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You are given the following stock information and are also told that the zero-beta return (? 0 ) = 1%, and the risk premia are

You are given the following stock information and are also told that the zero-beta return (?0) = 1%, and the risk premia are ?1 = 4%, ?2 = 2%. Assume that all three stocks are currently priced at $15. (see following table)

The new prices now (today) for stocks A, B and C that will not allow for arbitrage profits are:___________

My question here is how to calculate the price that will not allow arbitrage:

I already did the return calculation:

A: E(r)=1%+4%*2.5+2%*0.8=12.6%

B:E(r)=1%+4%*(-0.5)+2%*4.5=8%

C: E(r)=1%+4%*3.2+2%*(-1.2)=11.4%

I have two ways to calculate, but they gave me different answers,

First method:

PA*(1+12.6%)=16.5, PA=14.65

PB*(1+8%)=16.5, PB=15.27

Pc*(1+11.4%)=16.5, Pc=14.81

Second method:

(16.5-PA+1)/PA=12.6%, PA=15.54

(16.5-PB+0.5)/PB=8%, PB=15.74

(16.5-Pc+1.75)/Pc=11.4%, PC=16.38

Which one is correct?Why?

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