A european call option to buy a share

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Reference no: EM13831797

1.    An investor buys a European put on a share for $1.  The stock price is currently $21 and the strike price is $17.  When does the investor make a profit?

a.    Price is less than $20

b.    Price is less than $16

c.    Price is less than $17 

2.    Suppose a European call option to buy a share for $22.00 costs $1.50.  The stock currently trades for $19.00.  If the option is held to maturity under what conditions does the holder of the option make a profit?  Note:  ignore time value of money.

a.    When the price of the stock is greater than $23.50.

b.    When the price of the stock is greater than $20.50.

c.    When the price of the stock is greater than $22.00. 

3.    The market price of ZYX stock has been volatile and you expect that volatility to continue for a few weeks based on recent news.  Due to this belief you decide to purchase calls and puts to manage your exposure.  You purchase a one-month call option with a strike price of $25 and an option price of $1.30.  You also purchase a one-month put option with a strike price of $25 and an option price of $0.50.  What will be your total profit or loss on these option positions if the stock price is $26.0 on the day the options expire?

A.$100

B. -$80

C.-$180

 

4.    Use two-state option pricing model to find the value of a call option and the intrinsic value given the following parameters:

T-bills yield:                                                                                                     4.0 pct

Current stock price:                                                                                        $44.00

No possibility stock will be worth less this amount in one year:                     $42.00

Exercise Price:                                                                                            $34.00

 

A.    Value of call = $9.31, Intrinsic Value = $10.00

B.    Value of call = $11.31, Intrinsic Value = $2.00

C.   Value of call = $11.31, Intrinsic Value = $10.00 

5.    

Given the following option quote information:

 

Calls

Puts

Option and NY Close

Expiration

Strike Price

Volume

Last

Volume

Last

XYZ

 

 

 

 

 

 

 

February

108

85

7.55

40

0.60

 

March

108

61

8.55

22

1.55

 

May

108

22

10

11

2.85

 

August

108

3

12.5

3

4.70

 

The current stock price is $114.00 and  the stock price on the expiration date is $141.00.  How much is your options investment worth? (ignore commissions)

A.      $27,000.00

B.      $330.00

C.      $33,000.00

 6.    Given the following parameters use put-call parity to determine the price of a put option with the same exercise price.

Current stock price:

$48.00

Call option exercise price: 

$50.00

Sales price of call options: 

$3.80

Months until expiration of call options: 

3

Risk free rate: 

2.6 percent

Compounding:    

continuous

 A.      Price of put option = $5.48

B.      Price of put option = $6.13

C.      Price of put option = $4.52

 7.    Given the following parameters use risk-neutral valuation to value a call option.

Current stock price:

$65.00

Stock will increase or decrease next year by:

15 pct.

Call Option strike price:

$60.00

Time to expiration:

1 year

Risk free rate: 

8 pct.

 A.      Value of call: $9.44

B.      Value of call: $10.47

C.      Value of call: $13.66

 

8.    A bond has 4 years to maturity, a coupon of 6 percent paid annually and currently sells at par.  What is the duration of the bond?

A.    4.6 Years

B.    3.67 Years

C.   3.82 Years

 

9.    You have entered into a forward contract with the following parameters:

Bond: 

5 year, zero coupon bond

Issuance:

Will be issued in 1 year

Face Value: 

$1000

1 year spot rate:

3 pct.

10 year spot rate:  

6 pct.

 A.      Forward price = $726.11

B.      Forward price = $769.68

C.      Forward price = $704.96

 10.  Use Black Scholes to Value the put and call given the following criteria.  The stock price six months from the expiration of an option is $52.00, the exercise price of the option is $49, the risk free interest rate is 10 percent per annum, and the volatility is 20% per annum.   

A.    c = 6.26, p = 0.88

B.    c = 4.10, p = 1.56

 

C.   c = 3.00, p = 2.29

Reference no: EM13831797

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