Question

In: Finance

Graph the value of your portfolio as a function of the relevant stock price. Graph for...

Graph the value of your portfolio as a function of the relevant stock price. Graph for stock prices between 50 and 100.

You own (are long) a call with an exercise price of 70 and a put at 64.

You are short a call at 90, and long a put at 75.

Short a call at 85, long a put at 89, and long one share of the stock.

Long a call at 75, short a put at 75, short a share of stock.

Solutions

Expert Solution

1 Long a call with an exercise price of 70 and a put at 64.
A B C=A+B
Price at expiration Gain/(Loss) on Long Call at 70 Gain/(Loss) on Long Put at 64 Value of portfolio
$50 $0 $14 $14
$51 $0 $13 $13
$52 $0 $12 $12
$53 $0 $11 $11
$54 $0 $10 $10
$55 $0 $9 $9
$56 $0 $8 $8
$57 $0 $7 $7
$58 $0 $6 $6
$59 $0 $5 $5
$60 $0 $4 $4
$61 $0 $3 $3
$62 $0 $2 $2
$63 $0 $1 $1
$64 $0 $0 $0
$65 $0 $0 $0
$66 $0 $0 $0
$67 $0 $0 $0
$68 $0 $0 $0
$69 $0 $0 $0
$70 $0 $0 $0
$71 $1 $0 $1
$72 $2 $0 $2
$73 $3 $0 $3
$74 $4 $0 $4
$75 $5 $0 $5
$76 $6 $0 $6
$77 $7 $0 $7
$78 $8 $0 $8
$79 $9 $0 $9
$80 $10 $0 $10
$81 $11 $0 $11
$82 $12 $0 $12
$83 $13 $0 $13
$84 $14 $0 $14
$85 $15 $0 $15
$86 $16 $0 $16
$87 $17 $0 $17
$88 $18 $0 $18
$89 $19 $0 $19
$90 $20 $0 $20
$91 $21 $0 $21
$92 $22 $0 $22
$93 $23 $0 $23
$94 $24 $0 $24
$95 $25 $0 $25
$96 $26 $0 $26
$97 $27 $0 $27
$98 $28 $0 $28
$99 $29 $0 $29
$100 $30 $0 $30
2 Short a call at 90, and long a put at 75.
A B C=A+B
Price at expiration Gain/(Loss) on ShortCall at 90 Gain/(Loss) on Long Put at 75 Value of portfolio
$50 $0 $25 $25
$51 $0 $24 $24
$52 $0 $23 $23
$53 $0 $22 $22
$54 $0 $21 $21
$55 $0 $20 $20
$56 $0 $19 $19
$57 $0 $18 $18
$58 $0 $17 $17
$59 $0 $16 $16
$60 $0 $15 $15
$61 $0 $14 $14
$62 $0 $13 $13
$63 $0 $12 $12
$64 $0 $11 $11
$65 $0 $10 $10
$66 $0 $9 $9
$67 $0 $8 $8
$68 $0 $7 $7
$69 $0 $6 $6
$70 $0 $5 $5
$71 $0 $4 $4
$72 $0 $3 $3
$73 $0 $2 $2
$74 $0 $1 $1
$75 $0 $0 $0
$76 $0 $0 $0
$77 $0 $0 $0
$78 $0 $0 $0
$79 $0 $0 $0
$80 $0 $0 $0
$81 $0 $0 $0
$82 $0 $0 $0
$83 $0 $0 $0
$84 $0 $0 $0
$85 $0 $0 $0
$86 $0 $0 $0
$87 $0 $0 $0
$88 $0 $0 $0
$89 $0 $0 $0
$90 $0 $0 $0
$91 ($1) $0 ($1)
$92 ($2) $0 ($2)
$93 ($3) $0 ($3)
$94 ($4) $0 ($4)
$95 ($5) $0 ($5)
$96 ($6) $0 ($6)
$97 ($7) $0 ($7)
$98 ($8) $0 ($8)
$99 ($9) $0 ($9)
$100 ($10) $0 ($10)
3 Short a call at 85, long a put at 89, and long one share of the stock.
Share Price is not mentioned. Assume that purchase price of share=75
A B C D=A+B+C
Price at expiration Gain/(Loss) on ShortCall at 85 Gain/(Loss) on Long Put at 89 Gain/(Loss) on Long one share at 75 Value of portfolio
$50 $0 $39 ($25) $14
$51 $0 $38 ($24) $14
$52 $0 $37 ($23) $14
$53 $0 $36 ($22) $14
$54 $0 $35 ($21) $14
$55 $0 $34 ($20) $14
$56 $0 $33 ($19) $14
$57 $0 $32 ($18) $14
$58 $0 $31 ($17) $14
$59 $0 $30 ($16) $14
$60 $0 $29 ($15) $14
$61 $0 $28 ($14) $14
$62 $0 $27 ($13) $14
$63 $0 $26 ($12) $14
$64 $0 $25 ($11) $14
$65 $0 $24 ($10) $14
$66 $0 $23 ($9) $14
$67 $0 $22 ($8) $14
$68 $0 $21 ($7) $14
$69 $0 $20 ($6) $14
$70 $0 $19 ($5) $14
$71 $0 $18 ($4) $14
$72 $0 $17 ($3) $14
$73 $0 $16 ($2) $14
$74 $0 $15 ($1) $14
$75 $0 $14 $0 $14
$76 $0 $13 $1 $14
$77 $0 $12 $2 $14
$78 $0 $11 $3 $14
$79 $0 $10 $4 $14
$80 $0 $9 $5 $14
$81 $0 $8 $6 $14
$82 $0 $7 $7 $14
$83 $0 $6 $8 $14
$84 $0 $5 $9 $14
$85 $0 $4 $10 $14
$86 ($1) $3 $11 $13
$87 ($2) $2 $12 $12
$88 ($3) $1 $13 $11
$89 ($4) $0 $14 $10
$90 ($5) $0 $15 $10
$91 ($6) $0 $16 $10
$92 ($7) $0 $17 $10
$93 ($8) $0 $18 $10
$94 ($9) $0 $19 $10
$95 ($10) $0 $20 $10
$96 ($11) $0 $21 $10
$97 ($12) $0 $22 $10
$98 ($13) $0 $23 $10
$99 ($14) $0 $24 $10
$100 ($15) $0 $25 $10
4 Long a call at 75, short a put at 75, short a share of stock.
Share Price is not mentioned. Assume that Selling price of share=75
A B C D=A+B+C
Price at expiration Gain/(Loss) on LongCall at 75 Gain/(Loss) on ShortPut at 75 Gain/(Loss) on Shortone share at 75 Value of portfolio
$50 $0 ($25) $25 $0
$51 $0 ($24) $24 $0
$52 $0 ($23) $23 $0
$53 $0 ($22) $22 $0
$54 $0 ($21) $21 $0
$55 $0 ($20) $20 $0
$56 $0 ($19) $19 $0
$57 $0 ($18) $18 $0
$58 $0 ($17) $17 $0
$59 $0 ($16) $16 $0
$60 $0 ($15) $15 $0
$61 $0 ($14) $14 $0
$62 $0 ($13) $13 $0
$63 $0 ($12) $12 $0
$64 $0 ($11) $11 $0
$65 $0 ($10) $10 $0
$66 $0 ($9) $9 $0
$67 $0 ($8) $8 $0
$68 $0 ($7) $7 $0
$69 $0 ($6) $6 $0
$70 $0 ($5) $5 $0
$71 $0 ($4) $4 $0
$72 $0 ($3) $3 $0
$73 $0 ($2) $2 $0
$74 $0 ($1) $1 $0
$75 $0 $0 $0 $0
$76 $1 $0 ($1) $0
$77 $2 $0 ($2) $0
$78 $3 $0 ($3) $0
$79 $4 $0 ($4) $0
$80 $5 $0 ($5) $0
$81 $6 $0 ($6) $0
$82 $7 $0 ($7) $0
$83 $8 $0 ($8) $0
$84 $9 $0 ($9) $0
$85 $10 $0 ($10) $0
$86 $11 $0 ($11) $0
$87 $12 $0 ($12) $0
$88 $13 $0 ($13) $0
$89 $14 $0 ($14) $0
$90 $15 $0 ($15) $0
$91 $16 $0 ($16) $0
$92 $17 $0 ($17) $0
$93 $18 $0 ($18) $0
$94 $19 $0 ($19) $0
$95 $20 $0 ($20) $0
$96 $21 $0 ($21) $0
$97 $22 $0 ($22) $0
$98 $23 $0 ($23) $0
$99 $24 $0 ($24) $0
$100 $25 $0 ($25) $0


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