Exam 12: Monte Carlo Simulation and Risk Analysis

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Use the information below to answer the following question(s). Below is a spreadsheet for Trance Electronics. A B C D E F 1 Trance Electronics 2 3 Data 4 5 Market size 20,000,000 6 Unit (monthly Rx) revenue \ 120.00 7 Unit (monthly Rx) cost \ 50.00 8 Discount rate 8\% 9 10 Project costs 11 R\&D \ 750,000,000 12 Clinical Trials \ 100,000,000 13 Total Project Costs 14 15 Model 16 17 Year 1 2 3 4 5 18 Market growth factor 4\% 4\% 4\% 4\% 19 Market size 20 Market share growth rate 18\% 18\% 18\% 18\% 21 Market share 7\% 22 Sales 23 24 Annual revenue 25 Annual costs 26 Profit 27 Cumulative net profit 28 29 Net present value Suppose that the project manager of Trance Electronics has identified the following uncertain variables in the model and the distributions and parameters that describe them, as follows: Market size: normal with mean of 20,000,000 units and standard deviation of 4,000,000 units. R&D costs: uniform between $600,000,000 and $800,000,000. Clinical trial costs: lognormal with mean of $150,000,000 and standard deviation $30,000,000. Annual market growth factor: triangular with minimum = 2%, maximum = 6%, and most likely = 3%. Annual market share growth rate: triangular with minimum = 15%, maximum = 25%, and most likely = 20%. The number of trials per simulation is equal to 10,000 at a Sim. Random Seed of 2. Run the simulation and answer the following questions using the Risk Solver Platform. -What is the risk that the net present value over the 5 years will not be positive?

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D

How does the Risk Solver Platform define an uncertain function cell?

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B

Use the information below to answer the following question(s). Below is a spreadsheet for Trance Electronics. A B C D E F 1 Trance Electronics 2 3 Data 4 5 Market size 20,000,000 6 Unit (monthly Rx) revenue \ 120.00 7 Unit (monthly Rx) cost \ 50.00 8 Discount rate 8\% 9 10 Project costs 11 R\&D \ 750,000,000 12 Clinical Trials \ 100,000,000 13 Total Project Costs 14 15 Model 16 17 Year 1 2 3 4 5 18 Market growth factor 4\% 4\% 4\% 4\% 19 Market size 20 Market share growth rate 18\% 18\% 18\% 18\% 21 Market share 7\% 22 Sales 23 24 Annual revenue 25 Annual costs 26 Profit 27 Cumulative net profit 28 29 Net present value Suppose that the project manager of Trance Electronics has identified the following uncertain variables in the model and the distributions and parameters that describe them, as follows: Market size: normal with mean of 20,000,000 units and standard deviation of 4,000,000 units. R&D costs: uniform between $600,000,000 and $800,000,000. Clinical trial costs: lognormal with mean of $150,000,000 and standard deviation $30,000,000. Annual market growth factor: triangular with minimum = 2%, maximum = 6%, and most likely = 3%. Annual market share growth rate: triangular with minimum = 15%, maximum = 25%, and most likely = 20%. The number of trials per simulation is equal to 10,000 at a Sim. Random Seed of 2. Run the simulation and answer the following questions using the Risk Solver Platform. -What are the chances that the product will show a cumulative net profit in the fourth year?

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C

Use the information below to answer the following question(s). Consider the following spreadsheet for an outsourcing decision model. A B 1 OutsourcingDecision Model 2 3 Data 4 5 Manufactured in-house 6 Fixed cost \ 60,000 7 Unit variable cost \ 130 8 9 Purchased from supplier 10 Unit cost \ 165 11 12 Demand volume 1,000 13 14 Model 15 16 Total manufacturing cost 17 Total purchased cost 18 19 Difference 20 Decision We assume that the production (demand) volume is normally distributed with a mean of 1,000 and a standard deviation of 100. For the unit cost, select the triangular distribution. It has a minimum value of $150, most likely value of $165, and a maximum value of $190. The number of trials per simulation is equal to 5,000 at a Sim. Random Seed of 1. Run the simulation and answer the following question(s) using the Risk Solver Platform. -What is the cost difference upper cutoff in thousands of dollars if the likelihood is 75%?

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Use the information below to answer the following question(s). Consider the following spreadsheet for an outsourcing decision model. A B 1 OutsourcingDecision Model 2 3 Data 4 5 Manufactured in-house 6 Fixed cost \ 60,000 7 Unit variable cost \ 130 8 9 Purchased from supplier 10 Unit cost \ 165 11 12 Demand volume 1,000 13 14 Model 15 16 Total manufacturing cost 17 Total purchased cost 18 19 Difference 20 Decision We assume that the production (demand) volume is normally distributed with a mean of 1,000 and a standard deviation of 100. For the unit cost, select the triangular distribution. It has a minimum value of $150, most likely value of $165, and a maximum value of $190. The number of trials per simulation is equal to 5,000 at a Sim. Random Seed of 1. Run the simulation and answer the following question(s) using the Risk Solver Platform. -What is the value of standard deviation obtained from the simulation results?

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Using an empirical distribution precludes sampling values outside the range of the actual data.

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Use the information below to answer the following question(s). Below is a spreadsheet for Trance Electronics. A B C D E F 1 Trance Electronics 2 3 Data 4 5 Market size 20,000,000 6 Unit (monthly Rx) revenue \ 120.00 7 Unit (monthly Rx) cost \ 50.00 8 Discount rate 8\% 9 10 Project costs 11 R\&D \ 750,000,000 12 Clinical Trials \ 100,000,000 13 Total Project Costs 14 15 Model 16 17 Year 1 2 3 4 5 18 Market growth factor 4\% 4\% 4\% 4\% 19 Market size 20 Market share growth rate 18\% 18\% 18\% 18\% 21 Market share 7\% 22 Sales 23 24 Annual revenue 25 Annual costs 26 Profit 27 Cumulative net profit 28 29 Net present value Suppose that the project manager of Trance Electronics has identified the following uncertain variables in the model and the distributions and parameters that describe them, as follows: Market size: normal with mean of 20,000,000 units and standard deviation of 4,000,000 units. R&D costs: uniform between $600,000,000 and $800,000,000. Clinical trial costs: lognormal with mean of $150,000,000 and standard deviation $30,000,000. Annual market growth factor: triangular with minimum = 2%, maximum = 6%, and most likely = 3%. Annual market share growth rate: triangular with minimum = 15%, maximum = 25%, and most likely = 20%. The number of trials per simulation is equal to 10,000 at a Sim. Random Seed of 2. Run the simulation and answer the following questions using the Risk Solver Platform. -What is the coefficient of variation obtained from the simulation results of the net present value?

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Use the information below to answer the following question(s). Below is a spreadsheet for Trance Electronics. A B C D E F 1 Trance Electronics 2 3 Data 4 5 Market size 20,000,000 6 Unit (monthly Rx) revenue \ 120.00 7 Unit (monthly Rx) cost \ 50.00 8 Discount rate 8\% 9 10 Project costs 11 R\&D \ 750,000,000 12 Clinical Trials \ 100,000,000 13 Total Project Costs 14 15 Model 16 17 Year 1 2 3 4 5 18 Market growth factor 4\% 4\% 4\% 4\% 19 Market size 20 Market share growth rate 18\% 18\% 18\% 18\% 21 Market share 7\% 22 Sales 23 24 Annual revenue 25 Annual costs 26 Profit 27 Cumulative net profit 28 29 Net present value Suppose that the project manager of Trance Electronics has identified the following uncertain variables in the model and the distributions and parameters that describe them, as follows: Market size: normal with mean of 20,000,000 units and standard deviation of 4,000,000 units. R&D costs: uniform between $600,000,000 and $800,000,000. Clinical trial costs: lognormal with mean of $150,000,000 and standard deviation $30,000,000. Annual market growth factor: triangular with minimum = 2%, maximum = 6%, and most likely = 3%. Annual market share growth rate: triangular with minimum = 15%, maximum = 25%, and most likely = 20%. The number of trials per simulation is equal to 10,000 at a Sim. Random Seed of 2. Run the simulation and answer the following questions using the Risk Solver Platform. -What is the correlation of the market size with the NPV with reference to the sensitivity chart?

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Which of the following best defines Monte Carlo simulation?

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Conduct Monte Carlo simulation using historical data and resampling techniques. Use the information below to answer the following question(s). Below is a spreadsheet for a hotel overbooking model. A B C D E 1 Hotel Overbooking Model Demand Probability 2 290 0.03 3 Data 295 0.05 4 300 0.08 5 Rooms av ailable 350 305 0.12 6 Price \ 120 310 0.15 7 Overbooking cost \ 100 315 0.20 8 320 0.15 9 Model 325 0.10 10 330 0.05 11 Reserv ation limit 350 335 0.04 12 Customer demand 320 340 0.02 13 Reservations made 345 0.01 14 Cancellations 15 15 Customer arrivals 16 17 Overbooked customers 18 Net revenue Assume that each reservation has a constant probability p = 0.04 of being cancelled. Answer the question(s) using the Risk Solver Platform. -With respect to B12, what is the range for values given in the Parameters section in the Discrete dialog?

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Use the information below to answer the following question(s). Below is a spreadsheet for Trance Electronics. A B C D E F 1 Trance Electronics 2 3 Data 4 5 Market size 20,000,000 6 Unit (monthly Rx) revenue \ 120.00 7 Unit (monthly Rx) cost \ 50.00 8 Discount rate 8\% 9 10 Project costs 11 R\&D \ 750,000,000 12 Clinical Trials \ 100,000,000 13 Total Project Costs 14 15 Model 16 17 Year 1 2 3 4 5 18 Market growth factor 4\% 4\% 4\% 4\% 19 Market size 20 Market share growth rate 18\% 18\% 18\% 18\% 21 Market share 7\% 22 Sales 23 24 Annual revenue 25 Annual costs 26 Profit 27 Cumulative net profit 28 29 Net present value Suppose that the project manager of Trance Electronics has identified the following uncertain variables in the model and the distributions and parameters that describe them, as follows: Market size: normal with mean of 20,000,000 units and standard deviation of 4,000,000 units. R&D costs: uniform between $600,000,000 and $800,000,000. Clinical trial costs: lognormal with mean of $150,000,000 and standard deviation $30,000,000. Annual market growth factor: triangular with minimum = 2%, maximum = 6%, and most likely = 3%. Annual market share growth rate: triangular with minimum = 15%, maximum = 25%, and most likely = 20%. The number of trials per simulation is equal to 10,000 at a Sim. Random Seed of 2. Run the simulation and answer the following questions using the Risk Solver Platform. -What is the standard deviation obtained from the simulation results of the net present value? [Hint: Choose the approximate value.]

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Answer the following question(s) using the Risk Solver Platform (5000 trials per simulation; use the Latin Hypercube sampling method). Consider the spreadsheet for a Newsvendor Model. A B C D E 1 Newsvendor Model Historical Candy Sales \ 264.00 2 50 \ 264.00 3 Data 45 \ 264.00 4 40 \ 228.00 5 Sellingprice \ 18.00 46 \ 264.00 6 Cost \ 12.00 43 \ 255.00 7 Discount price \ 9.00 43 \ 255.00 8 46 \ 264.00 9 Model 42 \ 246.00 10 44 \ 264.00 11 Demand 44 43 \ 255.00 12 Purchase Quantity 44 47 \ 264.00 13 41 \ 237.00 14 Quantity Sold 41 \ 237.00 15 Surplus Quantity 45 \ 264.00 16 51 \ 264.00 17 Profit 43 \ 255.00 18 45 \ 264.00 19 42 \ 246.00 20 44 \ 264.00 21 48 \ 264.00 22 Average Profit -What is the purchase quantity lower cutoff if the likelihood is 75%?

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Latin Hypercube sampling differs from Monte Carlo sampling in that the Latin Hypercube sampling .

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What are three types of Risk Solver Platform charts used to obtain multiple simulation results?

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Use the information below to answer the following question(s). Consider the following spreadsheet for an outsourcing decision model. A B 1 OutsourcingDecision Model 2 3 Data 4 5 Manufactured in-house 6 Fixed cost \ 60,000 7 Unit variable cost \ 130 8 9 Purchased from supplier 10 Unit cost \ 165 11 12 Demand volume 1,000 13 14 Model 15 16 Total manufacturing cost 17 Total purchased cost 18 19 Difference 20 Decision We assume that the production (demand) volume is normally distributed with a mean of 1,000 and a standard deviation of 100. For the unit cost, select the triangular distribution. It has a minimum value of $150, most likely value of $165, and a maximum value of $190. The number of trials per simulation is equal to 5,000 at a Sim. Random Seed of 1. Run the simulation and answer the following question(s) using the Risk Solver Platform. -What is the value of mode obtained from the simulation results?

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Use the information below to answer the following question(s). Below is a spreadsheet for Trance Electronics. A B C D E F 1 Trance Electronics 2 3 Data 4 5 Market size 20,000,000 6 Unit (monthly Rx) revenue \ 120.00 7 Unit (monthly Rx) cost \ 50.00 8 Discount rate 8\% 9 10 Project costs 11 R\&D \ 750,000,000 12 Clinical Trials \ 100,000,000 13 Total Project Costs 14 15 Model 16 17 Year 1 2 3 4 5 18 Market growth factor 4\% 4\% 4\% 4\% 19 Market size 20 Market share growth rate 18\% 18\% 18\% 18\% 21 Market share 7\% 22 Sales 23 24 Annual revenue 25 Annual costs 26 Profit 27 Cumulative net profit 28 29 Net present value Suppose that the project manager of Trance Electronics has identified the following uncertain variables in the model and the distributions and parameters that describe them, as follows: Market size: normal with mean of 20,000,000 units and standard deviation of 4,000,000 units. R&D costs: uniform between $600,000,000 and $800,000,000. Clinical trial costs: lognormal with mean of $150,000,000 and standard deviation $30,000,000. Annual market growth factor: triangular with minimum = 2%, maximum = 6%, and most likely = 3%. Annual market share growth rate: triangular with minimum = 15%, maximum = 25%, and most likely = 20%. The number of trials per simulation is equal to 10,000 at a Sim. Random Seed of 2. Run the simulation and answer the following questions using the Risk Solver Platform. -What is the correlation of the R&D cost with the NPV with reference to the sensitivity chart?

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As Monte Carlo simulation is essentially statistical sampling, the larger the number of trials used, the more precise is the result.

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Use the information below to answer the following question(s). Below is a spreadsheet for Trance Electronics. A B C D E F 1 Trance Electronics 2 3 Data 4 5 Market size 20,000,000 6 Unit (monthly Rx) revenue \ 120.00 7 Unit (monthly Rx) cost \ 50.00 8 Discount rate 8\% 9 10 Project costs 11 R\&D \ 750,000,000 12 Clinical Trials \ 100,000,000 13 Total Project Costs 14 15 Model 16 17 Year 1 2 3 4 5 18 Market growth factor 4\% 4\% 4\% 4\% 19 Market size 20 Market share growth rate 18\% 18\% 18\% 18\% 21 Market share 7\% 22 Sales 23 24 Annual revenue 25 Annual costs 26 Profit 27 Cumulative net profit 28 29 Net present value Suppose that the project manager of Trance Electronics has identified the following uncertain variables in the model and the distributions and parameters that describe them, as follows: Market size: normal with mean of 20,000,000 units and standard deviation of 4,000,000 units. R&D costs: uniform between $600,000,000 and $800,000,000. Clinical trial costs: lognormal with mean of $150,000,000 and standard deviation $30,000,000. Annual market growth factor: triangular with minimum = 2%, maximum = 6%, and most likely = 3%. Annual market share growth rate: triangular with minimum = 15%, maximum = 25%, and most likely = 20%. The number of trials per simulation is equal to 10,000 at a Sim. Random Seed of 2. Run the simulation and answer the following questions using the Risk Solver Platform. -What is the expected loss ratio obtained from the simulation results of the net present value?

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Answer the following question(s) using the Risk Solver Platform (5000 trials per simulation; use the Latin Hypercube sampling method). Consider the spreadsheet for a Newsvendor Model. A B C D E 1 Newsvendor Model Historical Candy Sales \ 264.00 2 50 \ 264.00 3 Data 45 \ 264.00 4 40 \ 228.00 5 Sellingprice \ 18.00 46 \ 264.00 6 Cost \ 12.00 43 \ 255.00 7 Discount price \ 9.00 43 \ 255.00 8 46 \ 264.00 9 Model 42 \ 246.00 10 44 \ 264.00 11 Demand 44 43 \ 255.00 12 Purchase Quantity 44 47 \ 264.00 13 41 \ 237.00 14 Quantity Sold 41 \ 237.00 15 Surplus Quantity 45 \ 264.00 16 51 \ 264.00 17 Profit 43 \ 255.00 18 45 \ 264.00 19 42 \ 246.00 20 44 \ 264.00 21 48 \ 264.00 22 Average Profit -What is the value of mean absolute deviation?

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Conduct Monte Carlo simulation using historical data and resampling techniques. Use the information below to answer the following question(s). Below is a spreadsheet for a hotel overbooking model. A B C D E 1 Hotel Overbooking Model Demand Probability 2 290 0.03 3 Data 295 0.05 4 300 0.08 5 Rooms av ailable 350 305 0.12 6 Price \ 120 310 0.15 7 Overbooking cost \ 100 315 0.20 8 320 0.15 9 Model 325 0.10 10 330 0.05 11 Reserv ation limit 350 335 0.04 12 Customer demand 320 340 0.02 13 Reservations made 345 0.01 14 Cancellations 15 15 Customer arrivals 16 17 Overbooked customers 18 Net revenue Assume that each reservation has a constant probability p = 0.04 of being cancelled. Answer the question(s) using the Risk Solver Platform. -With respect to B14, what should the number of trials correspond to in the Parameters section of the Binomial dialog?

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