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Assume hedger takes hedge ratio as h* , i.e, if the risk exposure is a long position of 100 units of spot commodity, to hedge

  1. Assume hedger takes hedge ratio as h*, i.e, if the risk exposure is a long position of 100 units of spot commodity, to hedge the risk, hedger will short 100h* futures underlying on that commodity. Please answer the questions in the right panel in analogy to the left panel, by filling the blanks in j) r) below [6 marks in total, 0.5 marks each]:

If the stock price falls from 3 to 2, then

  1. the future price falls from 3 to 2;
  2. hedger makes profit (3-2)100h*=100h* from the future, at t=1;
  3. by investing the profit from t=1 till t=2, 100h* dollars profit becomes (1+0.1)100h*=110 h*;
  4. meanwhile, hedger makes a loss of 100(2-3)= -100 from the stock at t=1;
  5. hedger doesnt make further loss on stock from t=1 to t=2;
  6. net profit/loss is [110h*-100] dollars;
  7. stock price is 2 at t=2, hence the value of stock at t=2 is 2100=200;
  8. the value of futures is its gain and loss, hence, at t=2, its value is 110h*;
  9. the value of the portfolio is the sum of the value of stock and the value of futures, which is [200+110h*].

If the stock price rises from 3 to 4, then

  1. the future price____________________;
  2. hedger makes_________________from the future, at t=1;
  1. ___________________from t=1 till t=2, _______________becomes _______________________________;
  1. meanwhile, hedger makes a profit _______________from the stock at t=1;
  2. hedger doesnt make further _____________on stock from t=1 to t=2;
  3. net profit/loss is___________________;
  4. stock price is_____ at t=2, hence the value of stock at t=2 is______________;
  5. the value of futures is its gain and loss, hence, at t=2, its value is____________;
  6. the value of the portfolio is the sum of the value of stock and the value of futures, which is___________________.

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