amount of money, as follows;

$800,000 - $68,484.75

$731,515.24

The extra annual savings can be calculated as follows;

731,515.24 = P [((1 + 0.08)^(30) - 1 )/(0.08) ]

$731,515.24 = P x 113.28

Divide the above equation by 113.28 we get;

P = (731,515.24)/(113.28)

P = $6,457.40

They are already paying $3,000, So the extra saving they need make every year is calculated as follows;

$6,457.40 - $3,000

$3,457.40


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Answers

Answer:

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Explanation:

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Answers

Answer:

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Explanation:

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Answers

Answer:

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Explanation:

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Answers

Answer:

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Answers

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Answers

Answer:

B. A contra liability

Explanation:

A contra liability account is an account that is paired with another liability account and used to reduce the liability in that account. The Discount on Bonds Payable, decreases the Value of Bonds.

Final answer:

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Explanation:

The Discount on Bonds Payable account is a contra liability. In accounting, contra accounts are used to reduce the balance of their corresponding main accounts. Here, 'Discount on Bonds Payable' is used to reduce the balance of the 'Bonds Payable' account. For example, if a $10000 Bond is issued at a discount for $9500, the 'Bonds Payable' account would show $10000 and the 'Discount on Bonds Payable' would show $500 (which is a contra liability, not a regular liability). Over time, this discount is slowly amortized to interest expense, reducing the balance of the 'Discount on Bonds Payable' account and increasing the carrying value of the 'Bonds Payable' account.

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