Netflix is selling for $100 a share. A Netflix call option with one month until expiration and an exercise price of $105 sells for $2 while a put with the same strike and expiration sells for $6.94.
a. What is the market price of a zero-coupon bond with face value $105 and 1-month maturity? (Round your answer to 2 decimal places.)
b. What is the risk-free interest rate expressed as an effective annual yield? (Round your answer to 1 decimal place.)
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As per put-call parity
P+ S = present value of X + C
P= value of put option.
S= current price of the share
X= strike price
C= value of call option.
Present value of X = X/e^r
r = risk free rate.
Given:
P= value of put option = 6.94
S= current price of share=100
X= strike price = 105
Present value of X = 105/e^(r/12)
r = risk free rate.
C = Call option value = 2
6.94+100 = (105/e^(r/12))+2
r= 0.68%
r= 0.7% (Answer).
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