Answer:
about 68% of brand x’s batteries have a lifespan between 95.2 hours and 108.8 hours. about 68% of brand y’s batteries have a lifespan between 98.6 hours and 101.4 hours. the life span of brand y’s battery is more likely to be consistently close to the mean.
Explanation:
According to the empirical rule (68–95–99.7 rule) for a normal distribution, 68% of the data falls within the first standard deviation (μ ± σ).
Given for brand x, mean (μ) = 102 hours and standard deviation (σ) = 6.8 hours.
first standard deviation (μ ± σ) = 102 ± 6.8 = (95.2, 108.8)
about 68% of brand x’s batteries have a lifespan between 95.2 hours and 108.8 hours.
Given for brand y, mean (μ) = 100 hours and standard deviation (σ) = 1.4 hours.
first standard deviation (μ ± σ) = 100 ± 1.4 = (98.6, 101.4)
about 68% of brand x’s batteries have a lifespan between 98.6 hours and 101.4 hours.
Since the standard deviation of brand y is smaller than that of brand x, brand y battery is more likely to be consistently close to the mean
Answer:
The selling price today = $28.536
Explanation:
The question states that D0 is $1.5.
To calculate price, we need to calculate Present value of future dividends along with a terminal value from the time the dividend growth is becoming constant.
The D1 growth will be 20% of D2.
The fall in dividend growth will be 5% till it reaches 5%.
- P0 = D1 / (1+r) + D2 / (1+r)² + D3 / (1+r)³ + D4 / r-g
- Where,
- r = required rate of return
- g = growth rate
Thus,
P0 = 1.5*(1.2) / (1+0.15) + 1.5*(1.2)*(1.15) / (1+0.15)² + 1.5*(1.2)*(1.15)*(1.1) / (1+0.15)³ + 1.5*(1.2)*(1.15)*(1.1)*(1.05) / (0.15 - 0.05)
P0 = $28.536
Answer:
a stock crash
Explanation:
Speculation refers to trading high risk securities in an attempt to earn higher than normal returns. Speculators use stock market fluctuations to purchase and sell risky securities, and when it is aired with buying on the margin the risk increases by the margin amount. Speculators profit from abrupt changes in security prices, and sometimes will artificially increase the price of securities (i.e. a stock market bubble).
Consumer confidence is vital for an economy's health and when it falls, the first place that takes notice of it is the stock market. A decrease in consumer confidence means less private consumption which inevitably results in an economic recession.
When both factors meet, over speculation and a decrease in consumer confidence, the result is the bursting of the stock market bubble and a sharp decrease in prices.
Answer:
A.- DECREASE
B.- DECREASE
C.- INCREASE
D.- INCREASE
E.- INCREASE
Explanation:
a. The discount rate increases
DECREASE the discoutn factors will be higher therefore, the present values lower.
b. The cash flows are in the form of a deferred annuity, and the total to $100,000. You learn that the annuity lasts for 10 years rather than 5 years, hence that each payment is for $10,000 rather than for $20,000
DECREASE Because the cashflow is generate on a longer period there is more exposure to discount rates.
c. The discount rate decreases
INCREASE The discount factor are lower. This situation is the opposite as (a)
d. The riskiness of the investment's cash flows <u>decreases</u>
INCREASE a lower risk derivates in lower cost of capital thus, lower iscount rates. This increase the present value of the cashflow.
e. The total amount of cash flows remains the same, but more of the cash flows are received in the earlier years and less are received in the later years.
INCREASE as most of the future cash flows are at the beginning they have less exposure to time value of money.