Arbitrage 11. (4pt) Today is t = 0, and assume that there are two possible states of the world in next year (t = 1), either s = good or s = bad. There are two risky assets (G and B) traded at the same price p today. Their payoff in the next year depends on the realized state in the future, as specified in the following table. State(s) good bad Asset G payoff Asset B payoff $1 $0 $0 $1 For example, asset G pays out $1 (per share) if the future state is good, while pays out nothing if the state is bad. You can also save/borrow at risk-free rate r = 8% and call this opportunity the safe asset. Assuming that there is no risk other than uncertainty about s, there is no arbitrage between the risky assets and the safe asset if p = (a) $1.08 (b) $1.00 (c) $0.46 (d) $0.54 (e) $0.65 1. (5pt) Consider the same situation as Q11 above, while the payoff matrix has changed to the following table. When r = 8%, what is the arbitrage price p? State(s) Asset G payoff Asset B payoff (a) $1.00 (b) $1.12 (c) $1.30 (d) $1.48 (e) $1.88 good $4 bad $1 $0 $2
Arbitrage 11. (4pt) Today is t = 0, and assume that there are two possible states of the world in next year (t = 1), either s = good or s = bad. There are two risky assets (G and B) traded at the same price p today. Their payoff in the next year depends on the realized state in the future, as specified in the following table. State(s) good bad Asset G payoff Asset B payoff $1 $0 $0 $1 For example, asset G pays out $1 (per share) if the future state is good, while pays out nothing if the state is bad. You can also save/borrow at risk-free rate r = 8% and call this opportunity the safe asset. Assuming that there is no risk other than uncertainty about s, there is no arbitrage between the risky assets and the safe asset if p = (a) $1.08 (b) $1.00 (c) $0.46 (d) $0.54 (e) $0.65 1. (5pt) Consider the same situation as Q11 above, while the payoff matrix has changed to the following table. When r = 8%, what is the arbitrage price p? State(s) Asset G payoff Asset B payoff (a) $1.00 (b) $1.12 (c) $1.30 (d) $1.48 (e) $1.88 good $4 bad $1 $0 $2
Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter8: Basic Stock Valuation
Section: Chapter Questions
Problem 4MC
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Please correct answer and don't use hand raiting
![Arbitrage
11. (4pt) Today is t = 0, and assume that there are two possible states of the world in next
year (t = 1), either s = good or s = bad. There are two risky assets (G and B) traded
at the same price p today. Their payoff in the next year depends on the realized state
in the future, as specified in the following table.
State(s)
good
bad
Asset G payoff Asset B payoff
$1
$0
$0
$1
For example, asset G pays out $1 (per share) if the future state is good, while pays out
nothing if the state is bad. You can also save/borrow at risk-free rate r = 8% and call
this opportunity the safe asset. Assuming that there is no risk other than uncertainty
about s, there is no arbitrage between the risky assets and the safe asset if p =
(a) $1.08
(b) $1.00
(c) $0.46
(d) $0.54
(e) $0.65
1. (5pt) Consider the same situation as Q11 above, while the payoff matrix has changed
to the following table. When r = 8%, what is the arbitrage price p?
State(s) Asset G payoff Asset B payoff
(a) $1.00
(b) $1.12
(c) $1.30
(d) $1.48
(e) $1.88
good
$4
bad
$1
$0
$2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e4ce972-fe36-45f5-acf8-79273ba528a4%2F14de3b7a-67c6-430d-8860-4ad16ed7ef45%2Frbh76ts_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Arbitrage
11. (4pt) Today is t = 0, and assume that there are two possible states of the world in next
year (t = 1), either s = good or s = bad. There are two risky assets (G and B) traded
at the same price p today. Their payoff in the next year depends on the realized state
in the future, as specified in the following table.
State(s)
good
bad
Asset G payoff Asset B payoff
$1
$0
$0
$1
For example, asset G pays out $1 (per share) if the future state is good, while pays out
nothing if the state is bad. You can also save/borrow at risk-free rate r = 8% and call
this opportunity the safe asset. Assuming that there is no risk other than uncertainty
about s, there is no arbitrage between the risky assets and the safe asset if p =
(a) $1.08
(b) $1.00
(c) $0.46
(d) $0.54
(e) $0.65
1. (5pt) Consider the same situation as Q11 above, while the payoff matrix has changed
to the following table. When r = 8%, what is the arbitrage price p?
State(s) Asset G payoff Asset B payoff
(a) $1.00
(b) $1.12
(c) $1.30
(d) $1.48
(e) $1.88
good
$4
bad
$1
$0
$2
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