a) An investor is given the following information: Payoff State 1 State 2 Security Market prices (s=1) (s=2) X £15 £20 PJ = £19 Y £25 £10 PK = £25 Explaining the method(s) and the underlining concept(s), how could the investor use Arrow- Debreu pure securities to replicate the payoff of security X and security Y? What are the prices of pure security 1 and pure security 2? b) Explaining the method, compute the capital weights on portfolios of X and Y assets that replicate the payoffs of pure securities 1 and 2. Further consider that an investor has an initial wealth of £1000 - he can short-sell securities; however, he must be able to meet all claims under the occurrence of either state. Explaining the method, what is the maximum number of security Y he could sell (short selling) to buy security X? (investor may buy fractions of shares).

Entrepreneurial Finance
6th Edition
ISBN:9781337635653
Author:Leach
Publisher:Leach
Chapter8: Securities Law Considerations When Obtaining Venture Financing
Section: Chapter Questions
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a) An investor is given the following information:
Payoff
State 1 State 2
Security
Market prices
(s=1)
(s=2)
X
£15
£20
PJ = £19
Y
£25
£10
PK = £25
Explaining the method(s) and the underlining concept(s), how could the investor use Arrow-
Debreu pure securities to replicate the payoff of security X and security Y? What are the
prices of pure security 1 and pure security 2?
Transcribed Image Text:a) An investor is given the following information: Payoff State 1 State 2 Security Market prices (s=1) (s=2) X £15 £20 PJ = £19 Y £25 £10 PK = £25 Explaining the method(s) and the underlining concept(s), how could the investor use Arrow- Debreu pure securities to replicate the payoff of security X and security Y? What are the prices of pure security 1 and pure security 2?
b) Explaining the method, compute the capital weights on portfolios of X and Y assets that
replicate the payoffs of pure securities 1 and 2. Further consider that an investor has an
initial wealth of £1000 - he can short-sell securities; however, he must be able to meet all
claims under the occurrence of either state. Explaining the method, what is the maximum
number of security Y he could sell (short selling) to buy security X? (investor may buy
fractions of shares).
Transcribed Image Text:b) Explaining the method, compute the capital weights on portfolios of X and Y assets that replicate the payoffs of pure securities 1 and 2. Further consider that an investor has an initial wealth of £1000 - he can short-sell securities; however, he must be able to meet all claims under the occurrence of either state. Explaining the method, what is the maximum number of security Y he could sell (short selling) to buy security X? (investor may buy fractions of shares).
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