Cutler Petroleum, Inc., is trying to evaluate a generation project with the following cash flows:Year Cash Flow0 –$ 39,800,000 1 63,800,000 2 – 12,800,000 This project has two IRR's, namely percent and percent, in order from smallest to largest. (Note: If you can only compute one IRR value, you should input that amount into both answer boxes in order to obtain some credit.)

The two IRRs are: - 76.49% and 36.79%

Explanation:

To simplify our "Hard work", let's denote the cash flow numbers in terms of '000 (To reduce the number of zeros).

IRR is that discount rate R, for which NPV = 0

NPV is the sum of discounted cash inflows and outflows. Therefore,

NPV ($'000) = - 39,800 + (63,800 / (1 + R) - [12,800 / (1 + R)2]

When NPV = 0 [If R is the IRR],

0 = - 39,800 + [(63,800 / (1 + R)] - [12,800 / (1 + R)2]

[12,800 / (1 + R)2] - [(63,800 / (1 + R)] + 39,800 = 0

To simplify further, let's put N = 1 + R. Also, let's divide both sides by 200 [Note: We're only doing arithmetical simplification to reduce the large numbers]]:

[64 / (N)2] - (319 / N) + 199 = 0

Multiplying all terms by (N2):

64 - 319N + 199 (N)2 = 0

that is,

199 (N)2 - 319N + 64 = 0

This is a quadratic equation with large coefficients. Solving quadratic equation is outside scope of this question (it belongs to Algebra), so I've used an Online Quadratic equation solver**, which returns following values of N:

N = 1.3679, and N = 0.2351

So:

1 + R = 1.3679, Or 1 + R = 0.2351

R = (1.3679 - 1) or R = (0.2351 - 1)

R = 0.3679 or R = - 0.7649

The two IRRs are: - 76.49% and 36.79%

answer; specific performance;

the correct answer is economics is a game without winners or losers.

unlike sports or games economic is a game without losers or winner rather it is a game where everyone wins. parties of business doing businesses exchange money with each other and hence exchange is done on the basis of goods. one party takes the goods and other sales it so there is winner on both sides. each party values more highly the good it gets than the good it gives up. both sides exchange only because both intend to increase their value. so there is no concept of lose or win.