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I have a question on no-arbitrage price range, but I'm confused that there are 2 solutions with different answers. please enlighten me. Law of One

image text in transcribedI have a question on no-arbitrage price range, but I'm confused that there are 2 solutions with different answers. please enlighten me.

Law of One Price states that in competitive markets, the same good or securities must have the same price. On the basis of same law, the price that portfolio of securities is trading is equal to the sum of the price of securities within the portfolio (JNJ and Bond) The Bid price of portfolio is $141.65 The Ask price of portfolio is $142.25 The Bid price of bond is $91.75 The Ask price of bond is $91.95 Solution 1 The formula to find the bid price of portfolio is: Bid price ofportfolio Bid price of band Bid price of JNJstock Substitute the values in the formula S14165-91.75+Bidpice of JNJstock Bidprice of JNJstock $141.65-$91.75 I have 2 versions of solution on 1 question. Which solution is right as to no-arbitrage price range for JNJ? Solution 2 According to the Law of One Price, the price that portfolio of securities is trading at is equal to the sum of the price of securities within the portfolio. If the portfolio, composed of a bond and JNJ stock is currently trading with a bid price of $141.65 and an ask price of $142.25, and the bond is trading at a bid price of S91.75 and an ask priceo $91.95, then the no-arbitrage price of the stock should be between 141 an 1.75) or between an -$49 90 So, the bid price of JNJ stock is $49.9 e Ask price of the portfolio is calculated by the formula: Ask pice of portfoo -Askpice of bond +Ask price of JNJstock Substitute the values in the formula: S14225-9195+Askprice of JNJstock Ask pnceofJNstock= $142.25-$9195 Askpiceof JNJstock $50 30 So, the ask price of JNJ stock is $50.3 The no-arbitrage price of JNJ stock should be between $49.90 and $50.30. If the price of stock falls below $49.90 or rise above $50.30 then arbitrage opportunity would exist

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