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valkas [14]
3 years ago
15

This is a classic retirement problem. A time line will help in solving it. Your friend is celebrating her 35th birthday today an

d wants to start saving for her anticipated retirement at age 65. She wants to be able to withdraw $125,000 from her savings account on each birthday for 20 years following her retirement; the first withdrawal will be on her 66th birthday. Your friend intends to invest her money in the local credit union, which offers 7 percent interest per year. She wants to make equal annual payments on each birthday into the account established at the credit union for her retirement fund.
a. If she starts making these deposits on her 36th birthday and continues to make deposits until she is 65 (the last deposit will be on her 65th birthday), she must deposit $______ annually to be able to make the desired withdrawals at retirement.
b. Suppose your friend has just inherited a large sum of money. Rather than making equal annual payments, she has decided to make one lump sum payment on her 35th birthday to cover her retirement needs. This deposit will have to be in the amount of $_____ .
c. Suppose your friend's employer will contribute $3500 to the account every year as part of the company's profit-sharing plan. In addition, your friend expects a $175,000 distribution from a family trust fund on her 55th birthday, which she will also put into the retirement account. She must deposit $_________ annually now to be able to make the desired withdrawals at retirement.
Business
1 answer:
xeze [42]3 years ago
7 0

Answer:

a. $21,725.65

b. $19,385

c. 27,421.32

Explanation:

Savings = 125,000

Annuity Formula :

(\frac{1}{1.07})^{30} [  \frac{125,000}{0.07} ( 1 - \frac{1}{1.07 ^}^{20} ) ] = \frac{A}{0.07} ( 1 - \frac{1}{0.07 ^ } ^{30} )

Solving the equation we get,

A  = $21,725.65

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<h3>How do these changes affect equilibrium price and quantity?</h3>

If supply decreases while demand remains constant, there would a shift to the left of the supply curve. This would lead to an increase in equilibrium price while equilibrium quantity would decrease.

If demand decreases while supply remains constant, there would a shift to the left of the demand curve. This would lead to a fall in equilibrium price and equilibrium quantity.

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If demand increases, there would be an increase in equilibrium quantity and price.

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If demand increases, there would be an increase in equilibrium quantity and price. If supply decreases it would lead to an increase in equilibrium price while equilibrium quantity would decrease. Taking these two effects together, equilibrium price increases and there is an indeterminate effect on equilibrium quantity.

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Here is the complete question:

How will each of the following changes in demand and/or supply affect equilibrium price and equilibrium quantity in a competitive market, that is, do price and quantity rise, fall, or remain unchanged, or are the answers is indeterminate because they depend on the magnitudes of the shifts? Use supply and demand to verify your answers. Supply decreases and demand is constant. Demand decreases and supply is constant. Supply increases and demand is constant. Demand increases and supply increases. Demand increases and supply is constant. Supply increases and demand decreases Demand increases and supply decreases. Demand decreases and supply decreases.

To learn more about supply curves, please check: brainly.com/question/26073189

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