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2 years ago

The nth term of the GP is (-1)^n(2)^n.

Business

1 answer:

Bingel [31]2 years ago

5 0

Answer:

-2, 4 and -8

Explanation:

Given the nth term of a GP expressed as;

$a_n = (-1)^n(2)^n$

When n = 1

$a_1 = (-1)^1(2)^1\\a_1 = -1 * 2\\a_1 = -2\\$

when n = 2

$a_2 = (-1)^2(2)^2\\a_2 = 1 * 4\\a_2 = 4\\$

when n = 3

$a_3 = (-1)^3(2)^3\\a_3 = -1 * 8\\a_3 = -8\\$

Hence the first three terms of the sequence are -2, 4 and -8

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Answer:

Explanation:

Giving the following information:

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3 years ago

Which of the following statements is true of control? Control through rules, procedures, and budgets is generally not very costl

Roman55 [17]

Answer:

The second one

Explanation:

Control through rules and budgets can lead to rigidity and loss of creativity in an organization in a way that it limits change. When all available funds are allocated to specific operational budgets, it may be impossible to procure additional funds, when an opportunity arises elsewhere. Some organizations are therefore working in a way to back their budgeting systems.

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3 years ago

Your company has a cost of capital equal to 10%. If the following projects are mutually exclusive, and you only have the informa

Elena-2011 [213]

Answer:

The project to accept is:

e. E

Explanation:

a) Data and Calculations:

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Mutually Exclusive Projects:

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IRR 18% 20% 20% 12%

NPV (Millions) $40 $75 $35 $100

b) Project E should be preferred over all the other projects. It has the highest net present value (NPV) and its internal rate of return (IRR) is above the company's cost of capital. It surpasses projects A, B, and C in financial performance terms using time-value of money analysis.

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3 years ago

An approach of open communication and collaborative decision making suggests which type of leadership

frez [133]

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3 years ago

Universal Laser, Inc., just paid a dividend of $3.10 on its stock. The growth rate in dividends is expected to be a constant 6 p

Vadim26 [7]

Answer:

Ans. The current price of the stock is $56.82

Explanation:

Hi, well, the problem here is that we have different discount rates, in other words the required rate of return for the stock changes several times, therefore we are going to break this problem in 3 parts, or bring to present value all the cash flows in 3 steps. Let´s start with the value of the dividends.

We have to use the following formula.

$Dn=D_{(n-1)} *(1+g)$

Where, D(n-1) is last dividend and Dn is the dividend that we are looking for, for example, D1 = 3.10*(1+0.06)=3.29, D2=3.29*(1+0.06)=3.48, and so forth. The amount to pay on dividends per share is,

D1=3.29; D2=3.48; D3=3.69; D4=3.91; D5=4.15; D6=4.40; D(7)=4.66

Since the first 3 years are to be discounted at a 15%, this is how the formula should look like.

$PV(1)=\frac{D1}{(1+r(1))^{1} } +\frac{D2}{(1+r(1))^{2} } +\frac{D3}{(1+r(1))^{3} }$

$PV(1)=\frac{3.29}{(1+0.15)^{1} } +\frac{3.48}{(1+0.15)^{2} } +\frac{3.69}{(1+0.15)^{3} }=7.92$

Now, for the second part, we have to bring all cash flows to year 3 at r(2)=13% and then bring it to present value at r(1)=15%. This is because we have 2 different discount rates, this is as follows.

$PV(2)=(\frac{D4}{(1+r(2))^{1} } +\frac{D5}{(1+r(2))^{2} } +\frac{D6}{(1+r(2))^{3} })*\frac{1}{((1+r(1)^{3} }$

$PV(2)=(\frac{3.91}{(1+0.13)^{1} } +\frac{4.15}{(1+0.13)^{2} } +\frac{4.40}{(1+0.13)^{3} })*\frac{1}{(1+0.15)^{3} } =6.42$

Finally, we need to bring all the future cash flows from year 7 and beyond, notice that we need to use the return rate r(3) to bring everything to year 6, then we have to bring it to year 3 and then to present value, everything as follows.

$PV(3)=(\frac{D7}{(r(3)-g)} )*(\frac{1}{(1+r(2))^{3} } )*(\frac{1}{(1+r(1))^{3} } )$

$PV(3)=(\frac{4.66}{(0.11-0.06)} )*(\frac{1}{(1+0.13)^{3} } )*(\frac{1}{(1+0.15)^{3} } )=42.48$

So, the price of the stock is PV(1) + PV(2) + PV(3), or:

$Price=7.92+6.42+42.48=56.82$

Price= $56.82/share

Best of luck.

3 0

3 years ago