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alex41 [277]
3 years ago
13

A stock is selling at $40, a 3-month put at $50 is selling for $11, a 3-month call at $50 is selling for $1, and the risk-free r

ate is 6%.How much, if anything, can be made on an arbitrage?
Business
1 answer:
aalyn [17]3 years ago
3 0

Answer:

$0.745

Explanation:

GIven that

Current stock price  S_o = $40

strike price  X = $50

time to expiry of option = 3 - month

put price option P _o = $11

call price option C_o = $1

and the risk-free rate r = 6%

The amount that can be made on the arbitrage can be evaluated as a function of the Put-call parity.

i.e For parity ;

C_o + (X \times e^{-rt} ) = P_o + S_o

1 + (50 \times e^{-(0.06 \times 0.25} ) = 11 + 40

1 + (50 \times 0.9851 ) = 51

1 + (49.255 ) = 51

50.255 = 51

the difference in both values above illustrates that there is no  parity taking place and the arbitrage estimation here = 51 - 50.255 = $0.745

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