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You are a small money manager managing $9,000,000 in assets. Your investment portfolio consists of 10% T-bills (with an estimated beta = 0), 15% bonds (with an estimated beta = 0.70), 35% mid-cap stocks (with an estimated beta = 1.00), and 40% growth stocks (with an estimated beta = 1.40).

The risk-free rate, rRF, is 3.5%. The market risk premium, (rM - rRF), is 5.0%. What is the required rate of return on your investment portfolio? (10 points)

If you switch $450,000 out of T-bills and invest $300,000 of it in growth stocks and $150,000 of it in mid-cap stocks, what would be the required rate of return on your portfolio? (10 points

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Sixta Kovacek
Sixta KovacekLv2
28 Sep 2019

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You are a small money manager managing $9,000,000 in assets. Your investment portfolio consists of 10% T-bills (with an estimated beta = 0), 15% bonds (with an estimated beta = 0.70), 35% mid-cap stocks (with an estimated beta = 1.00), and 40% growth stocks (with an estimated beta = 1.40).

The risk-free rate, rRF, is 3.5%. The market risk premium, (rM - rRF), is 5.0%. What is the required rate of return on your investment portfolio? (10 points)

If you switch $450,000 out of T-bills and invest $300,000 of it in growth stocks and $150,000 of it in mid-cap stocks, what would be the required rate of return on your portfolio? (10 points

Brandon is an analyst at a wealth management firm. One of his clients holds a $10,000 portfolio that consists of four stocks. The investment allocation in the portfolio along with the contribution of risk from each stock is given in the following table.
 
Stock Investment Allocation Beta Standard deviation
Atteric Inc.(AI) 35% 0.600 53.00%
Arthur Trust Inc. (AT) 20% 1.500 57.00%
Li Corp.(LC) 15% 1.200 60.00%
Baque Co.(BC) 30% 0.300 64.00%
 
Brandon calculated the portfolio's beta as 0.780 and the portfolio's expected return as 8.29%.
Brandon thinks it will be a good idea to reallocate the funds in his client's portfolio. He recommends replacing Atteric Inc.'s shares with the same amount in additional shares of Baque Co. The risk-free rate is 4%, and the market risk premium is 5.50% According to Brandon's recommendation, assuming that the market is in equilibrium, how much will the portfolio's required return change? 
 
a. 0.72 percentage points 
b. 0.67 percentage points 
c. 0.58 percentage points 
d. 0.45 percentage points
 

Analysts' estimates on expected returns from equity investments are based on several factors. These estimations also often include subjective and judgmental factors because different analysts interpret data in different ways.

Suppose based on the earnings consensus of stock analysts, Brandon expects a return of 9.21% from the portfolio with the new weights. Does he think that the revised portfolio, based on the changes he recommended, is undervalued, overvalued, or fairly valued?

O Fairy valued

O Undervalued

O Overvalued

Suppose instead of replacing Atteric Inc.'s stock with Transfer Fuels Co.'s stock, Brandon considers replacing Atteric Inc.'s stock with the equal dollar allocation to shares of Company X's stock that has a higher beta than Atteric Inc. If everything else remains constant, the required return from the portfolio would

O increase

O decrease.

 

 

Hi guys could someone help me and explain in detail the two fundamental principles of investments – the risk/return tradeoff and diversification. Also, describe how asset allocation and the correlation of various securities within asset classes impact the riskiness of an investor’s portfolio.

I found an answer but it seems to me very long and not sure about it so can you help me out guys

ANS:

Risk /Return Tradeoff

Risk, return and liquidity are three dimensions of investment decision. Risk/Return trade off considers two dimension ie risk and return. As risk of an investment increases , its expected return will decrease. Risk is measured by volatility of return which can be statistically obtained by standard deviation of return. Higher the standard deviation, higher will be volatility of return and higher the risk

Risk can be also measured as a relative risk compared to the market. This is measured by stock beta with reference to a market index. Higher the beta, higher the value of stock Beta, higher will be the risk .

Investors seeking higher return will need to take higher risks.

Treasury bonds are almost risk free assets. This has the lowest rate of return. Stocks have higher risk , hence have higher expected return. High beta stocks will have higher risk and higher returns.

An investor should understand his risk taking ability and will have to make a trade off between risk and return depending on his risk apetite.

Diversification:

There is a saying, do not put all your eggs in one basket. The reason is that it has higher risk if all eggs are in one basket. If the eggs are distributed in different basket, risk of loss decreases.

Same principle is applied in investment. Diversification reduces risk.

If one invests in different classes of assets like bonds, stock, commodities and properties –his risk is likely to reduce. Reduction in return in one asset is likely to be compensated by return in other asset.

Within one class of asset also, there should be diversification to reduce risk.

For example one stock “A “may have expected return of 10% and standard deviation of 5%.This risk can be reduced by diversification in number of assets and the ratio of Risk/return can be decreased.

If we diversify and instead of investing 100% in stock A, we invest 60% in “A” and 40% in another stock “B” having expected return15% and standard deviation of 8%.assume the correlation between the two assets are 0.5

Portfolio return=wa*Ra+wb*Rb

Wa=Weight of asset A=0.6

Wb=Weight of asset B=0.4

Ra=Return of A=10%

Rb=Return of B=15%

Sa=Standard deviation of A=5%

Sb=Standard deviation of B=8%

Corr(a,b)=Correlation of A & B=0.2

Portfolio return=0.6*10+0.4*15=12%

Portfolio Variance=(wa^2)*(Sa^2)+(wb^2)*(Sb^2)+2wa*wb*Cov(a,b)

Cov(a,b)=Corr(a,b)*Sa*Sb=0.1*5*8=4

Portfolio Variance=(0.6^2)*(5^2)+(0.4^2)*(8^2)+2*0.6*0.8*4=23.08

Portfolio standard deviation=Square root of Variance=(23.08^0.5)=4.8%

The diversification has increased return and reduced risk

Stock A was giving 10% return with 5% standard deviation. With diversification of portfolio we have 12% return and 4.8% standard deviation. Risk return ratio is decreased.

It may be noted that, higher the correlation between assets in the portfolio, higher will be risk in terms of standard deviation. Hence it is better to diversify with uncorrelated assets.

Diversification reduces unsystematic risk,but it cannot reduce systematic risk of overall market or economy

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