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Exam 29: Basic Financial Tools: a Review

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Question 1

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Stock A has an expected return of 12%,a beta of 1.2,and a standard deviation of 20%.Stock B also has a beta of 1.2,but its expected return is 10% and its standard deviation is 15%.Portfolio AB has $300,000 invested in Stock A and $100,000 invested in Stock B.The correlation between the two stocks' returns is zero (that is,r_A,B = 0) .Which of the following statements is CORRECT?

A) The stocks are not in equilibrium based on the CAPM; if A is valued correctly, then B is overvalued.
B) The stocks are not in equilibrium based on the CAPM; if A is valued correctly, then B is undervalued.
C) Portfolio AB's expected return is 11.0%.
D) Portfolio AB's beta is less than 1.2.
E) Portfolio AB's standard deviation is 17.5%.

F) A) and D)
G) A) and C)

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Question 2

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Which of the following statements is CORRECT?

A) The slope of the Security Market Line is beta.
B) Any stock with a negative beta must in theory have a negative required rate of return, provided r_RF is positive.
C) If a stock's beta doubles, its required rate of return must also double.
D) If a stock's returns are negatively correlated with returns on most other stocks, the stock's beta will be negative.
E) If a stock has a beta of to 1.0, its required rate of return will be unaffected by changes in the market risk premium.

F) A) and B)
G) A) and C)

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Question 3

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Even if the correlation between the returns on two securities is +1.0,if the securities are combined in the correct proportions,the resulting 2-asset portfolio will have less risk than either security held alone.

A bond has a $1,000 par value,makes annual interest payments of $100,has 5 years to maturity,cannot be called,and is not expected to default.The bond should sell at a premium if interest rates are below 10% and at a discount if interest rates are greater than 10%.

Which of the following statements is CORRECT,assuming stocks are in equilibrium?

DHF Company has a beta of 1.5 and is currently in equilibrium.The required rate of return on the stock is 12.00% versus a required return on an average stock of 10.00%.Now the required return on an average stock increases by 30.0% (not percentage points) .Neither betas nor the risk-free rate change.What would DHF's new required return be?

A stock's beta is more relevant as a measure of risk to an investor who holds only one stock than to an investor who holds a well-diversified portfolio.

Which of the following statements is CORRECT?

You sold your motorcycle and accepted a note with the following cash flow stream as your payment.What was the effective price you received for the car assuming an interest rate of 6.0%?

The Y-axis intercept of the SML represents the required return of a portfolio with a beta of zero,which is the risk-free rate.

You just deposited $2,500 in a bank account that pays a 4.0% nominal interest rate,compounded quarterly.If you also add another $5,000 to the account one year (4 quarters) from now and another $7,500 to the account two years (8 quarters) from now,how much will be in the account three years (12 quarters) from now?

If an investor buys enough stocks,he or she can,through diversification,eliminate all of the market risk inherent in owning stocks,but as a general rule it will not be possible to eliminate all diversifiable risk.

Stocks A,B,and C are similar in some respects: Each has an expected return of 10% and a standard deviation of 25%.Stocks A and B have returns that are independent of one another; i.e.,their correlation coefficient,r,equals zero.Stocks A and C have returns that are negatively correlated with one another; i.e.,r is less than 0.Portfolio AB is a portfolio with half of its money invested in Stock A and half in Stock B.Portfolio AC is a portfolio with half of its money invested in Stock A and half invested in Stock C.Which of the following statements is CORRECT?

Paul McLaren holds the following portfolio: $\begin{array} { c r r } \text { Stock } & \text { Investment } & \text { Beta } \\\hline \text { A } & \$ 150,000 & 1.40 \\\text { B } & 50,000 & 0.80 \\\text { C } & 100,000 & 1.00 \\\text { D } & 75,000 & 1.20 \\\text { Total } & \$ 375,000 &\end{array}$ Paul plans to sell Stock A and replace it with Stock E,which has a beta of 0.75.By how much will the portfolio beta change?

You borrowed $50,000 which you must repay in 10 years.You plan to make an initial deposit today,then make 9 more deposits at the beginning of each the next 9 years,but with the deposits increasing at the inflation rate.You expect to earn 5% on your funds,and you expect a 3% inflation rate.To the nearest dollar,how large must your initial deposit be to enable you to reach your $50,000 target?

If you plotted the returns on a given stock against those of the market,and if you found that the slope of the regression line was negative,the CAPM would indicate that the required rate of return on the stock should be greater than the risk-free rate for a well-diversified investor,assuming that the observed relationship is expected to continue into the future.

After receiving a reward for information leading to the arrest of a notorious criminal,you are considering investing it in an annuity that pays $5,000 at the end of each year for 20 years.You could earn 5% on your money in other investments with equal risk.What is the most you should pay for the annuity?

If D₁ = $1.50,g (which is constant) = 6.5%,and P₀ = $56,what is the stock's expected capital gains yield for the coming year?

Your bank offers a savings account that pays 3.5% interest,compounded annually.If you invest $1,000 in the account,then how much will it be worth at the end of 25 years?

Sentry Corp.bonds have an annual coupon payment of 7.25%.The bonds have a par value of $1,000,a current price of $1,125,and they will mature in 13 years.What is the yield to maturity on these bonds?