Suppose there are two periods, O and 1. Denote Stochastic discount factor by m(51), where s1 is a random state, 51€ S and Expectation under physical probabilities by E. Denote the payoff of an asset in each state by (s1). Select all (possibly multiple) claims which are true.

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Chapter2: Second-order Linear Odes
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Suppose there are two periods, O and 1. Denote Stochastic discount factor by m(51), where s1 is a random state, 51€ S and Expectation under physical probabilities by E. Denote the payoff of an asset in each state by
(s1). Select all (possibly multiple) claims which are true.
 
Select one or more:
O a. Discount factor = E{m(s1)]
O b. The price of the asset at period O = E(v(51)m(s+)]
O c. Atomic (Arrow securities) prices are equal to the stochastic discount factor for each state times the probability of each state.
O d. Risk neutral probability is equal to the stochastic discount factor for each state times the probability of each state divided by E[m(s1)].
O e. The stochastic discount can be negative (for standard instantaneous utility we considered)
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