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den301095 [7]
4 years ago
11

A 25-year-old engineer is opening an individual retirement account (IRA) at a bank. Her goal is to accumulate $1 million in the

account by the time she retires from work in 40 years. The bank manager (a) (b) (c) (a) (b) (c) (a) (b) (a) (b) (c) (a) (b) (c) estimates she may expect to receive 6% nominal annual interest, compounded quarterly, throughout the 40 years. The engineer believes her income will increase at a 5% annual rate during her career. She wishes to start her IRA with as low a deposit as possible and increase it at a 5% rate each year. Assuming end-of-year deposits, how much should she deposit the first year
Business
1 answer:
dimaraw [331]4 years ago
8 0

Answer:

The minimum deposit will be of 3,081 and after 40 year it will get 1,000,000 dollars

Explanation:

We have to solve for the C of an annuity growing

\frac{1-(1+g)^{n}\times (1+r)^{-n} }{r - g}

g 0.05

r 0.06

C 3,081

n 40

C \frac{1-(1+0.05)^{40}\times (1+0.06)^{40} }{0.06-0.05} = 1,000,000

C \times 324.57 = 1,000,000

C = 1,000,000/ 324.57 = 3,081

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snow_tiger [21]

Answer:

2041 shares

Explanation:

Maximum amount for investment = $ 50 000 / 70 % = $ 71428.571

maximum number of shares =  $ 71428.571 / $ 35 = 2040.812 approx 2041 shares

6 0
3 years ago
How does scarcity affect Trey?
Diano4ka-milaya [45]

Answer:

The answer is: All our actions and decisions are affected by scarcity. Trey must decide what actions he needs to take to maximize his well being.

Explanation:

By definition all resources are finite, they have a limit. Even the richest corporations in the world have a certain amount of money, no one can have infinite money. No basketball team is made up of 7 billion people, someone in the world will not be able to play basketball. Time, materials, goods, services, everything is limited, so everything is scarce.

Trey´s (and everyone else´s) day is only 24 hours long, so he must decide how to divide his time to achieve the goals that maximize his happiness or well being. He must decide what is most important for him, a car or the basketball team. Time scarcity sets up a limit on the decisions we make. He must decide whether to work more to be able to buy the car, or should he stay on the team and forget about the car. Only Trey can decide based on what will make him happier.

6 0
3 years ago
Sam lives in San Diego and runs a business that sells pianos. In an average year, he receives $793,000 from selling pianos. Of t
iragen [17]

Answer:

a. explicit cost

b. explicit cost

c. implicit cost

d. implicit cost

Explanation:

Explicit costs can be defined as the actual costs incurred to run the business like supplies, utilities, materials or wages, while implicit costs can be defined as the opportunity cost of running the business like the potential salary of working in another job or the possible revenue of renting the current operating location.

a. The wages and utility bills that Sam' pays - explicit cost (actual costs)

b. The wholesale cost for the guitars that Sam' pays the manufacturer - explicit cost (actual costs)

c. The rental income Sam' could receive if he chose to rent out his showroom  - implicit cost (potential revenue lost)

d. The salary Sam' could earn if he worked as a financial advisor - implicit cost (potential revenue lost)

7 0
3 years ago
You want to purchase a new motorcycle that costs $29,800. The most you can pay each month is $510 over the life of the 78-month
TiliK225 [7]

Answer:20,5369%

Explanation:We know APR is the Annual Percentage Rate that is paid over a loan. If we are to pay during 78 months at most $510 each month, then we could pay in total 510*78=$39780 in the course of the six years and a half that constitute the 78 months. This means that yearly we can pay in interest $39780/6,5=$6120 each year, this represents the interest over the loaned money, i.e., the $29800. Then the APR is

\\\frac{6120}{29800} =20,5369\% annualy or 1,71141% monthly and it is the highest APR you could afford, 20.5369%

4 0
3 years ago
George Jefferson established a trust fund that will provide $170,500 per year in scholarships. The trust fund earns an annual re
Dimas [21]

Answer:

$8,119,048

Explanation:

Given that,

Amount of scholarships = $170,500 per year

Trust fund earns an annual rate of return = 2.1 percent

Let x be the amount contribute to the fund and assuming that only income is distributed,

2.1% of x = Amount of scholarships

0.021x =  $170,500

x = $170,500 ÷ 0.021

  = $8,119,048

Therefore, the amount of money that is contributed by the George Jefferson to the trust is $8,119,048.

4 0
3 years ago
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