In 2011-2015, mutual fund manager, Diana Sauros produced the following percentage rates of return for the Mesozoic Fund. Rates of return on the market index are given for comparison. 2011 2012 2013 2014 2015 Fund −1.3 +25.0 +41.0 +12.0 +0.4 Market index −1.0 +17.0 +32.0 +11.3 −0.8 Calculate (a) the average return on both the Fund and the index, and (b) the standard deviation of the returns on each. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

The following problem description applies also to the next two problems.

A piston-cylinder device contains 2 kg of a saturated liquid mixture at an initial state 1 with p₁= 100 kPa and x₁= 0.8. The water is heated at constant pressure until its final state 2 with volume V₂ = 1.947V₁.

Its initial volume, in m³/kg, is closer to:

Its final temperature, in ^oC, is closer to:

The amount of heat supplied to the steam during the expansion process, in kJ, is closer to:

A corporate bond has 2 years to maturity, a coupon rate of 6%, a face value of $1,000 and pays coupons semiannually. The market interest rate for similar bonds is 7.5%.

What is the price of the bond (in $)?

What is the bond's duration in years?

If yields fall by 0.8 percentage points, what is the new expected bond price based on its duration (in $)?

What is the actual bond price after the change in yields (in $)?

What is the difference between the two new bond prices (in absolute $)?

The impedance of a three-phase, 50 km long power transmission line per unit length is 0.05 + j0.1  / km.
A load with a power coefficient of 0.8 forward is fed from the end of the line. Line and end of line of energy transmission line
According to the intention to keep the voltage between phases constant at 154 kV;
a) Active and reactive power values ​​drawn from the beginning and end of the line,
b) Calculate the lost power spent on the energy transmission line and the efficiency of the line.

A siphon consisting of a pipe of 15cm diameter is used to empty kerosene oil (s = 0.8) from a tank A.
The siphon discharges to the atmosphere at an elevation of 1m. the oil surface in the tank is at ana
elevation of 4m. The centerline of the siphon pipe at its highest point C is at an elevation of 5.5m. The
losses in the pipe are 0.5m up to the summit and 1.2m from the summit to the outlet. Estimate:
i. The discharge in the pipe
ii. Pressure at point C
iii. Length of the pipe given f = 0.0035

3) When I lived in California I had a small lemon tree in the front yard. If we had rain in the summer (rare=P=.2) it would yield up to 10 lemons, distributed with a binomial distribution, N= 10, P=0.6. If it is perfectly dry (most of the time P=0.8) it the distribution would be binomial with N=6, P=0.4 a) If you get 3 lemons what the probability that it rained. b) If you have 4 lemons, what is the probability that it rained.

Air at 1 atm and 80 ºC is used for the fluidization of catalyst pellets in 2.5 mm diameter in a vertical cylindrical reactor. The density of the catalyst particles is 3000 kg/m³. The catalyst particles have a sphericity (Øs) of 0.8 and . What should be the minimum limit of the air velocity? Explain the reasons

b) If the air flow rate is 45000 kg/h and the operational air velocity is 1.5 Vt, what should be the reactor diameter? Viscosity of air is 2.1x10^-5 kg/m.s

An investment company intends to invest a given amount of money in three stocks.

The means and standard deviations of annual returns are as follows:

Construct the efficient frontier for portfolios of these stocks. Please explain the involved steps in your modeling and construction.

A thin aluminum sheet with an emissivity of 0.25 on both sides is placed between two very large parallel plates, which are maintained at uniform temperatures T1 = 600◦C and T2 = 325◦C and have emissivities ε1 = 0.5 and ε2 = 0.8, respectively. Determine the net rate of radiation heat transfer between the two plates, per unit surface area of the plates,

(a) without the radiation shield, and

(b) with the radiation shield. What is the percentage reduction in heat transfer with the shield?

1. Use a spreadsheet or similar software to produce the graphs for this question. Cut and paste into this document before converting to pdf.

Assume that the production function is

Y = A K^aL ^1-a

and that A   = 5 and L = 14.

1. Assume and that A   = 5 and L = 14. Plot on one graph the value of output (Y) as a function of capital stock (K) for a = 0.1, 0.5 and 0.8. Compare the shapes of the production function. How does the value of a affect this shape?
2. Assume and that A   = 5 and L = 14. Plot on one graph the value of output per capita (y) as a function of capital stock per capita (k) for a = 0.1, 0.5 and 0.8. Compare the shapes of the production function. How does the value of a affect this shape?
3. Assume and that A   = 5 and a = 0.5. Plot on one graph the value of output per capita (y) as a function of capital stock per capita (k) for L = 8, 14 and 20. Compare the shapes of the production function. How does the value of L affect this shape?
4. Assume and that L =14 and a = 0.5. Plot on one graph the value of output per capita (y) as a function of capital stock per capita (k) for A = 2, 5 and 8. Compare the shapes of the production function. How does the value of A affect this shape?
5. Do the same for production functions (e) and (f) from question #1.