Net Present Value (NPV) Formula Explanation
The Net Present Value (NPV) is a fundamental concept in finance used to determine the profitability of an investment. It calculates the present value of future cash flows, considering the time value of money.
Understanding the Variables
- Bt: Social Benefits at time t
- Ct: Social Costs at time t
- r: Social Discount Rate (reflects the opportunity cost of capital and risk)
- t: Time period (usually in years)
- T: Total life of the investment project
NPV Calculation
The NPV is the sum of the discounted net cash flows over the project's life. Net cash flow at time t is the difference between benefits and costs (Bt - Ct). Each period's net cash flow is discounted back to its present value using the formula PV = CashFlow / (1 + r)t.
Therefore, the formula for NPV is:
$NPV = \sum_{t=0}^{T} \frac{B_t - C_t}{(1 + r)^t}$
Analysis of Options
Based on the standard financial formula for NPV:
- Option 1 correctly represents the NPV as the sum of discounted net benefits (Bt - Ct) over the project's lifetime (T), using the social discount rate (r).
- Option 2 reverses the benefit and cost terms.
- Option 3 incorrectly places the discount factor in the numerator and inverts the net benefit term.
- Option 4 uses an incorrect discounting factor involving Ct.
Thus, the correct formula is the one presented in Option 1.
Important Questions from Capital Budgeting
A firm is currently earning Rs. 50,000 and its one share has a present market value of Rs. 175. It has 5,000 shares outstanding. The earnings of the firm is expected to remain stable and it has a payout ratio of 100%. The cost of equity is:
With project cost of ₹300 lacs, profits after depreciation (straight line method) and tax for its lifetime of 5 years are estimated at ₹10 lacs, ₹10 lacs, ₹30 lacs, ₹40 lacs and ₹50 lacs respectively. The cost of capital is 12% and discount factors @ 12%, for the first five years are 0.89, 0.80, 0.71, 0.64 and 0.57 respectively. The Net present value of project is :
Match List I with List II
LIST I
(Investment Decision rule)
LIST II
(Feature)
A. NPV I. Insufficiently consistent B. Payback II. Highly Inflexible C. Cash Returns III. Balance between flexibility and consistency D. Accounting Returns IV. Relatively consistent Choose the correct answer from the options given below:
Which of the following are assumption of Net Operating Income Approach of Capital Structure?
(A) There is no Corporate Tax
(B) Cost of debt remain constant at all level
(C) The Business risk remain constant every level of debt and equity mix
(D) The cost of Debt is less than cost of equity
(E) Overall cost of Capital remain constant
Choose the correct answer from the options given below:
Fixing the zero date is important step in establishing a project-
