Question

In: Finance

Short a call at 115, long a put at 115, and long one share of the...

  1. Short a call at 115, long a put at 115, and long one share of the stock.

(Please include a table with at least 50 data points for the graph. Graph the value of your portfolio as a function of the relevant stock price. Graph for stock prices between 100 and 140.)

Solutions

Expert Solution

Short Call option payoff = -Max(current stock price -strike price,0)

Long put option payoff =Max(Strike price - current stock price,0)

Strike price = $115

Assume both call and put option has same price which offset each other

Value of the portfolio = payoff on call option + payoff on put option + payoff on long one share

Graph:

Share price Payoff on short call option Payoff on long put option Payoff on long one share
(assume current price $100)
Portfolio Value
100 0 15 0 15
101 0 14 1 15
102 0 13 2 15
103 0 12 3 15
104 0 11 4 15
105 0 10 5 15
106 0 9 6 15
107 0 8 7 15
108 0 7 8 15
109 0 6 9 15
110 0 5 10 15
111 0 4 11 15
112 0 3 12 15
113 0 2 13 15
114 0 1 14 15
115 0 0 15 15
116 -1 0 16 15
117 -2 0 17 15
118 -3 0 18 15
119 -4 0 19 15
120 -5 0 20 15
121 -6 0 21 15
122 -7 0 22 15
123 -8 0 23 15
124 -9 0 24 15
125 -10 0 25 15
126 -11 0 26 15
127 -12 0 27 15
128 -13 0 28 15
129 -14 0 29 15
130 -15 0 30 15
131 -16 0 31 15
132 -17 0 32 15
133 -18 0 33 15
134 -19 0 34 15
135 -20 0 35 15
136 -21 0 36 15
137 -22 0 37 15
138 -23 0 38 15
139 -24 0 39 15
140 -25 0 40 15
141 -26 0 41 15
142 -27 0 42 15
143 -28 0 43 15
144 -29 0 44 15
145 -30 0 45 15
146 -31 0 46 15
147 -32 0 47 15
148 -33 0 48 15
149 -34 0 49 15
150 -35 0 50 15

Excel formula:



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