Person A, Person B and Person C own stock in the same company. All of them are loss averse and have the same value function: v(x) = x/2 for gains and v(x) = 2x for losses. The stock's price is shown in the graph below 100 Stock Price 90 80 95 90 80 70 70 60 60 50 50 40 30 20 10 ° October November December January Feburary March (a) (b) (d) [ ]Person A bought the stock in November and uses the purchase price as their reference point. If you ask them, how much would they say that they lost in terms of value when the price dropped from £95 to £70? Person B bought the stock in October and uses the peak price as their reference point. If you ask them, how much would they say that they lost in terms of value in January? In January, which month should Person B rather use as reference point in order to maximize their value? Person C bought the stock in March. They expect to derive a value of at least +5 in April as compared to their reference point of the purchase price. What is the minimum price that the stock will need to have in April to fulfill C's expectations?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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Person A, Person B and Person C own stock in the same company. All of them are loss averse
and have the same value function: v(x) = x/2 for gains and v(x) = 2x for losses. The stock's
price is shown in the graph below
Stock Price
100
90
80
95
80
90
70
70
60
60
50
50
40
30
20
10
0
October
November December January
Feburary
March
(a)
(b)
O
Person A bought the stock in November and uses the purchase price as their
reference point. If you ask them, how much would they say that they lost in terms of
value when the price dropped from £95 to £70?
Person B bought the stock in October and uses the peak price as their reference
point. If you ask them, how much would they say that they lost in terms of value in
January?
In January, which month should Person B rather use as reference point in order
to maximize their value?
(d) [
Person C bought the stock in March. They expect to derive a value of at
least +5 in April as compared to their reference point of the purchase price. What is the
minimum price that the stock will need to have in April to fulfill C's expectations?
Transcribed Image Text:Person A, Person B and Person C own stock in the same company. All of them are loss averse and have the same value function: v(x) = x/2 for gains and v(x) = 2x for losses. The stock's price is shown in the graph below Stock Price 100 90 80 95 80 90 70 70 60 60 50 50 40 30 20 10 0 October November December January Feburary March (a) (b) O Person A bought the stock in November and uses the purchase price as their reference point. If you ask them, how much would they say that they lost in terms of value when the price dropped from £95 to £70? Person B bought the stock in October and uses the peak price as their reference point. If you ask them, how much would they say that they lost in terms of value in January? In January, which month should Person B rather use as reference point in order to maximize their value? (d) [ Person C bought the stock in March. They expect to derive a value of at least +5 in April as compared to their reference point of the purchase price. What is the minimum price that the stock will need to have in April to fulfill C's expectations?
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