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Two securities have the following current prices and payoffs in two equally likely states of nature at the end of the year: Payoff () Security

Two securities have the following current prices and payoffs in two equally likely states of nature at the end of the year:

Payoff ()

Security

State 1

State 2

Current price

A

20

30

9.1

B

40

15

11.2

a) What is the one-period risk-free interest rate? b) Suppose now that there are three states of nature and two securities. Discuss the possibility of finding a risk-free portfolio in this scenario.

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