Saturday 31 August 2013

Valuation of a forward contract for different scenarios: Please attempt

Given Information:

A portfolio manager owns XYZ Inc. which is currently trading a $35 per share.

He plans to sell the stock in 120 days but is concerned about a possible price decline.

He decides to take a short position in a 120 day FC (Forward Contract) on the stock.

The stock will pay a $0.50 per share div. in 35 days & $0.50 again in 125 days.

The risk free rate is 4%.

What is the value of the trader's position in the FC in 45 days, assuming the strike price is $27.50?

The answer for the above question was discussed in my previous post. Now the question is amended for different situations as expressed below:

Scenario 1:

A portfolio manager owns XYZ Inc. which is currently trading a $35 per share.

He plans to sell the stock in 120 days but is concerned about a possible price decline.

He decides to take a short position in a 120 day FC on the stock.

The stock will pay a $0.50 per share div. on 35th day & another $0.50 again on 75th day.

The risk free rate is 4%.

What is the value of the trader's position in the FC in 75 days, assuming the strike price is $27.50?

NOW: Scenario (2):

A portfolio manager owns XYZ Inc. which is currently trading a $35 per share.

He plans to sell the stock in 120 days but is concerned about a possible price decline.

He decides to take a short position in a 120 day FC on the stock.

The stock will pay a $0.50 per share div. on 35th day & another $0.50 again on 75th day.

The risk free rate is 4%.

What is the value of the trader's position in the FC at the end of FC agreement period (on 120th day), assuming the strike price is $27.50?

NOW: Scenario (3):

A portfolio manager owns XYZ Inc. which is currently trading a $35 per share.

He plans to sell the stock in 120 days but is concerned about a possible price decline.

He decides to take a short position in a 120 day FC on the stock.

The stock will pay a $0.50 per share div. on 35th day & another $0.50 again on 75th day.

The risk free rate is 4%.


What is the value of the trader's position in the FC at the start of FC agreement period (on 1st  day), assuming the strike price is $27.50?


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