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Ludmilka [50]
2 years ago
5

How much money does Ted need to invest each month in order to accumulate $10,000 over a five-year period, if he expects to get a

return of 5.625% per year
Business
1 answer:
Kipish [7]2 years ago
7 0

Based on the amount to be accumulated and the return, the amount to invest per month is<u> $144.71.</u>

The amount to invest will be constant which makes it an annuity. First we need to convert the interest rate and period to periodic figures.

<h3>Periodic Interest                                      Number of periods </h3>

= 5.625% / 12 months                                            = 5 years x 12 month

= 0.46875%                                                             = 60 months

The $10,000 will be the future value of the annuity.

<h3>Amount to invest </h3>

Future value of annuity = Annuity x ( ( 1 + interest) ^ number of periods -1)/interest

10,000 = Annuity x ( ( 1 + 0.46875%)⁶⁰ - 1) / 0.46875%

10,000 = Annuity x 69.101758487

Annuity = 10,000 / 69.101758487

= $144.71

In conclusion, he should invest $144.71 each month.

Find out more on the future value of annuities at brainly.com/question/24559701.

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In the early 1980s, David Jimenez, a corporate finance manager, was faced with which of the following problems?
Anton [14]

Answer:

<u>a. High inflation rates</u>

Explanation:

Note that<em> a major role of a corporate finance manager </em>is to maximize the profits of a business by providing advice as to mergers as well as buying and selling financial products.

Therefore, according to reports David Jimenez in the early 1980s was faced with the problems of high inflation rates which meant a rise in the cost of production etc for companies or businesses under his care.

4 0
3 years ago
On March 1, 2018, Shipley Resources entered into an agreement with the state of Alaska to obtain the rights to operate a mineral
N76 [4]

Answer:

B) $20,697.

Explanation:

For computing the accretion expense, first we have to determine the present value which is shown below:

Present value would be

= Annual cash flows × PVIF factor for five years at 10%

where,

Annual cash flows would be

= Probability × cash outflows + Probability × cash outflows + Probability × cash outflows

= 25% × $300,000 + 50% × $400,000 + 25% × $500,000

= $75,000 + $200,000 + $125,000

= $400,000

And, the PVIF would be 0.62092. Refer to the PVIF table

So, the present value would be

= $400,000 ×  0.62092

= $248,368

Now the accretion expense would be

= $248,368 × 10% × 10 months ÷ 12 months

= $20,697

The 10 months are computed from March 1 to December 31 and we assume the books are closed on December 31

4 0
2 years ago
A manufacturing firm has an annual demand of 300,000 units. Using its current operation, the firm pays $800,000 in annual fixed
Elodia [21]

Answer:

It is cheaper to make the units in-house by $300,000.-

Explanation:

<u>First, we need to calculate the total avoidable production costs of making 300,000 units:</u>

Total variable cost= 300,000*15= $4,500,000

Total avoidable fixed cost= 800,000 - 200,000= $600,000

Total production cost= $5,100,000

<u>Now, the total differential cost of buying:</u>

<u></u>

Cost of buying= 300,000*18= $5,400,000

It is cheaper to make the units in-house.

5 0
3 years ago
What is a motive? It’s for finance
CaHeK987 [17]

A motive is a drive to do something.

8 0
3 years ago
Read 2 more answers
Of all customers purchasing automatic garage door openers, 75% purchase chain-driven model. Let X = the number among the next 15
KIM [24]

Answer:

         P(X=x)=C(15,x)\cdot(0.75)^x\cdot(0.25)^{(15-x)}

Explanation:

The <em>probability mass function</em> (<em>PMF</em>), or <em>frequency function</em>, is the function that gives the probabilities that a <em>discrete random variable</em> take some values.

In this problem, it is requested the frequency function (PMF) for the <em>number of purchasers, among the next 15, who select a chain-driven model</em>.

Then , you need to find, the function that gives P(X=0), P(X=1), P(X=2), P(X=3), . . . up to P(X=15).

Such as any function, the frequency  function can be presented as a formula, as a table, or as a graph.

Note that the statement represents a binomial disbribution in which success is that a customer select a chain-driven model and the fail is that a cusotmer does not select a chain-driven model.

The binomial probability for X = the number among the 15 purchasers who select the chain-driven model is given by the formula:

           P(X=x)=C(n,x)\cdot(p)^x\cdot(1-p)^{(n-x)}

Where:

  •  C(n,x)=\dfrac{n!}{x!(n-x)!}
  •   n is the number of times the experiment is performed: 15 in our problem
  • p is the probability of succes: 0.75 in our problem
  • 1-p is the probability of fail: 0.25 in our problem

Then, substitute:

           P(X=x)=C(15,x)\cdot(0.75)^x\cdot(0.25)^{(15-x)}

That is the frequency function.

If you want to give it as a table you must find P(X=1), P(X=2), P(X=3), . . . up to P(X=15) using that function. That is not part of the question.

6 0
2 years ago
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