A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.5%. The probability distributions of the risky funds are:

The correlation between the fund returns is .15.

The director of Human Resources at a large company wishes to determine if newly instituted training has been effective in reducing work-related injuries. In a random sample of 100 employees taken from the six months before this training began (group 1), she found 15 had suffered a work-related injury. Using a random sample of 150 employees from the six months since the training began (group 2), she found 12 had suffered a work-related injury.
a) Find the 95% confidence interval for this situation.  

b) Does it support the idea that the proportion of work-related injuries has decreased with the new training?

Show work - label all your values first before using technology.

Corporation A plans to launch a new project and the financial manager is considering whether this is a valuable investment for the corporation. Consider: The initial cost of this project is $197.92, and it offers cash flows in the next 3 years, with an estimated cash flow of $ 50 in the first year, $100 in the second year and $150 in the third year. Questions: 1. What is the Internal Rate of Return (IRR) of this project? 2. If we require a discount rate (r) of 10%, what is the Net Present Value (NPV) of this project? Should we invest into this project or not? Please explain step by step your calculations in details.

Please do not use Excell. I need to be answered this exactly step by step, by using formulas and simple tables if needed. Thank you!

Ram Roy’s firm has developed the following supply, demand, cost, and inventory data. Allocate production capacity to meet demand at a minimum cost using the transportation method. What is the cost? Assume that the initial inventory has no holding cost in the first period and backorders are not permitted.

Initial Inventory 20 Units

Regular Time cost per unit $100

Overtime cost per unit $160

Sub contract cost per unit $250

Carrying cost per unit per month $6

Supply Table

The can industry is composed of two firms. Suppose that the demand curve for cans is P= 100- Q and the total cost function of each firm is TC = 2 + 15q.

b) If only one firm enters a new market, how much will each firm produce and will make the profit?

c) If both enter the new market, how much will each firm produce and will make the profit?

e) If these two firms collude and they want to maximize their combined profit, how much will the firm A produce? And Profit?

f) How much will the Firm B produce?

g) Is this collusion would work? Why or why not?

h) If the Firm A moves first, how much profit for each firm will change? Construct the game tree and find Nash EQ

Net Present Value and Discounted Payback Period

Using the amount of capital expenditures incurred in 2018 -1976.4 (which will consider to be an initial investment outflow), assume the company will generate operating cash inflows of $205 million the first year, $385 million the second year, $478 million the third year, $599 million the fourth year, $625 million the fifth year, and $100 million the year six.

a.) What is the NPV using the company’s WACC of 3.56 and what is the IRR?

b.) Did the company make a good investment decision using the NPV criteria?

c.) If the company had a discounted payback period policy of four years, did it make a sound investment decision (use the company’s calculated WACC)?

3. Consider the investment project given in the below table:

An electric motor is rated at 10 horsepower (HP) and costs $1,200. Its full-load efficiency is specified to be 85%. A newly designed high-efficiency motor of the same size has an efficiency of 90%, but it costs $1,600. It is estimated that the motors will operate at a rated 10 HP output for 2,000 hours/year, and the cost of energy will be $0.09/kilowatt- hour. Each motor is expected to have a 15-year life. At the end of the 15 years, the first motor will have a salvage value of $50 and the second motor will have a salvage value of $100. Consider the MARR to be 8%. (1 HP = 0.7457 kW)

Use NPW to determine which motor should be installed.

complete all methods in java!
/*
Note:   Do not add any additional methods, attributes.
        Do not modify the given part of the program.
        Run your program against the provided Homework2Driver.java for requirements.
*/

/*
Hint:   This Queue implementation will always dequeue from the first element of
        the array i.e, elements[0]. Therefore, remember to shift all elements
        toward front of the queue after each dequeue.
*/

public class QueueArray<T> {
    public static int CAPACITY = 100;
    private final T[] elements;
    private int rearIndex = -1;
   
    public QueueArray() {
    }

    public QueueArray(int size) {
    }
   
    public T dequeue() {

    }
   
    public void enqueue(T info) {

    }
   
    public boolean isEmpty() {
       
    }
   
    public boolean isFull() {
       
    }
   
    public int size() {
       
    }
}

Suppose A Company accepts all projects with payback periods less than 3 years. State which project(s) the company should undertake based on this policy and determine the total NPV from following this policy.

(a) Apply Maxwell relation and Gibb’s first equation (du=TdS-Pdv) to find the (∂u/∂P)_Trelation in terms of directly measurable properties (P, V and T). For an ideal gas, what will be the value of that partial derivative?

(b) Illustrate physical meaning of Inversion line with the help of T-P diagram.

(C) Assume that carbon dioxide (CO2) is collected from bacterial decomposition of organic matter at 5℃, and atmospheric pressure (100 kPa), and is required to be used in a process at -30℃, 40 bar. Apply theory of real gas behavior to calculate how much actual minimum work input and heat transfer is required to reach this state. Also, suggest some devices that can be used to obtain this state change