What is the value of a derivative that pays off at this time, Finance Basics

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What is the value of a derivative that pays off at this time

Problem

A stock price is currently $25. It is known that at the end of 2 months it will be either $23 or $27. The risk-free interest rate is 10% per annum with continuous compounding. Suppose St is the stock price at the end of 2 months. What is the value of a derivative that pays off S2t at this time?

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Finance Basics: What is the value of a derivative that pays off at this time

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