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Assuming that you are holding the following option portfolio on Extreme Plc stocks. Option Type Position Delta of Options Gamma of Options CALL 300 0.35

  1. Assuming that you are holding the following option portfolio on Extreme Plc stocks.

Option Type

Position

Delta of Options

Gamma of Options

CALL

300

0.35

0.02

CALL

-500

0.50

0.015

PUT

-300

-0.65

0.025

PUT

-200

-0.45

0.045

  1. What is the aggregate delta of this portfolio?

  1. What is the aggregate gamma of this portfolio?

  1. Suppose you decide to both delta hedge and gamma hedge your portfolio using only the first call in the table. How many of the calls should you use and what position in the stock is now required?

  1. Why would you want to both delta hedge and gamma hedge?

  1. Assuming that you are the financial controller of Modern Jeweler Company. Your production manager has indicated today that he/she requires 5,000 grams of 22K gold; 5,000 grams of pure silver, 3,000 grams of red-copper and 3,000 grams of Platinum on 15th September 2022 to cater for a special order. At the same time your sales manager indicated that the company received an order to sell 25,000 grams of minted gold coins in an open market at the specified minted gold market price.

Your procurement manager identified the price trends of the above listed metal commodities. The trend is as follows:

Metal commodity

Spot Price /gram

Price trend by 15th September

22K Gold

RM600.00

Anticipated to increase by 20%

Pure Silver

RM4.50

Anticipated to decrease by 10%

Red-Copper

RM 0.05

Anticipated to be unchanged

Platinum

RM200.00

Anticipated to increase by 25%

Minted Gold Coin

RM350.00

Anticipated to decrease by 10%

If all the above listed metal commodities have an exact futures market contracts for October 2022, and each of the listed metal commodity has a standard contract size is 100 grams.

Indicate the positions you will take in each of the respective October futures contracts on each of the commodity listed in the above table in order to keep your cash flows stable on 15th September 2022?

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