Question: If f is a strictly positive definite concave function, then 1/f is convex. If f is a strictly negative definite convex function, then 1/f is

If f is a strictly positive definite concave function, then 1/f is convex. If f is a strictly negative definite convex function, then 1/f is concave.

Step by Step Solution

★★★★★

3.36 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

If is positive and concave then log is concave There... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

914-M-N-A-O (474).docx

120 KBs Word File

Students Have Also Explored These Related Numerical Analysis Questions!

Q:

A strictly positive definite, strictly increasing, homothetic, and quasi concave functional is concavifiable.

Q:

Let f and g be strictly positive definite functions on a convex set S with f concave and g convex. Then is quasi concave on S. h(x)= g(x)

Q:

If f F(S) is strictly positive definite, quasiconcave, and homogeneous of degree one, then f is superadditive, that is, f (x1 + x2) f (x1) + f(x2) for every x1, x2 S

Q:

Portfolio Optimisation. Consider a market that contains n risky assets and one risk-free asset. Denote by i = (1, ..,in the vector of expected returns and by cov(r1,11) ... cov(r1, in) cov(Inn) ......

Q:

Exercise 3. Portfolio Optimisation. Consider a market that contains n risky assets and one risk-free asset. Denote by i = (F1, ..., in the vector of expected returns and by covri,r) cov(r, rn) = : :...

Q:

ECON10001/20281 3 of 12 Each of these multiple-choice questions has exactly ONE correct answer. Indicate your answer on your answer sheet provided. 1. Consider the function f : X Y . Which of the...

Q:

Use theorem 11.6 to show that the function f(x1,x2)=x11/2x21/3 defined on R++2, is concave. Let H be the Hessian matrix associated with a twice continuously differentiable function y=f(x),xRn. It...

Q:

PLEASE ANSWER EACH ONE AND SHOW WORKING OUT ON PAPER PLEASEEEEEE ASAPPPAPAPAPAPPA This question is worth 10 points. Each part is worth 0.5 points Consider a monopoly firm that can produce and sell...

Q:

I AM BEGGING YOU PLEASE ANYONE SOLVE THESE AND PLEASE MAKE SURE THEY R 100% RIGHT, SHOW WORKING OUT PLEASE EITHER ON PAPER OR WRITTEN. IDC AS LONG AS THEY ARE RIGHT PLEASE URGENT This question is...

Q:

ANSWER EACH ONE CLEARLY PLEASE AND SHOW WORKING OUT WITH PEN AND PAPER PLEASEEE. BUT PLEASE MAKE SURE ITS CLEAR WHICH ANSWER IS FOR WHICH QUESTION PLEASE!!! This question is worth 10 points. Each...

Q:

Cozy Bear is a private camping ground near the Mountain Home Recreation Area. It has compiled the following financial information as of December 31, 2017. Dividends Service revenue (from camping...

Q:

Define the three levels of product categorization. Relate these three levels to a health club. These are the three levels I want you to explain and describe them further and relate these three levels...

Q:

Hill Corporation lent $ 2 8 , 0 0 0 to Gateway Company on January 1 , 2 0 2 5 . Gateway Company signed a 3 - year, 4 % installment note to be paid in 3 equal payments at the end of each year....

Q:

Given the information of problem 1.6, a) Set up the primal problem of a price taker. b) Explain and use the Transposition Principle to set up the dual problem of a price taker.

Q:

A random sample of size n1 = 16 is selected from a normal population with a mean of 75 and a standard deviation of 8. A second random sample of size n2 = 9 is taken from another normal population...

Q:

A consumer electronics company is comparing the brightness of two different types of picture tubes for use in its television sets. Tube type A has mean brightness of 100 and standard deviation of 16,...

Q:

The elasticity of a polymer is affected by the concentration of a reactant. When low concentration is used, the true mean elasticity is 55, and when high concentration is used the mean elasticity is...

Q:

An investment promises to pay you $ 4 0 0 per year starting immediately. The cash flow from the investment is expected to increase by 3 percent per year forever. If alternative investments of similar...

Q:

At expiry of a 7-year 2% Payer swaption on $100mln, with 6-mo LIBOR as the floating rate leg, the actual (prevailing) 7-yr swap rate is 2.80% and the yield curve is flat. What is the intrinsic value...

Q:

Discuss and explain the difference between procedural and object oriented programming languages.