• Please show all work, calculation, or explanation to receive full credit and circle the correct answer.

Use the following Information to Answer Problems 1 and 2

Problem 1: Find the project’s expected cashflow and NPV

Problem 2: find the project’s standard deviation and coefficient variation?

NPV of Project in Good Condition =

NPV of Project in Average Condition =

NPV of Project in Bad Condition =

Two point particles separated by 0.7 m carry a total charge of 150 µC.

(a) If the two particles repel each other with a force of 80 N, what are the charges on each of the two particles?

q₁ = _____ µC (smaller charge)

q₂ = _____ µC (larger charge)

(b) If the two particles attract each other with a force of 80 N, what are the charges on the two particles?

q₁ = _____ µC (smaller charge)

q₂ = _____ µC (larger charge)

Stock X has a 9.0% expected return, a beta coefficient of 0.7, and a 35% standard deviation of expected returns. Stock Y has a 13.0% expected return, a beta coefficient of 1.3, and a 30% standard deviation. The risk-free rate is 6%, and the market risk premium is 5%.

1. Calculate each stock's coefficient of variation. Do not round intermediate calculations. Round your answers to two decimal places.

   CV_x =

   CV_y =

2. Which stock is riskier for a diversified investor?
   1. For diversified investors the relevant risk is measured by beta. Therefore, the stock with the higher beta is less risky. Stock Y has the higher beta so it is less risky than Stock X.
   2. For diversified investors the relevant risk is measured by beta. Therefore, the stock with the higher beta is riskier. Stock Y has the higher beta so it is riskier than Stock X.
   3. For diversified investors the relevant risk is measured by standard deviation of expected returns. Therefore, the stock with the higher standard deviation of expected returns is riskier. Stock X has the higher standard deviation so it is riskier than Stock Y.
   4. For diversified investors the relevant risk is measured by beta. Therefore, the stock with the lower beta is riskier. Stock X has the lower beta so it is riskier than Stock Y.
   5. For diversified investors the relevant risk is measured by standard deviation of expected returns. Therefore, the stock with the lower standard deviation of expected returns is riskier. Stock Y has the lower standard deviation so it is riskier than Stock X.

   -Select-IIIIIIIVVItem 3

3. Calculate each stock's required rate of return. Round your answers to one decimal place.

   r_x =   %

   r_y =   %

4. On the basis of the two stocks' expected and required returns, which stock would be more attractive to a diversified investor?

   -Select-Stock XStock Y

5. Calculate the required return of a portfolio that has $4,500 invested in Stock X and $1,500 invested in Stock Y. Do not round intermediate calculations. Round your answer to two decimal places.

   r_p =   %

6. If the market risk premium increased to 6%, which of the two stocks would have the larger increase in its required return?

   -Select-Stock XStock Y

Stock X has a 9.0% expected return, a beta coefficient of 0.7, and a 35% standard deviation of expected returns. Stock Y has a 12.0% expected return, a beta coefficient of 1.1, and a 30% standard deviation. The risk-free rate is 6%, and the market risk premium is 5%.

1. Calculate each stock's coefficient of variation. Do not round intermediate calculations. Round your answers to two decimal places.

   CV_x =

   CV_y =

2. Which stock is riskier for a diversified investor?
   1. For diversified investors the relevant risk is measured by standard deviation of expected returns. Therefore, the stock with the higher standard deviation of expected returns is riskier. Stock X has the higher standard deviation so it is riskier than Stock Y.
   2. For diversified investors the relevant risk is measured by beta. Therefore, the stock with the lower beta is riskier. Stock X has the lower beta so it is riskier than Stock Y.
   3. For diversified investors the relevant risk is measured by standard deviation of expected returns. Therefore, the stock with the lower standard deviation of expected returns is riskier. Stock Y has the lower standard deviation so it is riskier than Stock X.
   4. For diversified investors the relevant risk is measured by beta. Therefore, the stock with the higher beta is less risky. Stock Y has the higher beta so it is less risky than Stock X.
   5. For diversified investors the relevant risk is measured by beta. Therefore, the stock with the higher beta is riskier. Stock Y has the higher beta so it is riskier than Stock X.

   -Select-IIIIIIIVVItem 3

3. Calculate each stock's required rate of return. Round your answers to one decimal place.

   r_x =   %

   r_y =   %

4. On the basis of the two stocks' expected and required returns, which stock would be more attractive to a diversified investor?

   Stock X or Stock Y

5. Calculate the required return of a portfolio that has $3,000 invested in Stock X and $1,000 invested in Stock Y. Do not round intermediate calculations. Round your answer to two decimal places.

   r_p =   %

6. If the market risk premium increased to 6%, which of the two stocks would have the larger increase in its required return?

   Stock X or Stock Y

A Si pn diode has an equilibrium diffusion barrier of 0.7 V and an area capacitance of C2D = 4 nF/cm2 for a reverse bias voltage of -4.3 V. What can you tell about the doping levels?

An F/A-18F Super Hornet weighing 22,000 kg is flying at Mach 0.7 at an altitude of 3.5 km. The plane has a length of 18.3 m, a wingspan of 13.6 m and a height of 4.9 m. Assume that the shape of the aircraft can be approximated by a flat rectangular plate.

(a) Calculate the thrust force required to maintain level flight and constant speed.

(b) If the pilot suddenly changes pitch to fly straight up, determine whether he will black-out

(experience more than 9g deceleration) due to the manoeuvre.

(c) Estimate whether the plane would have stopped moving in a horizontal direction before an observer at sea-level heard the manoeuvre. (For a bonus of up to 100 marks, mathematically derive the formula for the final velocity in the horizontal direction and calculate the value at the instant the observer at sea level hears the manoeuvre.)

An iron sphere has a radius of 0.7 meters and its surface temperature is 400 K. It is surrounded by air whose temperature is 300 K. The emissivity of iron and air is 0.985. to. Find the heat flux that is emitted by radiation from the iron sphere. b. Find the net flow of heat from the iron sphere.

Problem 8. An iron sphere has a radius of 0.7 meters and its surface temperature is 400 K. It is surrounded by air whose temperature is 300 K. The emissivity of iron and air is 0.985.

a.Find the heat flux that is emitted by radiation from the iron sphere.

b. Find the net flow of heat from the iron sphere

A 10- kg mass is attached to a spring, stretching it 0.7 m from its natural length. The mass is started in motion from the equilibrium position with an initial velocity of 1 m/s in the downward direction. a. Find the equation of motion assuming no air resistance. b. When is the first time the mass goes through the equilibrium position after it was set in motion. c. Find the equation of motion assuming air resistance equal to -90x’(t) Newtons. d. What is the long term behavior of the motion described in part (c)? Use differential equations to solve this.