Answer:
a. $80,318.70
b. $97,568.57
Explanation:
Here is the full question :
You have just received a windfall from an investment you made in a friend's business. She will be paying you $ 15 comma 555 at the end of this year, $ 31 comma 110 at the end of next year, and $ 46 comma 665 at the end of the year after that (three years from today). The interest rate is 6.7 % per year. a. What is the present value of your windfall? b. What is the future value of your windfall in three years (on the date of the last payment)?
Present value is the sum of discounted cash flows
Present value can be calculated using a financial calculator
Cash flow in year 1 = $ 15,555
Cash flow in year 2 = $31,110
Cash flow in year 3 = $ 46,665
I = 6.7%
Present value = $80,318.70
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
$80,318.70(1.067)^3 = $97,568.57
Answer:
Under Cash Basis all transactions for which cash is exchanged whether paid or received is accounted for.
Cash Basis Income Statement
Sales Revenue = $6,650
Customer Deposits = $4,550
Total Revenue = $11,200
Less: Expenses:
Wages = ($700)
Net Income = $10,500
Under Accrual basis, the transactions are recorded as to the period they relate, and it is not necessary to exchange cash for the same.
Accrual Basis Income Statement
Sales Revenue = $12,050
Total Revenue = $12,050
Expenses
Wages = ($700)
Utilities = ($330)
Total Expenses = ($1,030)
Net Income = $11,020
Answer:
$119,176.06
Explanation:
Calculation for How much would you need to invest in B today
First step is to calculate the Future value of annuity (FVA)
FVA =$2,500 * ({[1 + (.115 / 12)](5 × 12) - 1} / (.115 / 12))
FVA = $201,462.23
Since we have known the FVA Second Step will be to calculate the Present value (PV)
PV = $201,462.23 × e-1 × .105 × 5
PV= $119,176.06
Therefore the amount that you would need to invest in B today will be $119,176.06
