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3 years ago

McCann Co. has identified an investment project with the following cash flows.

Business

2 answers:

Vlada [557]3 years ago

8 0

Answer:

Present values @ 11%

Years Present Value

1 $775

2 $982

3 $1075

4 $1070

Present values @ 16%

Years Present Value

1 $741

2 $899

3 $942

4 $897

Present values @ 30%

Years Present Value

1 $662

2 $716

3 $669

4 $569

Explanation:

Cash flows that will be received in future do not have same value as today, because if received today there is an opportunity to reinvest it and get some return. For this reason we calculate the present value of future cash flow.

Discounting method is used to calculate the present values. using following formula of discounting we calculate the PV.

PV = FV / ( 1 + r )^n

Present values @ 11%

Years Cash Flows Discounting Present Value

1 $860 860 x ( 1 + 11%)^-1 $775

2 $1,210 1,210 x ( 1 + 11%)^-2 $982

3 $1,470 1,470 x ( 1 + 11%)^-3 $1075

4 $1,625 1,625 x ( 1 + 11%)^-4 $1070

Present values @ 16%

Years Cash Flows Discounting Present Value

1 $860 860 x ( 1 + 16%)^-1 $741

2 $1,210 1,210 x ( 1 + 16%)^-2 $899

3 $1,470 1,470 x ( 1 + 16%)^-3 $942

4 $1,625 1,625 x ( 1 + 16%)^-4 $897

Present values @ 30%

Years Cash Flows Discounting Present Value

1 $860 860 x ( 1 + 30%)^-1 $662

2 $1,210 1,210 x ( 1 + 30%)^-2 $716

3 $1,470 1,470 x ( 1 + 30%)^-3 $669

4 $1,625 1,625 x ( 1 + 30%)^-4 $569

As the discount rate increase the Present value of the cash flows decreases because of discounting factor.

Ugo [173]3 years ago

7 0

Answer:

The present value at 11% is $3,902.13,$3,479.85 at 16% and $2,615.57 at 30%

Explanation:

The present value formula is given as :

PV=FV/(1+r)^n

Where FV is the future value of cash flows such as the ones given in the question

r is the rate of return at 11%,16% and 30%

n is the applicable time horizon relevant to each of the cash flow.

Find attached spreadsheet for detailed calculations.

Download xlsx

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The (annual) expected return and standard deviation of returns for 2 assets are as follows: Asset A Asset B E[r] 10% 20% SD[r] 3

polet [3.4K]

Answer:

Part A

(i) Weight(A) = 0.80 , Weight(B) = 0.20

ER(portfolio) = { ER(A) * Weight(A) } + { ER(B) * Weight(B) }

= { 10 * 0.80 } + { 20 * 0.20 }

= 12%

SD(portfolio) = { SD(A)^2 * W(A)^2 + SD(B)^2 * W(B)^2 + 2*SD(A) * SD(B) * W(A) * W(B) * CORR }^1/2

= { 900*0.64 + 2500*0.04 + 2*30*50*0.8*0.2*0.15}^1/2

= {748}^1/2

= 27.35%

(ii) Weight(A) = 0.50 , Weight(B) = 0.50

ER(portfolio) = { ER(A) * Weight(A) } + { ER(B) * Weight(B) }

= { 10 * 0.50 } + { 20 * 0.50 }

= 15%

SD(portfolio) = { SD(A)^2 * W(A)^2 + SD(B)^2 * W(B)^2 + 2*SD(A) * SD(B) * W(A) * W(B) * CORR }^1/2

= { 900*0.25 + 2500*0.25 + 2*30*50*0.5*0.5*0.15}^1/2

= {917.5}^1/2

= 30.29 %

(iii) Weight(A) = 0.20 , Weight(B) = 0.80

ER(portfolio) = { ER(A) * Weight(A) } + { ER(B) * Weight(B) }

= { 10 * 0.20 } + { 20 * 0.80 }

= 18 %

SD(portfolio) = { SD(A)^2 * W(A)^2 + SD(B)^2 * W(B)^2 + 2*SD(A) * SD(B) * W(A) * W(B) * CORR }^1/2

= { 900*0.04 + 2500*0.64 + 2*30*50*0.2*0.8*0.15}^1/2

= {1708}^1/2

= 41.33 %

Part B

Let Weight(A) be x, and Weight(B) be (1-x)

Solving the ER(portfolio) Equation :

ER(portfolio) = { ER(A) * Weight(A) } + { ER(B) * Weight(B) }

25 = {10 * x } + {20 * (1 - x) }

25 = 10x + 20 - 20x

25 - 20 = -10x

x = - 0.5

Weight (A) = - 0.5 {its Negative which means Short Selling of Stock A}

Weight (B) = 1 - (-0.5) = 1.5

Cross-Proof

ER (portfolio) = { ER(A) * Weight(A) } + { ER(B) * Weight(B) }

= { 10 * -0.5 } + { 20 * 1.5 }

= { - 5 } + { 30 }

= 25% . Therefore, our Weights are Correct

Calculation of SD (portfolio)

SD(portfolio) = { SD(A)^2 * W(A)^2 + SD(B)^2 * W(B)^2 + 2*SD(A) * SD(B) * W(A) * W(B) * CORR }^1/2

= { 900*0.25 + 2500*2.25 + 2*30*50*-0.5*1.5*0.15}^1/2

= { 225 + 5625 - 337.5 }^1/2

= {5512.5}1/2

= 74.2 %

3 0

3 years ago

Organic Laboratories allocates research and development costs to its three research facilities based on each facility's total an

spayn [35]

Answer:

$21,000,000

Explanation:

Ratio is used in allocating the research and development cost

This is the expression of relationship between two or more data showing the number of times one data contains or is contained in another data

Total research and development cost = $60,000,000

Revenue

Kentucky = $56,000,000

Arizona -= $ 100,000,000

Illinois = $84,000,000

Total = $240,000,000

Illinois allocation of research and development cost=

84,000,000/240,000,000*60,000,000 =$21,000,000

3 0

3 years ago

True or False: If Kevin's Fire Engines were a competitive firm instead and $160,000 were the market price for an engine, decreas

Feliz [49]

Answer:

False

Explanation:

Kevin should not rise the level of production from 5 to 6 as the impact of the price dominates this situation

Also the market is not depend on the Kevin fire engines because of the competitive market

Plus the supply and demand relation is inverse and not depend on the change in price level in a competitive market

If the price is decreased from $160,000 to $120,000 so the quantity of the production would not be impacted

In addition to this, the total revenue could be impacted when there is a reduction in the price that produced more sale due to this there is a slightly change in upward and downward

Also the change would never be in the similar production as compare to the change in price

Therefore the given statement is false

8 0

3 years ago

Sam and Joan made an offer of $250,000 asking the seller to pay all closing costs. They will put 10% down and pay one discount p

Archy [21]

Answer:

$27,500

Explanation:

Discount points are also called mortgage points and are fees paid as prepaid interest rate on a mortgage property.

One discount point is equivalent to 1% of the loan amount.

In the given scenario a down payment of 10% was made.

Also they are pay one discount point to close.

So total down payment to be made is 10% + 1% = 11%

Amount is cash for closing = 0.11 * 250,000 = $27,500

3 0

2 years ago

What will be the depreciation, via the straight line method, if the cost of a plant is $43,250, estimated disposal value is $3,2

Alinara [238K]

Answer:

depreciation expense per year 8,000

Explanation:

The first step, is to calculate the depreciable amount for the asset:

cost - salvage value = amount subject to depreciation

43,250 - 3,250 = 40,000 = depreciable amount

Then, we calculate the depreciation per year:

depreciable amount/ useful life = depreciation per year

40,000/5 = 8,000

In some particular cases, the first year the asset enter the accounting it could be for a period of half the accounting period, so only half-year depreciation is appliedon the first year.

7 0

2 years ago