a) The range of values that the contribution to the profit of an acre of Crop A can assume without changing the optimal solution.

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Answer 1

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Chapter 3.4, Problem 12E

To determine

a)

The range of values that the contribution to the profit of an acre of Crop A can assume without changing the optimal solution.

To determine

b)

The range of values that the resource associated with the constraint on the available land can assume.

To determine

c)

The shadow price for the resource associated with the constraint on the available land.

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1 (Expected Shortfall) Suppose the price of an asset Pt follows a normal random walk, i.e., Pt = Po+r₁ + ... + rt with r₁, r2,... being IID N(μ, o²). Po+r1+. ⚫ Suppose the VaR of rt is VaRq(rt) at level q, find the VaR of the price in T days, i.e., VaRq(Pt – Pt–T). - • If ESq(rt) = A, find ES₁(Pt – Pt–T).

2 (Normal Distribution) Let rt be a log return. Suppose that r₁, 2, ... are IID N(0.06, 0.47). What is the distribution of rt (4) = rt + rt-1 + rt-2 + rt-3? What is P(rt (4) < 2)? What is the covariance between r2(2) = 1 + 12 and 13(2) = r² + 13? • What is the conditional distribution of r₁(3) = rt + rt-1 + rt-2 given rt-2 = 0.6?

3 (Sharpe-ratio) Suppose that X1, X2,..., is a lognormal geometric random walk with parameters (μ, o²). Specifically, suppose that X = Xo exp(rı + ...Tk), where Xo is a fixed constant and r1, T2, ... are IID N(μ, o²). Find the Sharpe-ratios of rk and log(Xk) — log(Xo) respectively, assuming the risk free return is 0.

Answer 2

Question

Chapter 3.4, Problem 12E

To determine

a)

The range of values that the contribution to the profit of an acre of Crop A can assume without changing the optimal solution.

To determine

b)

The range of values that the resource associated with the constraint on the available land can assume.

To determine

c)

The shadow price for the resource associated with the constraint on the available land.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 3.4, Problem 12E

To determine

a)

The range of values that the contribution to the profit of an acre of Crop A can assume without changing the optimal solution.

To determine

b)

The range of values that the resource associated with the constraint on the available land can assume.

To determine

c)

The shadow price for the resource associated with the constraint on the available land.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 3.4, Problem 12E

To determine

a)

The range of values that the contribution to the profit of an acre of Crop A can assume without changing the optimal solution.

To determine

b)

The range of values that the resource associated with the constraint on the available land can assume.

To determine

c)

The shadow price for the resource associated with the constraint on the available land.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 3.4, Problem 12E

To determine

a)

The range of values that the contribution to the profit of an acre of Crop A can assume without changing the optimal solution.

To determine

b)

The range of values that the resource associated with the constraint on the available land can assume.

To determine

c)

The shadow price for the resource associated with the constraint on the available land.

Answer 6

Chapter 3.4, Problem 12E

To determine

a)

The range of values that the contribution to the profit of an acre of Crop A can assume without changing the optimal solution.

Answer 7

Chapter 3.4, Problem 12E

To determine

a)

The range of values that the contribution to the profit of an acre of Crop A can assume without changing the optimal solution.

Answer 8

To determine

b)

The range of values that the resource associated with the constraint on the available land can assume.

Answer 9

To determine

b)

The range of values that the resource associated with the constraint on the available land can assume.

Answer 10

To determine

c)

The shadow price for the resource associated with the constraint on the available land.

Answer 11

To determine

c)

The shadow price for the resource associated with the constraint on the available land.

Answer 12

Expert Solution & Answer

Answer 13

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Answer 14

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Answer 15

Ch. 3.1 - a. What is the difference between the graph of the...Ch. 3.1 - Prob. 2CQ Ch. 3.1 - In Exercises 110, find the graphical solution to...Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - In Exercises 110, find the graphical solution to...Ch. 3.1 - In Exercises 110, find the graphical solution to...Ch. 3.1 - In Exercises 110, find the graphical solution to...Ch. 3.1 - In Exercises 110, find the graphical solution to...Ch. 3.1 - In Exercises 110, find the graphical solution to...

a) The range of values that the contribution to the profit of an acre of Crop A can assume without changing the optimal solution.

Solution Summary: The author calculates the range of values that the contribution to the profit of an acre of Crop A can assume without changing the optimal solution.

Videos

a)

The range of values that the contribution to the profit of an acre of Crop A can assume without changing the optimal solution.

b)

The range of values that the resource associated with the constraint on the available land can assume.

c)

The shadow price for the resource associated with the constraint on the available land.

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Chapter 3 Solutions

a) The range of values that the contribution to the profit of an acre of Crop A can assume without changing the optimal solution.

Solution Summary: The author calculates the range of values that the contribution to the profit of an acre of Crop A can assume without changing the optimal solution.

Videos

a) The range of values that the contribution to the profit of an acre of Crop A can assume without changing the optimal solution.

b) The range of values that the resource associated with the constraint on the available land can assume.

c) The shadow price for the resource associated with the constraint on the available land.

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Chapter 3 Solutions

a)

The range of values that the contribution to the profit of an acre of Crop A can assume without changing the optimal solution.

b)

The range of values that the resource associated with the constraint on the available land can assume.

c)

The shadow price for the resource associated with the constraint on the available land.