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The following annual returns for Stock E are projected over the next year for three possible states of the economy. What is the stock’s expected return and standard deviation of returns? E(R) = 8.5% ; σ = 22.70%; mean = $7.50; standard deviation = $2.50
State Prob E(R)
Boom 10% 40%
Normal 60% 20%
Recession
30% - 25%
Answer:
The expected return of the stock E(R) is 8.5%.
The standard deviation of the returns is 22.7%
Explanation:
<u>Expected return</u>
The expected return of the stock can be calculated by multiplying the stock's expected return E(R) in each state of economy by the probability of that state.
The expected return E(R) = (0.4 * 0.1) + (0.2 * 0.6) + (-0.25 * 0.3)
The expected return E(R) = 0.04 + 0.12 -0.075 = 0.085 or 8.5%
<u>Standard Deviation of returns</u>
The standard deviation is a measure of total risk. It measures the volatility of the stock's expected return. The standard deviation (SD) of a stock's return can be calculated by using the following formula:
SD = √(rA - E(R))² * (pA) + (rB - E(R))² * (pB) + ... + (rN - E(R))² * (pN)
Where,
- rA, rB to rN is the return under event A, B to N.
- pA, pB to pN is the probability of these events to occur
- E(R) is the expected return of the stock
Here, the events are the state of economy.
So, SD = √(0.4 - 0.085)² * (0.1) + (0.2 - 0.085)² * (0.6) + (-0.25 - 0.085)² * (0.3)
SD = 0.22699 or 22.699% rounded off to 22.70%
Answer:
13,000 units
Explanation:
The excess of budgeted sales over budgeted production = 127,000 - 110,000 = 17,000 units. In other words, this is the number of units that the company will be in short of.
The company has 30,000 units in beginning inventory, thus the amount of ending finished goods inventory will be = 30,000 - 17,000 = 13,000 units
Answer:
0.104
Explanation:
We are to determine the yield to maturity of the bond
yield to maturity can be determined using a financial calculator
Cash flow in year 0 = -500
Cash flow each year from year 1 to 6 = 0
Cash flow in year 7 = 1000
YTM = 10.4%
To find the YTM using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. After inputting all the cash flows, press the IRR button and then press the compute button.
Answer:
Cost of common equity is 15.7% and WACC is 7.2%
Explanation:
D1 is
D1= 2.25 (1+0.05)
The cost of common equity is
Rs = 2.36/ 22.00 + 5% =0.157= 15.7%
The cost of common equity is weighted average cost of capital (WACC)
WACC = (0.35) * (0.08) (1- 0.40) + 0 preferred stock+ (0.35) * (0.157)
WACC = 0.03 *0.6 + 0 + 0.054
WACC = 0.018 + 0.054
WACC = 7.2%
The rate of return required by investors in the market for owning a bond is called the <u>Yield to </u><u>maturity</u>
A bond's coupon rate is the rate it pays each year, and yield is the return it makes. A bond's coupon is expressed as a percentage of its face value. Face value is simply the face value of the bond or the value of the bond as quoted by the issuer.
A bond's current yield is the annual income from the investment, including interest and dividend payments, divided by the security's current price. Yield to maturity (YTM) is the expected total return from holding a bond to maturity.
The current yield is the annual rate of return on investment (interest or dividend) divided by the security's current price. This indicator looks at the current price of a bond rather than its face value.
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