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
Answer:
4.56%
Explanation:
The annual percentage rate refers to the rate at which the loan amount is equal to the present value of cash flows
In mathematically
Loan amount = Present value of cash flows
Loan amount = Monthly payment × PVAF (rate, number of years)
$31,000 = $493.25 × PVAF (rate, 72 months)
So,
PVAF (rate, 72 months) = 62.8485
And, the monthly rate is = 0.38%
So, the APR is
= Monthly rate × total number of months in a year
= 0.38% × 12
= 4.56%
The 72 months is
= 6 years × 12 months
= 72 months
Answer:
$40 million
Explanation:
The computation of stock price is shown below:-
For computing the stock price first we need to compute the firm value which is below:-
Firm value = Free cash flow-1 ÷ (Weighted average cost of capital - Growth rate)
= $70.0 million ÷ (10% - 5%)
= $70.0 million ÷ 5%
= $1,400 million
Stock price = (Firm value - Debt) ÷ Number of shares
= ($1,400 million - $200 million) ÷ 30 million
= $1,200 million ÷ 30 million
= $40 million
Answer:Flexible
Explanation:
According to the question, clothing store tracks the sale at each location so, they are taking a very large base of consumers and they are considering each consumer that is why the quality information is flexible.
Demands of each consumer may vary such that one wants cotton fabric, another wants polyester so this makes the information more flexible as it may vary largely.
<span>The lawsuit for this type of breach of contract will be governed by the common law of contracts. Contract laws relate to most agreements between people or groups, including oral agreements.</span>