Answer:
a-1) Pv = 52549
a-2) Pv = 56822
b-1) Fv = 77570
b-2 Fv = 83878
Explanation:
b-1) Future value:
S= Sum of amount of annuity=?
n=number of fixed periods=5 years
R=Fixed regular payments=13200
i=Compound interest rate= .081 (suppose annualy)
we know that ordinary annuity:
S= R [(1+i)∧n-1)]/i
= 13200[(1+.081)∧5-1]/.081
=13200(1.476-1)/.081
= 13200 * 5.8765
S = 77570
a.1)Present value of ordinary annuity:
Formula: Present value = C* [(1-(1+i)∧-n)]/i
=13200 * [(1-(1+.081)∧-5]/.081
=13200 * (1-.6774)/.081
=13200 * (.3225/.081)
=52549
a.2)Present value of ordinary Due:
Formula : Present value = C * [(1-(1+i)∧-n)]/i * (1+i)
= 13200 * [(1- (1+.081)∧-5)/.081 * (1+.081)
= 13200 * 3.9822 * 1.081
= 56822
b-2) Future value=?
we know that: S= R [(1+i)∧n+1)-1]/i ] -R
= 13200[ [ (1+.081)∧ 5+1 ]-1/.081] - 13200
= 13200 (.5957/.081) -13200
= (13200 * 7.3544)-13200
= 97078 - 13200
= 83878
Answer:
t = 4.607742347 years rounded off to 4.61 years
Explanation:
To calculate the number of years it will take an investment of $3500 to grow to $5900 at an annual interest rate of 12%, we will use the formula for the future value of cash flows. The formula can be written as follows,
Future value = Present value * (1+i)^t
Where,
- i is the interest rate
- t is the time in years
Plugging in the values for future value, present value and i, we can calculate the t to be,
5900 = 3500 * (1+0.12)^t
5900 / 3500 = (1.12)^t
1.685714286 = 1.12^t
Taking log on both sides.
Ln(1.685714286) / Ln(1.12) = t
t = 4.607742347 years rounded off to 4.61 years
Flow to Equity (FTE) is the approach to capital budgeting that discounts the after-tax cash flow from a project going to the equity holders of a levered firm.
An alternative capital budgeting strategy is the flow to equity (FTE) or free cash flow approach. The FTE approach merely requires that equity capital be discounted at the cost of the cash flows from the project to the equity holders of the leveraged firm. The amount of cash that a company's equity shareholders have access to after all costs, reinvestment, and debt repayment is taken into account is known as flow to equity. Free Cash Flow to Equity (FCFE) is calculated as Net Income - (Capital Expenditures - Depreciation) - (Change in Non-cash Working Capital) - (Change in Non-cash Equity) + (New Debt Issued - Debt Repayments) This is the cash flow that can be used to repurchase stock or pay dividends.
More about cash flow brainly.com/question/17406590
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Explanation:
Autonomy -
It is refers to the degree to which the workers have the freedom , discretion , independence , so as to decide when and how to accomplish their jobs .
Hence , from the options given in the question ,
- The most autonomous are the self designing teams and the self - managing teams .
- The least autonomous are the employee involvement groups and the traditional work groups .
- The moderate autonomous is the semi autonomous work groups .
