4.32 Investment risk analysis. The risk of a portfolio of financial assets is sometimes called investment risk. In general, in- vestment risk is typically measured by computing the vari- ance or standard deviation of the probability distribution that describes the decision maker's potential outcomes (gains or losses). The greater the variation in potential outcomes, the greater the uncertainty faced by the decision maker; the smaller the variation in potential outcomes, the more predictable the decision maker's gains or losses. The two discrete probability distributions given in the next table were developed from historical data. They describe the potential total physical damage losses next year to the fleets of delivery trucks of two different firms. Loss Next Year $0 500 NW 1,000 1,500 2,000 2,500 Firm A 3,000 3,500 4,000 4,500 5,000 Firm B Probability Loss Next Year $0 200 .01 .01 35 .30 .02 .01 .01 .01 700 1,200 1,700 2,200 2,700 3,200 3,700 4,200 4,700 Probability 00 .01 .02 .30 .30 .02 01 a. Verify that both firms have the same expected total physical damage loss. b. Compute the standard deviation of each prob- ability distribution and determine which firm faces the greater risk of physical damage to its fleet next

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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4.32 Investment risk analysis. The risk of a portfolio of financial
assets is sometimes called investment risk. In general, in-
vestment risk is typically measured by computing the vari-
ance or standard deviation of the probability distribution
that describes the decision maker's potential outcomes
(gains or losses). The greater the variation in potential
outcomes, the greater the uncertainty faced by the decision
maker; the smaller the variation in potential outcomes,
the more predictable the decision maker's gains or losses.
The two discrete probability distributions given in the next
table were developed from historical data. They describe
the potential total physical damage losses next year to the
fleets of delivery trucks of two different firms.
Loss Next Year
SO
500
NW
1,000
1,500
2,000
2.500
Firm A
3.000
3,500
4,000
4,500
5,000
Firm B
Probability Loss Next Year
01
SO 0
.01
200
.01
700
1,200
1,700
2,200
2,700
3.200
3.700
4,200
4,700
30
.01
01
Probability
85984579985
.30
a. Verify that both firms have the same expected total
physical damage loss.
b.
Compute the standard deviation of cach prob.
ability distribution and determine which firm faces
the greater risk of physical damage to its fleet next
year.
Transcribed Image Text:4.32 Investment risk analysis. The risk of a portfolio of financial assets is sometimes called investment risk. In general, in- vestment risk is typically measured by computing the vari- ance or standard deviation of the probability distribution that describes the decision maker's potential outcomes (gains or losses). The greater the variation in potential outcomes, the greater the uncertainty faced by the decision maker; the smaller the variation in potential outcomes, the more predictable the decision maker's gains or losses. The two discrete probability distributions given in the next table were developed from historical data. They describe the potential total physical damage losses next year to the fleets of delivery trucks of two different firms. Loss Next Year SO 500 NW 1,000 1,500 2,000 2.500 Firm A 3.000 3,500 4,000 4,500 5,000 Firm B Probability Loss Next Year 01 SO 0 .01 200 .01 700 1,200 1,700 2,200 2,700 3.200 3.700 4,200 4,700 30 .01 01 Probability 85984579985 .30 a. Verify that both firms have the same expected total physical damage loss. b. Compute the standard deviation of cach prob. ability distribution and determine which firm faces the greater risk of physical damage to its fleet next year.
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