Choc Full of Good Inc., a producer of powdered hot chocolate, has just received a large order that will require the purchase of 800 metric tons of cocoa in 3 months. The current spot price of cocoa is US $3,055 per metric ton. The standard deviation of the change in spot cocoa price is 0.2. Mr. Dulce, the CFO of Choc Full, is considering a minimum-variance hedge of this future cocoa purchase using the three-month cocoa futures contract. The contract size is 10 metric tons. The standard deviation of the change in cocoa futures price is 0.25. The covariance between the change in the spot and futures cocoa price is 0.035. The annually compounded interest rate faced by the company is 5%, the three-month storage cost is $2.5 per metric ton, and the convenience yield is $0.5 per metric ton. What is the estimated effectiveness of this minimum variance hedge?

Choc Full of Good Inc., a producer of powdered hot chocolate, has just received a large order that will require the purchase of 800 metric tons of cocoa in 3 months. The current spot price of cocoa is US $3,055 per metric ton. The standard deviation of the change in spot cocoa price is 0.2. Mr. Dulce, the CFO of Choc Full, is considering a minimum-variance hedge of this future cocoa purchase using the three-month cocoa futures contract. The contract size is 10 metric tons. The standard deviation of the change in cocoa futures price is 0.25. The covariance between the change in the spot and futures cocoa price is 0.035. The annually compounded interest rate faced by the company is 5%, the three-month storage cost is $2.5 per metric ton, and the convenience yield is $0.5 per metric ton. What is the estimated effectiveness of this minimum variance hedge?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section7.3: Pricing Models

Problem 5P

See similar textbooks

D & R A1 10 - 6

Question 10. Minimum Variance Commodity Hedge

What is the estimated effectiveness of this minimum variance hedge?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Pricing Decisions at Madison The Madison Company manufactures and retails a certain product. The company wants to determine the price that maximizes its profit from this product. The unit cost of producing and marketing the product is 50. Madison will certainly charge at least 50 for the product to ensure that it makes some profit. However, there is a very competitive market for this product, so that Madisons demand falls sharply when it increases its price. How should the company proceed?2 In the pricing model in Example 7.1 with the constant elasticity demand function, the assumption is that all units demanded are sold. Suppose the company has the capacity to produce only 200 units. If demand is less than capacity, all of demand is sold. If demand is greater than or equal to capacity, only 200 units are sold. Use Solver to find the optimal price and the corresponding profit. Then use SolverTable to see how sensitive these answers are to the production capacity, letting it vary from 170 to 230 in increments of 10. Discuss your findings relative to the original solution in Example 7.1. In other words, what is the effect of capacity on the optimal price and profit?
Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.
9.5 Capital Healthplans Inc. is evaluating two different methods for providing home health services to its members. Both methods involve contracting out for services, and the health outcomes and revenues are not affected by the method chosen. Therefore, the net cash flows for the decision are all outflows. Here are the projected flows: Year Method A ($) Method B ($) 0 (300,000) (120,000) 1 (66,000) (96,000) 2 (66,000) (96,000) 3 (66,000) (96,000) 4 (66,000) (96,000) 5 (66,000) (96,000) What is each alternative’s IRR? If the opportunity cost of capital for both methods is 9 percent, which method should be chosen? Why?
5. Daniel is planning to earn money over the summer mowing lawns in the neighborhood to buy a scooter. The scooter he wants costs $2,200. He will be charging $19.1/lawn and estimates his costs to be $2.7/lawn. How many lawns must he mow in order to pay for the scooter entirely through his earnings? a. 115.18 b. None of the other options. c. -134.15 d. 134.15 e. 112.48 f. 2562.20
1.The company has three months (April. May and June) for subtracting the units for both NOOR-Company's and AL-SALAM company 2. The company should first satisfy AlNOOR company demand then AL-SALAM company demand. 3. Both production units will work in producing the units 4. Production Unit B will be busy during April 5. The company can work up to 24 hours per day 6. The profit should be at least $1500 Do you think that XYZ-Company should accept or reject the offer?
Course: Microeconomic - Long and short run costs The company "Mr. Tomas" manufactures tricycles being its productive inputs steering wheels, frames and seats (v) and wheels (r). Each tricycle has 3 wheels (Pr = $2) and 1 steering wheel, 1 seat and 1 frame (Pv = $4). Determine:a. The production function of "Mr. Tomas"b. The short-run cost function (for r = 30).c. The long-run cost functiond. How much it costs the firm to produce:1. the tenth unit in both the short run and the long run?2. the 40th unit?
M. P. VanOyen Manufacturing has gone out on bid fora regulator component. Expected demand is 700 units per month.The item can be purchased from either Allen Manufacturing orBaker Manufacturing. Their price lists are shown in the table.Ordering cost is $50, and annual holding cost per unit is $5.ALLEN MFG. BAKER MFG.QUANTITY UNIT PRICE QUANTITY UNIT PRICE1–499 $16.00 1–399 $16.10500–999 15.50 400–799 15.601,0001 15.00 8001 15.10a) What is the economic order quantity?b) Which supplier should be used? Why?c) What is the optimal order quantity and total annual cost ofordering, purchasing, and holding the component? PX
6. A farmer wants to start growing broiler chickens on his farm. he realizes that he needs to start with 8000 birds. Each bird will feed a ratio of 8:20: 4 respective of their starter, grower and finisher. the price of starter is k570, grower 525 and finisher 490 per bag. assuming the birds will have a mortality survival of 90% and the total cost of the business is 20% the revenues generated from the sales of birds at k90 each.a. calculates the profitb. given the profit function of 20x-xy-1.5y^2+25y, calculate the profitc. compare the two profits calculated above and give a management decision of the farm
D&R A3 3 - 2 Question 3. FRA Pricing, Valuation, Payoff, and Hedging Today is June 1. Sustainable Corporation has an obligation of $25 million coming due on August 1. The company is planning to borrow this amount on August 1 to fulfill its obligation, and plans to pay back the loan on December 1. The company’s borrowing rate is LIBOR + 125 basis points. The company’s bank presents it with the following LIBOR term structure: # days LIBOR 30 0.90% 60 1.00% 90 1.05% 120 1.10% 150 1.15% 180 1.18% 210 1.20% 240 1.21% For the calculation of interest, the bank assumes 30 days in a month, and 360 days in a year. Ms. Devro, the VP Finance of Sustainable, is worried that LIBOR will increase between June and August, thus increasing the company’s borrowing cost. She advises that the company enters into a forward rate agreement (FRA) with its bank to hedge its interest rate risk. She has asked you, the treasurer of the company, to…
Erett's utillity function can be written as a where zy the quanity of hambargers conmutned and zy is the quantity of milk shakes. e Income le $2,000 00. 2nd attempt Part 1 Hamburgers cost $8.00 each and the price of one milk shake is $4.00, If he is maximiziog his utility, how much will Brett spendon hamburgers? S20 Part 2 The price of hamburgers decreases to $7.37 each. Now, how much will Brett spend on hamburgers if he is maimiping his utikity? S 135.68
Kai is perplexed by the manufacturer’s invoice, which specifies the product’s negotiated price of $100,000 plus a discount of 3/10 net 30. You explain that if your company pays the invoice within 10 days, it will only have to pay a. $103,000 b. $92,000 c. $70,000 d. $100,000 e. $97,000 Component parts are an example of a firm's costs. a. breakeven b. fixed c. operating d. variable e. selling Greta has an idea for a new product. She wants to market outdoor holiday LED lights that can change their colors so that consumers can hang them outside year-round and alter the colors of the lights to match the season: multicolor for Christmas or blue and white for Hanukkah, orange and black for Halloween, and pastel colors for Easter. Because she wants such a product herself, she believes that others will want such a product as well. She thinks she has the financial resources to develop and market the product. In order to develop the product, what should her next step be? a. Technical…
4. Ana owns a consulting business that helps software companies market their services to school districts. She earns an average of $4635.7 for every contract one of her client companies signs with her help. In order to be able to run her business, she needs to cover $7,000/month (rent, licenses, etc.). The average costs associated with each contract are $1676.6. How many contracts must she facilitate each month in order to break even? a. 2.37 b. 1.51 c. -2.37 d. -1675.09 e. 10966.14 f. None of the other options.