1. Efficient portfolios For each of the following pairs of investments, state which would always be preferred by a rational investor (assuming that these are the onlyinvestments available to the investor):a. Portfolio A, r = 18% o = 20%; portfolio B, r = 14% 0 = 20%.b. Portfolio C, r = 15% 0 = 18%; portfolio D, r = 13% 0 = 8%.c. Portfolio E, r = 14% 0 = 16%; portfolio F, r = 14% 0 = 10%.

The objective of the question is to determine which portfolio a rational investor would prefer based…

Answered: 1. Efficient portfolios For each of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Consider the following model of a monopolistic form, where P is the sale price of the good, MC is marginal cost of producing the good and q is quantity produced (assumed equal to quantity sold) the firm has to sell all units of the good at the same price. p=10-2q MC=2+q If the firm produces 3 units, what total revenue will it receive? a. £4 b. £6 c. £12 d. £24
4.
4. Gursoy Furnitures sells office chairs ordered from its flagship store. It costs $100 to place an order, and the lead time is two weeks. Demand during lead time is N(40, 1.96). Gursoy Furnitures estimates that each stockout causes a loss of $50 in future goodwill. It pays $60 for each chair and sells it for $100. The annual holding a chair inventory is 30% of its purchase cost. a) Assuming that all demand is backlogged, what are the reorder point and the safety stock level? b) To meet 99% service objective, what should be the safety stock level for Type 1 Service? For Type 2 Service?
1. IfXis $5,000, R-15% and BV is $50,000, what is AE? -5000-(15%*50000) -2500 2. IfXis $25,000, R-18% and BV is $125,000, what is AE? -25000-(18 % 125000) 2500 3. Assume the firm in requirement 2 can increase x to $30,000 by instituting some cost-cutting measures. What is the new AE? -30000-(18 % 125000) 7500 4. Assume the firm in requirement 2 can divest $25,000 of unproductive capital with X falling by only $2,000. What is the new AE? -25000-2000-(18% *(125000-25000)) 5000 5. Assume the firm in requirement 2 can add a new division at a cost of $40,000, which will increase X by $7,600 per year. Would adding the new division increase AE? -25000+7600-(18% *( 125000+40000)) 2900 FALSE Assume the firm in requirement 1 can add a new division at a cost of $25,000, which will increase X by $3,500 per year. Would adding the new division increase AE? 5000+3500-(15%*50000+25000) -2750 FALSE
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3 Consider two assets: rı = (:) If the asset prices are qi 2, 1 r2 92 2 respectively, find the cost of the portfolio with returns ) in the two states -2 respectively.
A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r units of chemical R, where: Chemical P costs $100 a unit and chemical R costs $400 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $80,000. 2= 100p0.8.0.2 A) How many units each chemical (P and R) should be "purchased" to maximize production of chemical Z subject to the budgetary constraint? Units of chemical P, p = Units of chemical R, r = B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production, z= units
f. A drapper is required to supply two types of shirts type A and type B. The total number of shirts must not be more than 400. He has to supply more of type A than type B. However, the number of type A must not be more than 300 and the number of type B shirts must not be less than 80. Let x be the number of type A shirts and y be the number of type B shirts. If the profits were as follows: Type A Ksh 600 per shirt Type B Ksh 400 per shirt. Formulate a Linear Optimization Model, hence use the graphical method to determine the number of shirts of each type that should be made to maximize the profit.
The incumbent offers payments t1 and t2 for buyer 1 and 2, respectively, in exchange for an exclusive contract. If at least one buyer accepts an exclusive contract, there is no entry and both buyers get zero surplus. If both buyers reject the exclusive contract, entry occurs and buyer 1 gets a surplus of 90 while buyer 2 gets 130. The buyers decide simultaneously whether to accept or reject the offer. Assume that if a buyer gets the same payoff with both options, he/she accepts the exclusive contract. What are the contract offers t1 and t2 that minimise the payment of the incumbent to the buyer and prevent entry? B2 B1 Ассept Reject Ассept t1, t2 t,, 0 Reject 0, t2 90, 130 Page 10 t1 = 0 and t2 = 90 t1 = 130 and t2 = 90 t1 = 0 and t2 = 220 t1 = 90 and t2 = 130 O None of the above.
6) The following data is available for a simple hedonic home price model. Lot size and house size are continuous variables. For example, for every 100 square feet in house size, the value of the home increases by $150x100=15,000. Regarding proximity to a hospital, any home within 3 miles of a hospital is worth an additional $10,000 premium. Beyond 3 miles, there is no premium. What is the value of a 2,000 square foot home on a 5,000 square foot lot 2 miles from the hospital? Coefficient Value Description Lot size in Sq Ft House in Sq Ft Within 3 Miles of Hospital 60 150 10,000
Consider the following model of a monopolistic form, where P is the sale price of the good, MC is marginal cost of producing the good and q is quantity produced (assumed equal to quantity sold) the firm has to sell all units of the good at the same price. p=10-2q MC=2+q If the firm produces 3 units, what will its total cost be? a. £5 b. £10.5 c. £8.25 d. £15

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