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klasskru [66]
3 years ago
11

Consider two perfectly negatively correlated risky securities, K and L. K has an expected rate of return of 12% and a standard d

eviation of 17%. L has an expected rate of return of 9% and a standard deviation of 11%. The risk-free portfolio that can be formed with the two securities will earn _____ rate of return.
Business
1 answer:
taurus [48]3 years ago
3 0

Answer:

We need the compute the weight of K and L

Weight of K = Standard deviation of security L / Standard deviation of security K + Standard deviation of security L

Weight of K = 11% / 17% + 11%

Weight of K = 11% / 28%

Weight of K = 0.39286

Hence, the weight of security K is 0.39286

Weight of L = Standard deviation of security K / Standard deviation of security L + Standard deviation of security K

Weight of L = 17% / 11% + 17%

Weight of L = 17% / 28%

Weight of L = 0.607143

Hence, the weight of security L is 0.607143

Now we compute the rate of return risk-free portfolio as follow:

Return of portfolio = [Return of K * Weight of K] + [Return of L * Weight of L]

Return of portfolio = [12% * 0.39286] + [9% * 0.607143]

Return of portfolio = 0.0471432 + 0.05464287

Return of portfolio = 0.10178607

Return of portfolio = 10.18%

Hence, the rate of return of risk-free portfolio is 10.18%

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What are examples of withdrawals from the circular flow of income? Cheak all that apply.
zalisa [80]

Answer:

1. Sharp increase in taxes affects middle-class families

2. A sports-apparel company cuts jobs as a result of slow sales

3. A fast food chain goes out of business and shuts down all of its restaurants.

Explanation:

The circular flow of income shows the flow of money from economic activities between households and firms. Households receive payments for their services in the form of wages and salaries and use this money to purchase goods and services for consumption from the firms. The firms can use their sales revenue and profits to pay for wages and salaries. This continues in a cycle.

There are injections into and withdrawals out of the circular flow of income. Withdrawals (leakages) can occur in the form of savings, taxes and imports.

1. When there is a sharp increase in taxes, people spend more of their income on paying their taxes. Hence, they have little remaining of disposable income to spend on consumption.

2. When a sports-apparel company cuts down on jobs, many people will lose their salaries or wages. Hence, they would be unable to spend on goods and services produced by the firm. This in turn means lower sales revenue for the firm.

3. As a fast food chain shuts down its operation, a lot of suppliers will lose their sales. At the same time, employees would lose their income. Hence, it is a form of leakage from the circular flow of income.

6 0
3 years ago
The value of χ2α in a particular situation depends on
scoundrel [369]

Answer:

The number of degrees of freedom and the right-hand tail area α.

Explanation:

Chi Square Distribution  

α  is Significance level  

If the p-value of hypothesis test <  α  , then we reject null hypothesis of the test.

So,  α  is basically a critical p-value which makes a rejection region in the right tail

Now, the statistic  χ 2   also depends on the degrees of freedom

So, The value of χ2α in a particular situation depends on

the number of degrees of freedom and the right-hand tail area α.

6 0
4 years ago
Imagine that you're a dental hygienist. While cleaning a client's teeth you ask what flavor toothpaste to use and they say "oran
Snowcat [4.5K]

Answer:

A letter.

Explanation:

7 0
3 years ago
If the interest rate is 7.5 percent, then what is the present value of $4,000 to be received in 6 years?
AlekseyPX

Answer:

d. $2,591.85

Explanation:

To solve we can use the present value formula defined by

PV=\frac{FV}{(1+r)^t}

where PV is present value, FV is future value, t is time and r is the interest rate , we can replace the values given in the question. Where 4000 is the future value, the time is t=6 years, and the interest rate is r=0.075, so we get

PV=\frac{4000}{(1+0.075)^6}=2,591.85

4 0
4 years ago
Suppose a relative has promised to give you $1,000 as a wedding gift the day you get engaged. Assuming a constant interest rate
Vlada [557]

Answer:

Date Received       Present Value      Value in 1 Year    Value In 2 Years

today                       $1,000                  $1,050                 $1,102.50          

in 1 year                   $952.38               $1,000                 $1,050

in 2 years                $907.03               $952.38               $1,000      

The present value of the gift is <u>LOWER (BY $45.35)</u> if you get engaged in two years than it is if you get engaged in one year.

Explanation:

to determine future value:

future value = present value x (1 + interest rate)ⁿ

to determine present value:

present value = future value / (1 + interest rate)ⁿ

7 0
3 years ago
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