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: $450
Explanation:
Total tickets purchased = 2
The cost of one ticket three months ago = $100
Current price of one ticket = $225
Total cost of two tickets = $225 × 2
= $450
The opportunity cost is the benefit that is foregone by selecting some other alternative. So, here two options are available that either attend the concert or resell the ticket at $450. Therefore, the opportunity cost of attending the concert is $450.
Answer:
Total FV= $7,313.7
Explanation:
Giving the following information:
Year Cash Flow 1 $ 1,040 2 1,270 3 1,490 4 2,230
Discount rate= 9% = 0.09
<u>To calculate the future value, we need to use the following formula on each cash flow</u>:
FV= Cf*(1+i)^n
FV1= 1,040*(1.09^4)= 1,468.04
FV2= 1,270*(1.09^3)= 1.644.69
FV3= 1,490*(1.09^2)= 1,770.27
FV4= 2,230*1.09= 2,430.7
Total FV= $7,313.7
Answer: $5,610,000
Explanation:
Earnings before Interest and tax = $10,000,000
Earnings before tax (EBT) = EBIT - Interest
= 10,000,000 - 1,500,000
= $8,500,000
EBT is in the $335,000-$10,000,000 range.
Tax is therefore = Tax on base of bracket + Percentage on Excess above Base (EBT - Base of bracket)
= 113,900 + 34%( 8,500,000 - 335,000)
= $2,890,000
Net Income = EBT - Tax
= 8,500,000 - 2,890,000
= $5,610,000
