Answer:
Amount to be borrowed = $21,600
Explanation:
Provided details,
Opening cash balance as on 31 March = $36,400
Add: Expected Receipts = $641,000
Less: Expected purchases = ($608,500)
Less: Cash Expenses = ($27,000)
Less: Selling and administration ($33,500)
Total balance = $8,400
Balance to be maintained = $30,000
Loan to be taken or amount to be borrowed = $30,000 - $8,400 = $21,600
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%
There are options available for Lyman :
Either he
- Sell his equity to his investors, ( which mean that he have to give away a percentage of his company)
- Or he can get some Loans
I he should consider Loans, because his annual revenues already way higher than the amount of loans that he need, he could easily paid it off
D.) An account earning interest compounded daily.
This is the account that would have the greatest accumulated value at the end of one year.
Let us assume the following figures.
Principal = 1,000
Interest rate = 12% p.a.
Term 1 year
a) account earning no interest = 1,000
b) account earning simple interest
S.I. = 1,000 x 12% x 1 = 120
Balance = 1000 + 120= 1,120
c) account earning interest compounded annually
FV = 1,000 (1+.12)¹
FV = 1,000 (1.12)
FV = 1,120
d) account compounded daily
FV = 1,000 (1 + .12/365)³⁶⁵
FV = 1,000 (1 + 0.00033)³⁶⁵
FV = 1,000 (1.00033)³⁶⁵
FV = 1,000 (1.128)
FV = 1,128
Answer:
Option ( b ) $57,000
Explanation:
Data provided in the question:
Net income = $300,000
W-2 wages = $120,000
Assets with unadjusted basis = $75,000
Taxable income before the QBI deduction = $285,000
Now,
The QBI deduction for 2019 will be given as 20% of the qualified income i.e the taxable income before the QBI deduction
Therefore,
The QBI deduction for 2019 = 20% of $285,000
= 0.20 × $285,000
= $57,000
Hence,
Option ( b ) $57,000