1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kykrilka [37]
3 years ago
12

Monica, 22 just started working full time and plans to deposit $3,000 annually into a roth ira earning 12 percent interest compo

unded annually. How much would she have after 20 years, 30 years, and 40 years? If she decided to make monthly payments of $250 per month instead of the $3,000 each year would she end up with more or less money at the end of 40 years? If she had a 30% tax rate when she took the money out 40 years from now how much in taxes would she have to pay?
Business
1 answer:
Roman55 [17]3 years ago
7 0

Answer:

If she invests $3000 per year,

Monica will have   216157.33  at the end of 20 years

Monica will have 723998.05  at the end of 30 years

Monica will have 2301274.26  at the end of 40 years

When Monica invests $250 per month she will have

$247313.84  after 20 years

$873741.03  after 30 years

$2941193.13  after 40 years

Monica'll have to pay <u>$882,357.94 as taxes on monthly contributions</u>, and <u>$690,382.28  on annual contributions</u>.

Since Monica intends to contribute fixed amounts at regular intervals into a Roth IRA,  we consider these payments as annuities.

We need to compute the Future Values (FV) the annuities. For the first set of calculations the contributions are made annually. So we use the following formula:

\mathbf{FV = A* \frac{(1+r)^{n} -1}{r}}

Substituting the values in the formula above we get,

\mathbf{FV = 3000* \frac{(1+0.12)^{n} -1}{.12}}f she

\mathbf{FV = A* \frac{(1.12)^{n} -1}{0.12}}

We will change the value of n in order to determine the amount at the end of 20, 30 and 40 years

\mathbf{FV_{20} = 3000* \frac{(1.12)^{20} -1}{0.12} = 216157.33 }

\mathbf{FV_{30} = 3000* \frac{(1.12)^{30} -1}{0.12} = 723998.05}

\mathbf{FV_{40} = 3000* \frac{(1.12)^{40} -1}{0.12} = 2301274.26}

_________________________________________________________________

In the next set of calculations Monica deposits $25 each month to IRA, the FV is calculated as follows:

\mathbf{FV = A* \frac{(1+\frac{r}{m})^{mn} -1}{\frac{r}{m}}}

We plug in the values to get

\mathbf{FV_{20} = 250* \frac{(1+\frac{0.12}{12})^{12*20} -1}{\frac{0.12}{12}}}

\mathbf{FV_{20} = 250* \frac{(1.01)^{240} -1}{0.01} = 247313.84 }

\mathbf{FV_{30} = 250* \frac{(1.01)^{360} -1}{0.01} = 873741.03 }

\mathbf{FV_{40} = 250* \frac{(1.01)^{480} -1}{0.01} = 2941193.13 }

_________________________________________________________________

If she has a 30% tax rate after 40 years, she'd have to pay \mathbf{0.3 * 2941193.13 = 882357.94} on monthly contributions.

If her tax rate is 30% after 40 years, she'd have to pay \mathbf{0.3 * 2301274.26  = 690382.28 } on annual contributions.

You might be interested in
People who have a negative digestive response to milk or milk products are experiencing
Vedmedyk [2.9K]
Lactose intolerance
7 0
3 years ago
When entrepreneurs bring a new product to market or use a new production method, they are?
Tamiku [17]
Entrepreneurs are people who design, launch and run new businesses that are initially small with an aim of making profit. When entrepreneurs are bringing a new business or a new production method to the market they are innovating. Innovation is the process of implementing new idea or method of production in a business to create or increase value of a organization.
6 0
3 years ago
Which type of investment involves lending money and charging interest on it?
Pavel [41]
C. Debit investment
6 0
3 years ago
11. What are assets?
vampirchik [111]
Financial accounting, an asset is any resource owned by a business or an economic entity. It is anything that can be owned or controlled to produce value and that is held by an economic entity and that could produce positive economic value.
I hope this helps
7 0
3 years ago
Read 2 more answers
The effects of ____ are not sufficiently strong to manipulate consumers, alter their preferences, or make the ad more memorable,
katrin2010 [14]

Answer:

Subliminal stimuli

Explanation:

Subliminal stimuli is defined as a stimulus that is below the sensory capacity of an individual. It is below the threshold where the individual can perceive that there is a change in something. For example if a company is producing potato chips and they want to increase salt content.

The point at which the consumer starts to notice a change in salt content of the potatoe chips is above the subliminal stimuli.

Although subliminal stimuli is not readily perceived it can unconciously influence consumer behaviour.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Owning provides ____ flexibility but can lead to ______ costs in the long termA-greater ; lowerB- greater; higherC- less; lower
    7·1 answer
  • Improving performance and striving for a better career is an example of
    14·1 answer
  • Which of the following situations will not generale stress?
    10·2 answers
  • AAA's inventory turnover ratio is 20.00 based on sales of $28,400,000. The firm's current ratio equals 4.16 with current liabili
    12·1 answer
  • Bonnie Austin, age 30, used to work part time in a local restaurant. This year she quit her job to take care of her five-month-o
    7·1 answer
  • Todd Haitz works at a retail store selling sports equipment. His daily tasks include opening the store, creating the work schedu
    9·1 answer
  • Atburex is a furniture manufacturing company in the United States. The company provides a 60-day credit period and also offers o
    15·1 answer
  • Thermopolis, Inc. reported retained earnings of $490,953 on December 31, 2017. During the year, Thermopolis recorded net income
    12·1 answer
  • Cubie Corporation has provided the following data concerning its only product: Selling price$97per unit Current sales 10,300unit
    5·1 answer
  • 2. Provide three examples of innovative activities, practices that leaders might undertake. Do not limit your ideas to
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!