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학습질의응답>국제자격증>FRM>게시판>학습질의응답

제목 김종곤 강사님 FRM Part 1Valuation and Risk Models, Binomial Trees 등록일 2017-08-29
안녕하세요.
아래 문제 해설에서 e rT ?du?d =e .01*.25 ?81.2?8 =50.5%라고 했는데 문제에서 six-month american put option이라고 했기에 e^0.01*0.5라고 해야 정답이 나오지 않나요?
강사님의 설명에 항상 감사드립니다.
감사합니다.


You are the chief risk officer for a multinational bank. You are debating writing a six?month American put option on a nondividend paying stock ABC as a hedge, but need to verify the option pricing fits within the risk department's valuation models.

The current stock price is $75 and the strike price of the option is $78. In order to find the no?arbitrage price of the option:

You decide to use a two?step binomial tree model. The stock price can go up or down by 20% each period. Your personal view of the real?world state of the world is that the stock price has a 75% probability of going up each period and a 25% probability of going down.

You are assuming the Fed raises rates in 2016 and assume a constant risk?free rate of 1% per annum with continuous compounding.

What is the risk?neutral probability of the stock price going up in a single step?

48.5%

52.3%

74.5%

50.5%

(해설)
Probability of going up, e rT ?du?d =e .01*.25 ?81.2?8 =50.5%
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