1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marat540 [252]
3 years ago
11

Suppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows: S

tock Expected Return Standard Deviation A 12 % 3 % B 19 9 Correlation = –1 Suppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) (Do not round intermediate calculations. Round your answer to 3 decimal places.)
Business
1 answer:
Tomtit [17]3 years ago
4 0

Answer:

0.135 or 13.5%

Explanation:

Given in the question are the following:

ERA = Expected return of Stock A = 12% = 0.12

ERB = Expected return of Stock B = 19% = 0.19

SDA = Standard deviation of Stock A = 3% = 0.03

SDB = Standard deviation of Stock B = 9% = 0.09

CAB = Correlation between A and B = -1

The correlation of -1 between Stock A and Stock B indicates that there a perfect negative correlation between the two stocks. Therefore, we can create a risk-free portfolio which its rate of return will be the risk-free rate in equilibrium.  

If we let wA denotes the proportion of investment in Stock A, and let wB denotes the proportion of investment in Stock B, the proportion of this portfolio can be obtained by setting its standard deviation equal to zero. Since there is a perfect negative correlation, the standard deviation of this portfolio (SDP) can be given as follows:

Absolute value [(wA × SDA) – (wB × SDB)] = SDP …………………………………….. (1)

Note that wB = (1 – wA) since the sum of the weight must be equal to 1.

Substituting all the relevant values into equation and set SDP = 0, we have  

[(0.03 × wA) − (0.11 × (1 - wA))] = 0

0.03wA – 0.11 + 0.11wA = 0

0.03wA + 0.11wA = 0.11

0.14wA = 0.11

wA = 0.11 ÷ 0.14 = 0.785714285714286

Since wB = 1 –wA, therefore:

wB = 1 - 0.785714285714286 = 0.214285714285714

The expected rate of return of the portfolio (ERP) can be estimated as follows:

ERP = (wA × ERA) + (wB × ERB)  ................................. (2)

Substituting all the relevant values into equation (2), we have:

ERP = (0.785714285714286 × 0.12) + (0.214285714285714 × 0.19)  

       = 0.0942857142857143 + 0.0407142857142857

ERP = 0.135 or 13.5%

Therefore, the value of the risk-free rate must be 13.5%.

You might be interested in
Bessie started a smell busiess with her brother . After a year, they made a good profit. they than shared the profit equally as
ratelena [41]

Answer:

sorry

Explanation:

there is no answer

7 0
2 years ago
For a business to continue, money must be available to finance future growth. <br> t or f
skelet666 [1.2K]
This is true!
Hope this helps. :)
3 0
3 years ago
Read 2 more answers
Income statement data for Huffman Pharmaceuticals are provided below. Income Statements 12/31/201712/31/2016 Sales Revenue$598,0
koban [17]

Answer:

Huffman Pharmaceuticals

The percentage that should be assigned to Gross Profit, using trend analysis, is:

= 42%.

Explanation:

a) Data and Calculations:

Income Statements           12/31/2017         12/31/2016

Sales Revenue                  $598,000          $724,000

Cost of Goods Sold             337,000            427,000

Gross Profit                          261,000            297,000

Operating Expenses            137,000             146,000

Operating Income               124,000              151,000

Other Income (Expense)      60,000              23,000

Income before Tax              184,000             174,000

Income Tax Expense             71,000              76,000

Net Income                         $113,000           $98,000

Income Statements           12/31/2017         12/31/2016

Sales Revenue                  $598,000          $724,000

Cost of Goods Sold             337,000            427,000

Gross Profit                          261,000            297,000

Ratio of Gross profit to

 Sales Revenue

2017 = $261,000/$598,000 * 100 = 43.65% =  44%

2016 = $297,000/$724,000 * 100 = 41%

Average Gross profit ratio for the two years = 42.5% (44 + 41)/2.

b) Huffman's trend analysis is the use of its past financial performance indices to predict its future financial performances.  Past performances are expressed in percentages, forming the basis for predicting and comparing future performances of an entity.

6 0
2 years ago
molen inc. has an outstanding issue of perpetual preferred stock with an annual dividend of $4.00 per share. if the required ret
crimeas [40]

The price at which the stock should sell is $61.54.

Using this formula

Stock selling price=Preferred stock annual dividend/Preferred stock required return

Where:

Preferred stock annual dividend=$4.00 per share

Preferred stock required return=6.5% or  0.065

Let plug in the formula

Stock selling price=$4.00/0.065

Stock selling price=$61.538

Stock selling price=$61.54 (Approximately)

Inconclusion the price at which the stock should sell is $61.54.

Learn more here:

brainly.com/question/15561609

7 0
2 years ago
A supermarket places its store brand of blackberry jam priced at $5 per jar in the fruit preserves aisle, alongside the jam jars
soldier1979 [14.2K]
Raising the prices of their jam after people start buying it because they will want that jam no matter the price if they even relize it has gotten more expensive
6 0
3 years ago
Other questions:
  • g Two companies market new batteries targeted at owners of personal music players. Dura Tunes claims a mean battery life of 11 h
    12·1 answer
  • Most of the property in command economies is owned by who​
    7·1 answer
  • The company shipped merchandise valued at $100,000 F.O.B. destination on December 28, Year 3, and recorded the sale and relief o
    10·1 answer
  • A registered representative who engages in private securities transaction is required to do all of the following except:[A] give
    15·1 answer
  • our Grandfather wants to establish a scholarship in his father’s name at a local university and had stipulated that you will adm
    8·1 answer
  • a. If the interest rate on Treasury bills is 5% and the expected return on the market portfolio is 15%, what is the expected ret
    14·1 answer
  • Fun Stuff Manufacturing produces frisbees using a three-step sequential process that includes molding, coloring and finishing. W
    9·1 answer
  • What are the two factors you should consider when choosing which target date fund is best for you?
    8·1 answer
  • The purchase of merchandise, the sale of goods and services to customers, and expenditures to operate the business are all repor
    12·1 answer
  • 3
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!