Question: Show all work so I can learn, and please don't copy and paste answers. Thanks! ________________________________ Assume the Black-Scholes framework. You are given: S(t) is

Show all work so I can learn, and please don't copy and paste answers. Thanks!

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Assume the Black-Scholes framework. You are given:

  1. S(t) is the stock price at time t.
  2. The stocks volatility is 25%.
  3. The continuously compounded expected rate of return is 8%.
  4. The stock pays dividends continuously at a rate of 3% proportional to its price.
  5. The continuously compounded risk-free interest rate is 4%.
  6. The current stock price is S(0)=125.

Determine the expected value of S(7).

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A) 119

B) 142

C) 154

D) 165

E) 177

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