RMI 2101 Fall 2016 Homework Assignment 7 28 Points Due on Wednesday, November 2, 2016 AT THE BEGINNING OF CLASS 1. Manaca Company owns a small office building worth $100,000. Art Vandelay is the risk manager. Manaca faces the risk of fire which would completely destroy their building. The probability of a fire is known to be 5%. Manaca is considering the following risk management options to address the risk of fire to their building: [1] Retention [2] Full Insurance for a premium of $4,000 [3] Safety Program + Retention [4] Safety Program + Full Insurance [premium falls to $3,000] The cost of the Safety Program is $600. It has the impact of lowering the probability of a fire from 5% to 3%. However, if a fire does occur it is still a total loss. a. Construct a loss matrix. [4 point] b. What is the actuarially fair premium [AFP] in this case? [1 point] c. What is the AFP when safety is introduced? [2 points] Assume Art’s worry value for retention (WVR) is $2,000 and for retention and safety (WVRS) is $1,200. d. If Art decides to minimize TOTAL COST, what risk management option does he choose? Make sure that you show all calculations and clearly define TOTAL COST in each case. [4 points] e. What is Art’s PMAX for full insurance? [1 point] f. During a meeting, the Chief Risk Officer (CRO) told Art that the most he would pay for full insurance is $7,500. What is the CRO’s WVR? [1 point] g. Who is more risk averse, the CRO or Art? Explain. [2 points] 2. Kramerica Company has a small plant worth $60,000. The plant is subject to physical damages and total destruction as a result of fire. From over 10,000 industry observations, the firm has derived the following probability distribution of fire losses for its physical plant. Loss Amount ($) Probability of Loss 0 0.4 20,000 0.3 40,000 0.2 60,000 ? Kramerica is considering the following risk management options: [1] Retention [2] Partial insurance - Face Amount = $50,000; Premium = $1,200 [3] Deductible insurance - Face Amount = $60,000; Deductible per occurrence = $800; Premium = $1,500 [4] Full insurance - Face Amount = $60,000; Premium = $7,000 a. Construct the loss matrix. [4 points] b. Assume that the firm decides to choose a risk management alternative without including valuation for subjective risk. What risk management option is chosen? Show all work and calculations. [4 points] c. What worry value(s) would make full insurance preferred to partial insurance? Show all work and calculations and explain your numerical answer. [2 points] d. What worry value(s) would make deductible insurance preferred to partial insurance? Show all work and calculations and explain your numerical answer. [3 points] Assignment # 3 Fryer’s Choice produces a specially blended vegetable oil widely used in restaurant deep fryers. The blending process creates a cooking oil that can be heat ...