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Showing posts with label Financial Derivatives. Show all posts
Showing posts with label Financial Derivatives. Show all posts

Sunday, November 16, 2008

Hedging with Options

Scenario:


Let’s say a fund manager achieved returns of 15% on his portfolio over the last 10 months compared to a market return of 10%. The portfolio is a close approximation of the KLSE Composite Index. The fund manager is concerned that there is a strong chance of the market moving down over the next two months. He seeks to preserve the majority of the returns.


Solution:


One possible solution is to use a put option on the KLCI. Assume the following data as at 30 April:


Fund size:

RM 10 million

Portfolio beta:

1.0

Current Composite Index:

1130

Current June KLCI Futures:

1140


KLCI Options Premium
1075 put 20.00
1100 put 28.00
1125 put 38.00

Number of contracts to be purchased=
=
=

87 contracts


The fund manager decides to use at-the-money puts for downward protection. He subsequently purchases 87 June 1125 puts at 38 points, an outlay of RM 330,600 (87 × 38 × 100).


Profit Pay-off Diagram



As can be seen, the hedged position has removed the risk of loss from a fall in the market. The trade-off for this reduced risk is the outlay of RM 330,600 (3.3% of the portfolio). Since the fund has a 5% buffer between the portfolio performance and the benchmark index, the fund remains ahead of the measure. The fund also has the prospect of significant outperformance if the fund manager’s view of the market proves to be correct.

Saturday, October 11, 2008

Billionaire Carl Icahn Leverages Yahoo Options

Carl Icahn has been establishing a big stock position in Yahoo shares using options. Icahn's position of 59 million shares of Yahoo stock was created by using only 9.9 million actual shares. The question now is how can Mr. Icahn hold the rest without actually owning them?


The answer comes from a strategy that might be new to most people, but to options traders it's old hat. Icahn simply created 49 million shares of synthetic stock by buying 490,000 million call options on Yahoo stock and selling 490,000 million put options.


Synthetic positions are how investors and traders can replicate the performance and returns of stock without owning any actual stock. Buying a call and selling a put, usually of the same exercise price and expiration, is equivalent to being long the underlying stock. In other words, since he sold the right for someone else to be short the stock, if the long put holder decides to exercise their right, he will have to buy the stock at the strike price.


Another interesting thing about this trade is that Icahn bought American-style call options, which can be exercised anytime before expiration, and he sold European-style put options, which can only be exercised, and force him to buy the stock, at expiration. Icahn reportedly sold puts with a strike price of $19.50 and an expiration date of November 5th, 2010. Last year, Icahn used billions of dollars worth of options on Motorola stock to gain a significant position and win board seats in the tech company.

Thursday, October 9, 2008

Index Options

Stock index options are based on a stock index rather than on specific stocks. The value of index calls increase as the index increases, and the value of index puts increases as the underlying index decreases. These options are similar to stock options, but with some important differences.


Because these options are based on indexes, there is greater diversification, and usually less volatility than with specific stocks. An index is never going to drop to zero, and it will never increase as dramatically as some specific stocks can, especially within a short period of time. Therefore, the risk is more limited, but so is the profit potential. Also, contract adjustments are rarely needed for a stock index. For instance, stock splits of stocks within the index do not affect the index, and thus, no adjustments on the contracts are needed.


The strike price is based on an index value multiplied by the multiplier of the contract, which is usually $100 (USD). These options are settled by the exchange of cash, not securities, which, for obvious reasons, is called a cash settlement. The option writer who is assigned an exercise pays cash to the holder who exercised the option.


Many index options are American-style options that can be exercised for a short time right before expiration. However, this makes little difference for options that are settled in cash, because the option holder can always sell the option on the exchanges for cash at any time before expiration. In fact, Kuala Lumpur Composite Index (KLCI) options are European-style options. They can only be exercised on the last day of trading.


The cash that is paid upon exercise depends on the index, which depends on the component prices of the index. Some contracts have AM settlement and some have PM settlement. In AM settlement, the cash settlement value is calculated using the opening component prices on the day of expiration. In PM settlement, closing prices on the day of expiration are used to determine the cash settlement value of the contract.


The cash settlement amount is determined by multiplying the absolute difference between the index and the strike price of the option times $100. For instance, SXY KO-E (2006 Nov 1375.00 Call) is based on the S&P 500 index. If the index should close at 1400 on expiration day, then a call holder would receive (1400 - 1375) x 100 = $2,500, and the assigned call writer would have to pay that much.

Thursday, September 4, 2008

Outright Speculation

Amount of fund available =

RM 1,000,000.00

Number of contracts purchasable = contract 1
= 18.35 (round down to 18)
Fund balance = RM 1,000,000.00 – (RM 50 x 1090.0 x 18)
= RM 19,000.00

Thus 18 contracts will be traded. The fund balance will be used to pay off the margin required to trade in the futures market. The exact mechanism of trading is calculated as follow:


Date

Action

Result

Gain/Loss (RM)

8 Jul

Tue

Buy 18 July KLSE CI futures contracts at 1090.0. Pay initial outright margin of RM 4,000*. Futures contract closed at 1090.0.

Initial margin:

Gain/Loss:

-4,000.00

0.00

9 Jul

Wed

July futures price rises to 1116.0. Hold the position.

Value increase = 26 points × RM 50 × 18

Variation gain:

23,400.00

10 Jul

Thu

July futures price rises to 1125.0.Hold the position.

Value increase = 9 points × RM 50 × 18

Variation gain:

8,100.00

11 Jul

Fri

July futures price rises to 1142.0.Hold the position.

Value increase = 17 points × RM 50 × 18

Variation gain:

15,300.00

14 Jul

Mon

July futures price decreases to 1131.0. Sell the contracts.

Value decline = 11 points × RM 50 × 18

Redeem initial outright margin of RM 4,000

Variation loss:

Initial margin:

-9,900.00

4,000.00

   

Net gain:

36,900.00


*Note the latest initial outright margin announced by Bursa Malaysia Derivatives Clearing Berhad is RM 4,000.00.


After embark upon this business dealing, the following cash position is applicable:


Item

Calculation

RM

Contract cost when purchasing:

Initial margin:

18 x RM 50 x 1090.0

981,000.00

4,000.00

Initial cost:   985,000.00

Contract value when selling:

Redeemed margin:

18 x RM 50 x 1131.0

1,017,900.00

4,000.00

Final contracts value:

Fund balance:

 

1,021,900.00

15,000.00

Total fund available:   1,036,900.00

After the first trading, we decided to watch the market in order to spot for another great purchasing price. The following table shows the futures prices a few days after the first trading was made:


FKLI Prices for Spot Month Contract 2008

Date Open Int. Open High Low Closed

08-Jul

09-Jul

10-Jul

11-Jul

14-Jul

15-Jul

16-Jul

17-Jul

37,053

36,606

36,477

34,840

33,841

34,615

34,133

34,261

1,117.0

1,106.0

1,103.0

1,127.0

1,140.5

1,120.5

1,107.0

1,108.5

1,118.5

1,119.0

1,125.0

1,146.0

1,142.5

1,125.0

1,117.0

1,114.0

1,083.0

1,099.0

1,102.5

1,122.5

1,124.5

1,103.5

1,096.0

1,098.5

1,090.0

1,116.0

1,125.0

1,142.0

1,131.0

1,105.5

1,098.5

1,113.0


The table shows that the price drops to 1105.5 and then 1098.5 on 15 and 16 July 2008 respectively. We estimated that the price will drop even further. However, the market rebounded on 17 July 2008 to 1113.0. Thus we knew we had to react fast enough before we lost our trading opportunity. So, we decided to invest the fund we gained in first trading to the second dealing on 18 July 2008.


Amount of fund available =

RM 1,036,900.00

Number of contracts purchasable = contract 2
  = 18.93 (round down to 18)
Fund balance = RM 1,036,900.00 – (RM 50 x 1095.0 x 18)
  =

RM 51,400.00


Again, the fund balance above will be used to pay off the initial outright margin. The mechanism for the second trading is shown below:


Date

Action

Result

Gain/Loss (RM)

18 Jul

Fri

Buy 18 July KLSE CI futures contracts at 1095.0. Pay initial outright margin of RM4,000.Futures contract closed at 1095.0.

Initial margin:

Gain/Loss:

-4,000.00

0.00

21 Jul

Mon

July futures price rises to 1105.0. Hold the position.

Value increase = 10 points × RM50 ×18

Variation gain:

9,000.00

22 Jul

Tue

July futures price dips to 1102.5. Hold the position.

Value decline = 2.5 points × RM50 × 18

Variation gain:

-2,250.00

23 Jul

Wed

July futures price rises to 1142.0. Hold the position.

Value increase = 39.5 points × RM50 × 18

Variation gain:

35,550.00

24 Jul

Thu

July futures price decreases to 1134.0. Hold the position.

Value decline = 8 points × RM50 × 18

Variation loss:

-7,200.00

25 Jul

Fri

July futures price remains at 1134.0. Hold the position.

Value change = 0 points × RM50 × 18

Variation gain: 0.00

28 Jul

Mon

July futures price rises to 1150.5. Hold the position.

Value increase = 16.5 points × RM50 × 18

Variation gain: 14,850.00

29 Jul

Tue

July futures price decreases to 1145.5. Hold the position.

Value decline = 5 points × RM50 × 18

Variation loss: -4,500.00

30 Jul

Wed

July futures prices increases to 1160.5. Sell the contracts.

Value increase = 15 points × RM50 × 18

Redeem initial outright margin of RM 4,000.00.

Variation gain:

Initial margin:

13,500.00

4,000.00

   

Net gain:

58,950.00


After the second trading as shown, the latest cash position is as follow:


Item

Calculation

RM

Contract cost when purchasing:

Initial margin:

18 x RM 50 x 1095.0

985,500.00

4,000.00

Initial cost:   989,500.00

Contract value when selling:

Redeemed margin:

18 x RM 50 x 1160.5

1,044,450.00

4,000.00

Final contracts value:

Fund balance:

 

1,048,450.00

47,400.00

Total fund available:   1,095,850.00

Conclusion


After the speculation, we have successfully turned RM 1,000,000.00 to RM 1,095,850.00. It was a net gain of RM 95,850.00. We have produced 9.59% return for our speculation within two weeks. This is rather an astounding achievement for short-term speculation.


However, we also encountered various risks in this trading. Even though we were able to purchase at market bottom, we could not close out our position at the highest price possible. For example, we should sell at 1142.0 but only managed to do so at 1131.0. But this is something very difficult to practice in the real market because the trend of the market is unlikely to appear exactly as predicted.


Moreover, it is sometimes hard whether to remain patience or to act quickly in the market. This is due to patience may sometimes result in observing a market decline. On the other hand if we acted too fast, the real advance in the market may not fully materialize yet. Thus, this can be said as a matter of market timing and correct judgment. Besides, it is important for us to be confident with our analysis and stick with one principle rather than hopping to other so-called techniques if the market moves against us.


Finally, a good speculator will not follow the crowd blindly. We need to focus on our reasoning and make decisions base on appropriate analysis rather than following broker’s tips, friend’s recommendation or insider’s information.


Recommendations


Besides speculation, other methods such as hedging and arbitraging may also be very profitable if they are practiced with fine scrutiny. In fact, arbitraging is the riskless way to make profit in the futures market as arbitrageurs are taking advantage of the anomalies or mispricing of the futures prices in relation to the fair values of the instruments.


Moreover, other analysis style such as fundamental analysis should not be ignored because this type of analysis may be more accurate and reasonable. Key factors like industrial life cycle, business cycle and the interest rate should be taken into account when analyzing the performance of the market. In the sense of short-term speculation, the stance of monetary policy and the supply of money in the market should also be aware of in order to thoroughly examine the outlook of the market.

Saturday, August 30, 2008

Speculation Opportunity

fkli 2 jun 7 jul


Let’s look at the FKLI futures prices recently. 2 June 2008 closed at 1267.0 and the overall prices of the futures are declining over the month. At the end of the month, the price has dropped to 1186.5. This may be the lower point of the month and it should be taken advantage of.


To ascertain the downward movement of the market, we decided to wait for a few days in order to buy in at the lowest price possible. The following shows the market prices a few days before the real purchase is made:


Date Open Int. Open High Low Closed

01-Jul

02-Jul

03-Jul

04-Jul

07-Jul

33,945

35,738

36,978

36,539

36,438

1,172.0

1,152.0

1,126.5

1,119.5

1,113.0

1,175.5

1,159.0

1,132.0

1,121.0

1,121.5

1,152.0

1,137.5

1,110.0

1,104.5

1,106.5

1,152.0

1,144.0

1,117.0

1,110.0

1,119.0


By referring to the table, the prices dropped from 1152.0 on 1 July 2008 to 1110.0 on 4 July 2008. This has proved that our prediction about the market is correct. However, the futures prices closed 9 point higher from 1110.0 on 7 July 2008. Thus we decided to take the opportunity by purchasing the July futures contracts on 8 July 2008 in order to avoid further advances of the price in the market.

FKLI Futures Prices (2 Jan 2008- 30 June 2008)

*Note: Click on the picture above to view full size image.

By referring to the graph, it can be seen that a peak (head) was formed during 9 January 2008 to 16 January 2008. After the “head”, a sharp dip occurred in 22 January 2008. The market rebounded in the subsequent weeks and formed the shoulder to the head (peak) stated earlier.

Sharp downturn can be observed from the graph after the position of the “shoulder” and the downturn started from 27 February 2008 until the graph forms a trough on 17 March 2008. That was a very good opportunity to short the FKLI and then close out the position by taking the long position at the bottom of the market. However, the opportunity has been missed. Whatever it is, the same market pattern may repeat again later in the market.

FKLI futures recovered from the bottom of the market and fluctuated from 19 March 2008 through 16 April 2008. It formed “Double Top” and tended to go side line during the same period. On 21 May 2008, another downturn started to crystallize and it seemed like it would reach another market bottom soon. This is the opportunity that should not be missed by any skillful speculator.

Friday, August 29, 2008

Market Analysis

- No comments

Below are the historical prices of FKLI Contract from 2 January 2008 to 30 June 2008:


Historical Price for FKLI Contract 2008

Date

Open Int.

Open

High

Low

Closed

02-Jan

03-Jan

04-Jan

07-Jan

08-Jan

09-Jan

11-Jan

14-Jan

15-Jan

16-Jan

17-Jan

18-Jan

21-Jan

22-Jan

24-Jan

25-Jan

28-Jan

29-Jan

30-Jan

31-Jan

27,907

28,178

29,202

29,663

29,966

28,843

31,900

32,047

32,183

34,730

35,675

37,257

35,030

31,583

32,500

31,926

27,844

26,810

10,857

0

1,435.5

1,427.0

1,431.0

1,460.0

1,466.5

1,490.0

1,512.0

1,521.5

1,530.0

1,488.0

1,457.0

1,431.0

1,431.0

1,345.0

1,392.0

1,390.0

1,398.5

1,405.0

1,387.5

1,373.0

1,450.0

1,436.5

1,470.0

1,470.5

1,499.5

1,509.0

1,531.0

1,535.0

1,536.0

1,490.0

1,472.0

1,463.0

1,439.0

1,352.0

1,397.0

1,421.0

1,398.5

1,409.0

1,402.0

1,395.0

1,432.5

1,426.5

1,431.0

1,455.0

1,466.0

1,482.5

1,510.5

1,510.5

1,502.5

1,436.0

1,429.0

1,425.0

1,479.0

1,296.0

1,360.0

1,389.5

1,358.0

1,378.5

1,372.0

1,373.0

1,440.0

1,433.5

1,469.0

1,466.0

1,490.5

1,503.0

1,524.0

1,522.0

1,504.0

1,443.5

1,472.0

1,444.0

1,387.5

1,335.0

1,360.0

1,413.0

1,383.5

1,385.0

1,377.0

1,387.5

04-Feb

05-Feb

06-Feb

11-Feb

12-Feb

13-Feb

14-Feb

15-Feb

18-Feb

19-Feb

20-Feb

21-Feb

22-Feb

25-Feb

26-Feb

27-Feb

28-Feb

29-Feb

30,267

29,110

29,505

28,965

29,548

31,908

31,945

31,616

31,453

31,271

30,640

31,114

32,262

30,585

34,541

21,263

18,717

0

1,419.0

1,426.0

1,407.0

1,396.0

1,408.0

1,432.0

1,436.0

1,429.0

1,433.0

1,422.0

1,410.5

1,417.0

1,373.0

1,371.0

1,374.5

1,382.0

1,366.0

1,355.0

1,434.5

1,440.5

1,411.0

1,413.0

1,423.0

1,446.5

1,445.0

1,434.0

1,434.0

1,426.5

1,415.5

1,417.5

1,374.5

1,374.0

1,377.5

1,384.0

1,372.0

1,363.0

1,416.0

1,422.0

1,396.0

1,391.5

1,407.5

1,411.0

1,423.0

1,422.5

1,408.5

1,410.0

1,397.0

1,381.5

1,344.5

1,353.5

1,362.0

1,373.0

1,362.0

1,348.0

1,430.0

1,435.0

1,404.0

1,402.0

1,417.5

1,416.0

1,441.0

1,425.0

1,412.0

1,412.0

1,400.0

1,385.0

1,361.0

1,367.0

1,375.0

1,373.0

1,365.0

1,360.0

03-Mar

04-Mar

05-Mar

06-Mar

07-Mar

10-Mar

11-Mar

12-Mar

13-Mar

14-Mar

17-Mar

18-Mar

19-Mar

21-Mar

24-Mar

25-Mar

26-Mar

27-Mar

28-Mar

31-Mar

37,261

38,146

38,114

37,775

37,002

38,996

40,735

41,833

40,545

41,134

40,900

38,435

38,895

37,142

36,628

37,541

39,933

19,993

13,834

0

1,298.0

1,304.0

1,293.0

1,279.0

1,278.5

1,163.0

1,165.5

1,220.0

1,213.5

1,192.0

1,158.5

1,159.5

1,210.0

1,181.0

1,172.5

1,205.0

1,230.0

1,222.0

1,246.0

1,252.0

1,314.0

1,314.5

1,294.0

1,305.0

1,291.0

1,209.5

1,198.0

1,231.5

1,219.0

1,193.0

1,160.0

1,183.0

1,225.0

1,181.0

1,193.0

1,231.0

1,243.5

1,255.0

1,266.0

1,258.0

1,290.0

1,281.5

1,266.5

1,277.0

1,269.5

1,152.0

1,159.0

1,214.0

1,165.0

1,161.0

1,142.0

1,147.0

1,153.0

1,158.0

1,172.5

1,201.5

1,216.5

1,218.0

1,243.5

1,247.0

1,294.5

1,287.0

1,275.0

1,299.0

1,269.5

1,177.0

1,192.5

1,227.0

1,168.0

1,184.0

1,147.5

1,183.0

1,163.0

1,168.0

1,190.5

1,223.0

1,230.0

1,255.0

1,260.0

1,249.5

01-Apr

02-Apr

03-Apr

04-Apr

07-Apr

08-Apr

09-Apr

10-Apr

11-Apr

14-Apr

15-Apr

16-Apr

17-Apr

18-Apr

21-Apr

22-Apr

23-Apr

24-Apr

25-Apr

28-Apr

29-Apr

30-Apr

35,878

37,272

37,675

37,878

38,460

37,887

38,123

36,834

36,719

36,584

36,086

36,232

35,728

36,287

36,456

35,377

35,357

36,957

38,130

34,015

15,559

0

1,237.0

1,270.0

1,224.0

1,220.0

1,218.0

1,207.0

1,213.0

1,218.0

1,258.0

1,230.0

1,230.0

1,257.0

1,270.5

1,253.0

1,280.0

1,280.0

1,284.5

1,295.0

1,302.0

1,301.0

1,296.0

1,280.5

1,250.0

1,273.0

1,234.0

1,226.5

1,219.5

1,214.0

1,228.0

1,251.5

1,260.0

1,237.5

1,250.0

1,263.5

1,272.5

1,270.0

1,287.0

1,290.0

1,302.0

1,309.5

1,306.0

1,303.0

1,303.5

1,285.0

1,218.5

1,222.0

1,208.0

1,212.5

1,206.5

1,201.0

1,213.0

1,218.0

1,243.5

1,225.0

1,230.0

1,250.0

1,251.0

1,251.0

1,275.5

1,276.5

1,282.5

1,286.0

1,289.0

1,295.5

1,283.0

1,276.0

1,241.0

1,222.0

1,215.0

1,220.0

1,219.0

1,208.0

1,223.5

1,243.5

1,255.0

1,234.0

1,246.0

1,260.5

1,251.0

1,269.0

1,282.5

1,284.5

1,299.5

1,289.5

1,303.0

1,301.0

1,283.0

1,283.5

02-May

05-May

06-May

07-May

08-May

09-May

12-May

13-May

14-May

15-May

16-May

20-May

21-May

22-May

23-May

26-May

27-May

28-May

29-May

30-May

31,028

31,003

31,255

31,031

32,552

30,184

30,384

30,719

30,840

31,278

31,873

32,622

30,254

29,099

29,683

31,679

30,661

25,667

16,089

0

1,295.0

1,277.0

1,271.0

1,288.0

1,273.0

1,272.0

1,283.0

1,300.0

1,289.0

1,293.0

1,301.5

1,293.5

1,286.0

1,276.0

1,275.0

1,264.0

1,264.5

1,270.5

1,265.5

1,267.0

1,295.0

1,280.0

1,285.0

1,288.5

1,279.0

1,286.5

1,297.5

1,301.5

1,298.5

1,300.5

1,306.5

1,297.5

1,290.5

1,279.5

1,292.0

1,267.0

1,271.0

1,271.0

1,269.0

1,274.0

1,278.0

1,270.0

1,270.0

1,275.0

1,263.0

1,272.0

1,282.0

1,284.5

1,286.5

1,292.5

1,294.0

1,284.0

1,282.5

1,271.5

1,270.0

1,256.0

1,263.0

1,257.0

1,263.0

1,265.5

1,280.5

1,274.0

1,283.0

1,278.0

1,275.0

1,284.0

1,296.5

1,286.5

1,295.0

1,298.0

1,297.5

1,293.5

1,287.0

1,277.0

1,270.0

1,261.0

1,267.0

1,259.0

1,265.5

1,269.5

02-Jun

03-Jun

04-Jun

05-Jun

06-Jun

09-Jun

10-Jun

11-Jun

12-Jun

13-Jun

16-Jun

17-Jun

18-Jun

19-Jun

20-Jun

23-Jun

24-Jun

25-Jun

26-Jun

27-Jun

30-Jun

32,438

33,862

36,039

39,366

38,706

37,866

37,668

36,868

37,067

36,222

37,154

36,491

36,694

35,121

36,485

37,340

36,765

33,398

23,118

15,022

0

1,266.0

1,261.0

1,249.0

1,218.0

1,223.0

1,204.0

1,219.5

1,213.0

1,209.0

1,219.0

1,223.0

1,237.5

1,218.5

1,182.0

1,184.5

1,176.0

1,186.5

1,194.0

1,201.0

1,182.0

1,183.0

1,276.0

1,262.5

1,249.5

1,221.0

1,237.0

1,218.5

1,219.5

1,223.0

1,223.0

1,219.5

1,237.5

1,237.5

1,219.0

1,186.0

1,199.0

1,190.0

1,196.0

1,202.0

1,205.5

1,188.5

1,187.0

1,266.0

1,245.0

1,226.0

1,204.0

1,222.0

1,203.0

1,201.0

1,208.5

1,201.5

1,211.0

1,220.0

1,221.0

1,189.0

1,169.0

1,174.0

1,172.0

1,186.5

1,189.0

1,195.0

1,180.0

1,182.5

1,267.0

1,253.0

1,232.5

1,217.0

1,230.0

1,214.5

1,204.0

1,221.5

1,217.0

1,214.5

1,237.0

1,222.0

1,199.0

1,181.0

1,192.5

1,186.5

1,191.0

1,202.0

1,198.0

1,187.0

1,186.5