Assume today is Sept 1, 2021. Company IMineGold is a gold mining company producing gold with plans to increase its size and valuation over the next few years. The company has invested in developing goldfields and commenced extracting gold and gold production from its underground mines. The company is confident that it will have an output of 100,000 ounces of gold on 1 March 2022 and is willing to sell this output amount on that day. The companys revenue is subject to changes of the gold price. As the market price of gold is quite volatile, the company is considering using some strategies to manage its risk exposure. Following further information is available:

Profit margin is defined as (Revenue Cost of Goods Sold) / Revenue.

The cost of mining one ounce of gold is $1,420.

The company has a target profit margin of 18%.

The minimum acceptable profit margin below which the company will have difficulties servicing its debt is 14%. The spot price of gold on 1 Sept 2021 is $1,800.

The interest rate curve is flat and the risk-free interest rate for all maturities is 2% (cont. comp.).

The annual gold price volatility is estimated to be 15%.

The company regularly transacts with the ABC Bank which is available as a counterparty of forward and option contracts with gold as an underlying asset. Based on this information and the knowledge you have accumulated while taking this Derivatives course, respond to the questions below.

Gold considers the following five hedging strategies for managing commodity price risk:

Strategy I: No hedge at all. Strategy

II: Hedging 100% of the mining output with a forward contract. Strategy

III: Hedging 50% of the mining output with a forward contract and leaving the remaining 50% unhedged. Strategy

IV: A strategy using one of the options from sub-question E. to meet the target rate and benefit from favourable movements in the gold price. Strategy

V: A strategy using one of the options from sub-question E. for worst-case protection only (meet critical rate).

For each of these strategies:

Calculate the profit margin for the following two scenarios:

a) The gold spot price on 1 March 2022 is $1,990 per ounce.

b) The gold spot price on 1 March 2022 is $1,610 per ounce.

Explain the advantages and disadvantages of each hedging strategy.

If a strategy includes options, state clearly which option contract should be used, whether as a long or short position, and why

Sub Question E

. Use the Black-Scholes model to price following options on gold: (5 marks)

Option 1: A call option with strike price 1680 expiring on 1 March 2022.

Option 2: A put option with strike price 1680 expiring on 1 March 2022.

Option 3: A call option with strike price 1850 expiring on 1 March 2022.

Option 4: A put option with strike price 1850 exp