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What is Jensen's alpha of a portfolio comprised of 45 percent portfolio A and 55 percent of portfolio B? Portfolio Average Retur

inn [45]

Answer:

The Jensen's alpha of a portfolio comprised of 45 percent portfolio A and 55 percent of portfolio B = 2.04 %

Explanation:

<em>Solution</em>

Given that:

Now,

The Jensen’s alpha of a Portfolio is computed by applying the formula below:

Jensen's alpha = Portfolio Return − [Risk Free Rate of Return + ( Portfolio Beta * (Market Rate of Return − Risk Free Rate of Return ) ) ]

For the information given in the question we have the following,

The Risk free rate of return = 3. 1%

In order to find the Jensen’s alpha we have to first get the following from the information given in the question :

1. Portfolio Return

2. Portfolio Beta

3.Market Rate of Return

Thus,

(A)Calculation of Portfolio Return :

The formula for calculation of Portfolio Return is given as:

E(RP) = ( RA * WA )+ ( RB * WB )

Where

E(RP) = Portfolio Return

RA = Average Return of Portfolio A ; WA = Weight of Investment in Portfolio A

RB = Average Return of Portfolio B ; WB = Weight of Investment in Portfolio B

For the information given in the question we have the following:

RA = 18.9 %, WA = 45 % = 0.45, RB = 13.2 %, WB = 55 % = 0.55

By applying the values in the formula we have

= ( 18.9 % * 0.45 ) + ( 13.2 % * 0.55 )

= 8.5050 % + 7.2600 % = 15.7650 %

(B). Calculation of Portfolio Beta:

Now,

The formula for calculating the Portfolio Beta is

ΒP = [ ( WA * βA ) + ( WB * βB ) ]

Where,

βP = Portfolio Beta

WA = Weight of Investment in Portfolio A = 45 % = 0.45 ; βA = Beta of Portfolio A = 1.92

WB = Weight of Investment in Portfolio B = 55 % = 0.55 ; βB = Beta of Portfolio B = 1.27

By Applying the above vales in the formula we have

= ( 0.45 * 1.92 ) + ( 0.55 * 1.27 )

= 0.8640 + 0.6985

= 1.5625

(C). Calculation of Market rate of return :

Now,

The Market Risk Premium = Market rate of return - Risk free rate

From the Information given in the Question we have

The Market Risk Premium = 6.8 %

Risk free rate = 3. 1 %

Market rate of return = To find

Then

By applying the above information in the Market Risk Premium formula we have

6.8 % = Market rate of Return - 3.1 %

Thus Market rate of return = 6.8 % + 3.1 % = 9.9 %

So,

From the following information, we gave

Risk free rate of return = 3.1% ; Portfolio Return = 15.7650 %

The Portfolio Beta = 1.5625 ; Market Rate of Return = 9.9 %

Now

Applying the above values in the Jensen’s Alpha formula we have

The Jensen's alpha = Portfolio Return − [Risk Free Rate of Return + ( Portfolio Beta * (Market Rate of Return − Risk Free Rate of Return )) ]

= 15.7650 % - [ 3.1 % + ( 1.5625 * ( 9.9 % - 3.1 % ) ) ]

= 15.7650 % - [ 3.1 % + ( 1.5625 * 6.8 % ) ]

= 15.7650 % - [ 3.1 % + 10.6250 % ]

= 15.7650 % - 13.7250 %

= 2.0400 %

= 2.04 % ( when rounded off to two decimal places )

Therefore, the Jensen's alpha of a portfolio comprised of 45 percent portfolio A and 55 percent of portfolio B = 2.04 %

7 0

3 years ago

Another term for the cash-and-carry purchasing procedure is: Question 2 options: a) stockless purchasing b) forward buying c) fi

satela [25.4K]

Answer:

Will call purchasing

Explanation:

Cash and carry also known as "will call purchasing" or "carry trade" is a sales strategy or method of purchase in which a customer must pay for an item immediately and must take the item with them. It eradicates all forms of credit sales.

Cash and Carry involves paying for an item and taking it along with you. There is no space for future delivery and it doesn't include delivery cost in the price of an item.

Pickup can't be delayed to a later date.

5 0

3 years ago

Fill in the blanks: long term disability insurance costs about ____% of your income, which is helpful as long term disabilities

Elden [556K]

Long-term disability insurance costs about 60% of income which is helpful as long-term disabilities last on average about 65 years.

<h3>What do you mean by insurance?</h3>

Insurance is referred to as a contract where an individual receives financial protection against the losses of an insurance company.

Long-term disability insurance costs approximately 60% of the income and premiums are not guaranteed and can be canceled by the employer.

Therefore, long-term disability insurance costs about 60% of income which is helpful as long-term disabilities last on average about 65 years.

Learn more about Insurance here:

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5 0

2 years ago

Motor Sports, Inc., sues A-Z Speed. Motor Sports alleges that A-Z breached (failed to perform) a contract that required A-Z to s

Andre45 [30]

Answer:

Documents related to the contract

Explanation:

When a contract is made between parties they usually sign an agreement. The reason to sign an agreement is if one tries to breach the contract they can sue them with prove. In the above scenario, motor Sports Company has sued A-Z sports and alleges that A-Z sports have breached a contract. Under the rules governing discover, the court will permit motor sports to obtain the documents related to the contract.

4 0

3 years ago

An insurance company's projected loss ratio is 78.1 percent, and its loss adjustment expense ratio is 13.5 percent. it estimates

Kaylis [27]

<span>As P&C insurers sought higher yields on their investments to offset the underwriting losses, they held corporate debt rather than government debt for a higher credit risk exposure. However, declining interest rates over some of this period resulted in P&C insurers reinvesting their interest income at lower rates.The combined ratio = 77.5% + 12.9% + 16.0% = 106.40%. In order to be profitable, the yield oninvestments has to be greater than 6.40%.</span>

7 0

3 years ago