Hypotheses testing 1

A normal tomato will gain an average of 2 ounces per week during the growing season. A sample of 100 tomatoes is given a special hormone to increase their growth. The average weight gain of tomatoes in the sample was 3 ounces with a standard deviation of 1 ounce. Conduct a hypothesis test to determine if the hormone incre ...continues

Differential Equation

Problem Details Mathematics, Ordinary Differential Equations Year 4 Solve numerically using the fourth order Runge-Kutta formulation Solve numerically using the fourth order Runge-Kutta formulation: dy/dx = -y-sin x Defined on the domain{ x : -pi < x , -pi } Given y (-pi) = 1.5. Use a step length h = pi/3 ...continues

ODE (Runge-Kutta)

In the solution of the ODE : dy/dx = -y-sinx defined on the domain {x: -pi < x < pi} using 4th order Runge-Kutta I am trying to provide step-by-step detail of the first two steps (h=pi/30). Having seen these steps, I am confident I will be able to proceed with the problem.

What expected rate of return would a security earn if it had a 0.6 correlation with the market portfolio and a standard deviation of 3 percent

A portfolio that combines the risk-free asset and the market portfolio has an expected return of 22 percent and a standard deviation of 5 percent. The risk-free rate is 4.9 percent, and the expected return on the market portfolio is 19 percent. Assume the capital-asset-pricing model holds. What expected rate of return would a ...continues

Based on the capital-asset-pricing model, what is the expected return on the above portfolio?

Suppose you have invested $50,000 in the following four stocks: Security Amount Invested Beta Stock A $10,000 0.7 Stock B 15,000 1.2 Stock C 12000 ...continues

What is the forward price of your contract? b. Suppose both the spot rates unexpectedly shift downward by 1 percent. What is the price of a forward contract otherwise identical to yours?

You enter into a forward contract to buy a 10 year, zero-coupon bond that will be issued in one year. The face value of the bond is $1000, and the 1-year spot interest rates are 4 percent per annum at 9 percent per annum, respectively. Both of these interest rates are expressed as effective annual yields (EAYs). a. What is ...continues

What is the expected return on Morrow's stock? b. If the risk-free rate decreases to 3.7 percent, what is the expected return on Morrow's stock?

Suppose the expected return on the market portfolio is 14.7 percent and the risk-free is 4.9 percent. Morrow Inc. stock has a beta of 1.3 Assume the capital-asset-pricing model holds. What is the expected return on Morrow's stock? b. If the risk-free rate decreases to 3.7 percent, what is the expected return on Morrow's ...continues

Accounting, face value of bonds sell for

9. How much should a $1,000-face-value bonds sell for, assuming the following conditions: The bond pays a coupon of 11% The coupon payments are paid annually. The required rate of return on similar-risk investments is 9%. The bond matures in 15 years 10. How much should a $1,000-face-val ...continues

Numerical Linear Algebra. Norms.

Find two norms on the space C[0,1] that are not equivalent. Justify your answer. ( Please prove that the example you provide is a norm on the given space and show that the 2 are not equivalent.)

Numerical linear algebra/norms

Based on the parallelogram law, show that the norms ||.||_1 (1-norm) and ||.||_infinity ( infinity or maximum norm) in R^2 are not induced by any inner product. Parallelogram Law: ||u+v||^2 + ||u-v||^2 = 2||u||^2 + 2||v||^2. ||x||_1: = sum i = 1 to n of |x_i| ||x||_infinity := max ( 1 =< i =< n)|x_i|