Answer:
Agile software development
Explanation:
Agile software development was developed to provide faster software development and accommodate for changes in the software design. In this type of methodology, development teams can easily adapt to meet the new design of the software. The Agile methodology is suitable for projects where flexibility is desired to accommodate changes that can lead to the project evolving.
The question is incomplete. Here is the complete question:
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:
$77,217
$11,289
Explanation:
Fist we will calculate the present value of $10,000 payment
A fix Payment for a specified period of time is called annuity. The discounting of these payment on a specified rate is known as present value of annuity. The value of the annuity is also determined by the present value of annuity payment.
Formula for Present value of annuity is as follow
PV of annuity = P x [ ( 1- ( 1+ r )^-n ) / r ]
Where
P = Annual payment = $10,000
r = rate of return = 10% / 2 = 5%
n = number of period = 5 years x 2 semiannual payments per year = 10 payments
PV of annuity = $10,000 x [ ( 1- ( 1+ 0.05 )^-10 ) / 0.05 ]
PV of Annuity = $77,217
Now we will use the discounting method to calculate the present value of lump sum payment of $20,000
Present value = Future value x Present value factor
PV = FV x ( 1 + r )^-n
PV = $20,000 x ( 1 + 0.1 )^-6
PV = $11,289
The telephone box and the other two about calls go to the bottom picture and the rest the top i would say
