Posted: July 31st, 2022

**LOOKING FOR EXPERTS IN MATHEMATICAL AND STATISTICAL CALCULATIONS – NO ESSAYS NEEDED.**

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**PLEASE SHOW ALL COMPUTATIONS AND LABEL ALL ANSWERS AND VARIABLES**

**DUE DATE: MARCH 12, THURSDAY; WORD FORMAT **

1. Jack works in the hardware section of a department store. A customer comes in and buys 3 gallons of paint and 7 brushes, and pays $69.96, including 6% sales tax. Another customer buys 2 gallons of paint and 3 brushes and pays $42.40, including sales tax. Find the price of a gallon of paint and that of a brush.

2. The cash flows from two projects under different states of the economy are as follows:

State of the economy |
Probability |
Project A |
Project B |

Poor |
10% |
$13,000 |
$0 |

Average |
20% |
$14,000 |
$7000 |

Good |
70% |
$16,000 |
$16,000 |

Find the coefficient of correlation between the two projects.

3. Stewart Company has cost of capital 14%. The following function represents the shortage cost for its net working capital

*S* = 3 / (x – 9)

*S* = 3 / (x – 9) for x > 9

Here *S* is the shortage cost in thousands of dollars, and *x* is the level of the net working capital, also in thousands of dollars. Find the following:

(A) The optimum level of net working capital.

(B) The financing cost, shortage cost, and total cost at the optimal point.

4. Granger Company’s cost of capital is 13%. It has invested *x* (million dollars) in current assets. The following function represents the shortage cost of current assets

*S* = 9 *e*^{−x/5}

Find the following:

(A) The optimal level of current assets.

(B) The shortage, financing, and total annual cost of these assets.

5. Ohio Corporation has 6 million shares of common stock priced at $25 per share, which has just paid its annual dividend of $1.75. The dividends have grown steadily at the rate of 5% per year and the investors expect the growth to continue in the future. The 6% coupon bonds of the corporation have a face value of $60 million. The bonds will mature in 10 years and currently they sell at $857.14 each. The tax rate of Ohio is 25%. Calculate its *WACC*.

6. Potsdam Co has 3 million shares of common stock, each selling for $30, with β = 1.7. The company has $40 million in long-term bonds, selling at par, with coupon 7%. The tax rate of Potsdam is 30% and the risk-free rate is 5%. The expected return on the market is 12%. Find the *WACC* for Potsdam.

7. You work at PPL Corporation, at their corporate headquarters, in Allentown, PA. Estimate the weighted average cost of capital for the company. Start by studying the annual report of PPL Corporation available at their website. You can use public information about the company, available at various sources, such as Yahoo Finance. **You should identify the source of your data**. In effect, you have to find the current values of the following quantities for the corporation. If you are unable to find a number precisely, you will have to estimate it.

7.1. Income tax rate

7.2. Market value of debt

7.3. Market value of equity

7.4. Cost of debt

7.5. Cost of equity

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