Evaluate this offer and recommend whether or not

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1.Short-term interest rates are 5%.  An at-the-money six-month $95 call sells for $7.  What is the parity value for a six-month at-the-money put, assuming the underlying stock pays no dividends?

2. One-year interest rates are 5%.  A stock currently sells for $40 and will either rise to $50 or fall to $35 in six months.  Using the binomial option pricing model, determine the fair value of a $45 call.

3. Your company owns coastal land worth $1 million.  Pending the outcome of a regulatory decision, in six months the land will either increase in value by exactly 60% or remain unchanged in value.  A real estate speculator offers your firm $50,000 for the right to buy the land anytime within the next six months for $1.3 million.  The interest rate is 8% per year.

Evaluate this offer and recommend whether or not your company should accept it.

4. A $50, one-year call sells for $4; a $50 one-year put sells for $6.45.  If the one-year interest rate is 8%, calculate the implied stock price.

5. Suppose one-year interest rates are 6%.  A stock currently sells for $100 and at the end of one year will sell for either $110 or $95.

a. Using binomial pricing, calculate the value of a $105 call.

b. Using your answer to part a and the theory of put call parity, calculate the value of a $105 put.

6. Indicate whether the option premium will rise or fall:

 

 

Increase in interest rates

Call à

_____

Put à

_____

Decrease in time until expiration

Call à

_____

Put à

_____

Decrease in stock volatility

Call à

_____

Put à

_____

Unexpected increase in cash dividends

Call à

_____

Put à

_____

 

 

Reference no: EM13515862

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