Question

In: Finance

Call options on a stock TKM are available with strike prices of $13, $15, $17.5, $18.5...

Call options on a stock TKM are available with strike prices of $13, $15, $17.5, $18.5 and $20 and expiration dates in three months. Their prices are $5.5, $4, $2, $1.5 and $0.5 respectively. Put options on the same stock are available with strike prices of $24, $23.5, $22.5, $21 and $19 and expiration dates in three months. Their prices are $5, $4, $2, $1.5 and $0.5 respectively. TKM is currently trading at $19.40 and assuming the company is in the education industry with a turnover of $120 million per annum and 80 full time employees and the company is in the market for thirty years focusing on higher learning education and adult/executive learning programs. TKM has three main offices in the U.S. and is thinking to explore international business in the future to grow its portfolio.

Solutions

Expert Solution

As per given details, TKM is in education sector with turnover of $120 per annum and good number of strengh is working in company. We assume that company has good potential of growth in next 3 month, so we can develop Long Straddle strategy to maximise profits and minimise risks:

Payoff at various price price at expiry along with graph is as follows:

Particular Value
Underlying TKM
Spot Price 19.4
ATM , CE , Buy 20
ATM, PE, Buy 19
CE Premium 0.5
PE Premium 0.5
Net debit 1
Details
Spread 1
Lower Breakeven 18
Upper Breakeven 21
Max Loss 1
Max Loss level 19
Max Profit Unlimited
Market Expiry CE_IV PP CE Payoff PE_IV PP PE_Payoff Strategy Payoff
15 0 -0.5 -0.5 4 -0.5 3.5 3
16 0 -0.5 -0.5 3 -0.5 2.5 2
17 0 -0.5 -0.5 2 -0.5 1.5 1
18 0 -0.5 -0.5 1 -0.5 0.5 0
19 0 -0.5 -0.5 0 -0.5 -0.5 -1
20 0 -0.5 -0.5 0 -0.5 -0.5 -1
21 1 -0.5 0.5 0 -0.5 -0.5 0
22 2 -0.5 1.5 0 -0.5 -0.5 1
23 3 -0.5 2.5 0 -0.5 -0.5 2
24 4 -0.5 3.5 0 -0.5 -0.5 3
25 5 -0.5 4.5 0 -0.5 -0.5 4
26 6 -0.5 5.5 0 -0.5 -0.5 5
27 7 -0.5 6.5 0 -0.5 -0.5 6
28 8 -0.5 7.5 0 -0.5 -0.5 7
29 9 -0.5 8.5 0 -0.5 -0.5 8
30 10 -0.5 9.5 0 -0.5 -0.5 9
31 11 -0.5 10.5 0 -0.5 -0.5 10
32 12 -0.5 11.5 0 -0.5 -0.5 11
33 13 -0.5 12.5 0 -0.5 -0.5 12
34 14 -0.5 13.5 0 -0.5 -0.5 13
35 15 -0.5 14.5 0 -0.5 -0.5 14
36 16 -0.5 15.5 0 -0.5 -0.5 15
37 17 -0.5 16.5 0 -0.5 -0.5 16

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