Answer: BP = BD(WD) + BE(WE)
1 = 0.86(1-WE) + 1.39WE
1 = 0.86-0.86WE + 1.39WE
1 = 0.86 + 0.53WE
-0.53WE = -0.14
0.53WE = 0.14
WE = 0.14/0.53
WE = 0.2641509434
WD = 1 - WE
WD = 1 - 0.2641509434
WD = 0.7358490566
The dollar amount of investment in stock D = 0.7358490566 x $215,000
= $158,207.54
Explanation: The beta of the portfolio is 1, which corresponds to the beta of the market. The beta of the portfolio equals beta of each stock multiplied by the percentage of fund invested in each stock(weight). The weight of stock D is equal to 1 - weight of stock E. Therefore, we need to make weight of stock E the subject of the formula by solving the problem mathematically and collecting the like terms. The weight of stock E is 0.2641509434. The weight of stock E will be subtracted from 1 so as to obtain the weight of stock D, which is 0.7358490566. The dollar amount of stock D equal to $215,000 multiplied by 0.7358490566, which is $158,207.54.
Answer:
If Jenny doesn’t earn any interest on her savings and wants to perfectly smooth consumption across her life, how much will she consume every year?
Jenny's total income during her life = income as tax analyst ($60,000 x 10) + income as PhD student ($12,000 x 5) + income as Art Director (35 x $95,000) = $3,985,000
she generated income during 50 years and expects to live 20 more, so in order to perfectly smooth consumption across her life, she must divide her total life income by 70 years = $3,985,000 / 70 years = $56,928.57 per year
What might prevent her from perfectly smoothing consumption?
First of all, besides inflation, you also earn interest on your savings. That is why 401k and other retirement accounts work so well (the magic of compound interest). Even if inflation and interests didn't exist, you cannot know exactly what you are going to earn in the future and for how many years. In this case, she earned $60,000 for 10 years, but then earned only $12,000 during 5 years. If she really wanted to smooth her consumption, she would have needed to get a loan because her savings during the first 10 years wouldn't be enough.
Answer:
0.60
Explanation:
The midpoint formula is used to calculate elasticity by using average percentage in both price and quantity.
The formula is given below:
Percentage change in quantity =<u> (Q2 -Q1) </u> x 100
(Q2 + Q1) / 2
Percentage change in price = <u> (P2 -P1) </u> x 100
(P2 + P1) / 2
Elasticity =<u> Percentage change in price__</u>
Percentage change in quantity
Inserting the data:
Percentage change in quantity =<u> (30 -20) </u> x 100 = <u>10</u> x 100 = 40%
(30 + 20) /2 25
Percentage change in price = <u>($20 - $10)</u> x 100 = <u>10</u> x 100 = 66.6%
($20 + $10) /2 15
Elasticity of supply = <u>40%</u>
66.6%
= 0.60
Answer:
c. A credit to Cash of $272.75.
Explanation:
These transactions can be explained with the help of T- Account .
<h2><u> Cash </u></h2><h3><u>Debit Credit </u></h3>
Bal $ 500
Freight $61
Shipping
Charges $ 85
Supplies $ 50
Donation $ 69
Suspense 7.75
<u>Fund $ 227.25 </u>
Fund $ 227.25
<u> Reimbursement </u><u> $272.75</u>
<u> $ 500 </u>
<u />
<em><u>As there is shortage of $ 272.25 in the amount of $ 500 the petty cash will be reimbursed with this amount.</u></em>
<em><u>An amount of $ 7.75 is short which is dealt in suspense account and reimbursed with the amount falling short.</u></em>
Answer:
d. Applying a blanket gross profit rate to merchandise that have wide varying rates of gross profit
Explanation:
To know what problem could arise fro mthis method, we must understand the method:
ending inventory = cost available for sales - sales x (1- gross profit)
being cost available for sales = beginning invnetory + purchases
a) if a portion of inventory is destroyed, then we subtract it from the cost available for sales and we should be okay.
b) the amount of purchase is being considered so it will not produce a distorsion
c) then beginning invnetory equals to zero in the formula of cost availalbe and we are also okay
d) here is the problem, if there is a wide array of gross profit we could do an average but it will lead to distorsion if the sales are not in the expected weight.
