State of Texas: “Crude oil protective puts by the State of Texas”-Describe the table of cash flows and P/L one year later when you close out this strategy.

finance Homework help due at 2:30 today (02/22/18)

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FINA4350 HW 4. Due TH, FEB 22 in class.

Study Chapter 11 in the book; All the strategies that we covered in class; chapters I, II, III, VIII and X in the OCC booklet.

Q1. The current stock price/share is St . Consider the following strategy:

Short sell the stock

1.1 Describe the table of cash flows and P/L one year later when you close out this strategy.

1.2 Graph the P/L of this strategy when it is closed out.

Numbers cannot be used in this problem.

Q2. Consider the following strategy:

A Bull Spread:

using one, K1 = 30 put p1 = 4 and one, K2 = 35 put p2 = 7.No graph.

Q3. Using the data given in the example of the State of Texas (see pages 3,4, below) use of protective puts, observe the following strategy:

Long the 62.50 Puts and Short the 65.50 Calls.

3.1 Describe the complete table of cash flows and P/L per barrel at JAN 2019 expiration.

Do not forget that the Tax Revenue appears in the table only at January 15, 2019 expiration day.

3.2 Draw the profit profile (P/L) per barrel at expiration.

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State of Texas: “Crude oil protective puts by the State of Texas”

Texas, along with other governments, is becoming a big-time player in the commodities market.

But it’s not because they’ve become bored with their own lottery operations. Quite the contrary;

their goal is not to take risks, but to reduce them. If the word hedging does not yet appear in the

codification of government accounting standards, you can be certain that it will soon.

Texas uses commodity options to protect its tax revenues from sudden drops in the price of oil.

Texas expects to generate $500 million from its oil severance tax. For every barrel of the “black

gold” produced in the state, the Treasury receives 4.6 percent of the sales price. A sharp drop in

price, such as in 1986 when it nose-dived from almost $25.82 to 11.36, can play havoc with the

state’s budget.

To lock in a set price, the state is experimenting with oil options. Here’s how they work.

The State purchases put options on crude oil. Each option permits it to sell (or “put”) a

thousand (1,000) barrels of oil at an established (exercise) price to the party that sold the option

on a specified (exercise) date. If on the exercise date the market price of crude oil is below the

established price, then the option has value: the intrinsic value – the difference between the

established exercise price and the market price. The state either exercises the option or sells it in

the open market, thus making a “profit” and covering the cost of the oil itself. The greater the

decline in market price, the greater the gain to the state from the put.. If, however, the oil

market price on the specified date is above the established exercise price, then the option has no

value and the state will allow it to expire worthless. Its loss is limited to the amount that it paid to

acquire the option (the “premium” cost).

The Texas Treasury can be viewed as the de facto owner of 4.6 percent (the severance tax rate) of all the oil produced in the state. Therefore, for each 1,000 barrels of oil that it wants to protect against a decline in revenue, it must buy puts on 46 barrels.

Suppose that on June 1, the State buys puts on 100,000 barrels of oil, thereby protecting 2,173,913 barrels (100,000 divided by 4.6 percent). Since put contracts are written in units of 1,000 barrels, the State would be required to buy 100 contracts. Assume that on the date the puts are purchased the prevailing market price is S = $21 per barrel and that this is the price that the state wants to lock in for purposes of severance tax collection three months hence. Therefore it buys puts with X = $21 as the strike price and T = October 1 as the expiration date. The cost of each contract might be approximately $1,100 including commissions—$110,000 for the 100 contracts.

If, on the expiration date, the market value of oil has fallen to ST = $18 per barrel, then the market value of each contract can be expected to approximate $3,000 [($21-$18)(1,000)] barrels]-or $300,000 for the 100 contracts. This amount will be just sufficient to offset the loss on the severance tax revenue from the $3 per barrel price drop (2,173,913 barrels times $3 per barrel times the tax rate of 4.6 percent). The state will sell the options for the $300,000 and its net loss on the entire transaction will be $110,000, the cost of the options.

If on the expiration date, the price of oil is $21 or more, then the options will have no value and the state will be out the $110,000 that it paid for them. However, the state will still reap the benefits from the increased tax revenue owing to the rise in oil prices, and this additional revenue may be sufficient to offset all or at least a part of the option cost.

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For this Real life situation. Assume: p4/4

A1 The State of Texas expects the price of Texas crude to be between $65/bbl and $68/bbl in Jan15, 2019, but wishes to hedge its severance tax revenue in case the crude’s price falls below $65. Based on production data from the last 5 years, the Texas Railroad Commission figures that by the options’ Jan15, 2019 expiration date, it needs to protect the 4.6% severance tax revenue from the sale of 152,000,000 barrels of oil that are expected to be produced and sold between today and the expiration date on Jan15, 2019.

Today, Texas crude oil is selling for St = $65.98/barrel (bbl).

Also today, calls and puts on Texas crude for Jan15, 2019 Expiration are traded for the following prices per barrel:

K calls puts

$60.00/bbl $2.60/bbl $1.18/bbl

$62.50/bbl $2.30/bbl $1.38/bbl

$63.00/bbl $2.03/bbl $1.65/bbl

$64.00/bbl $1.79/bbl $1.86/bbl

$64.50/bbl $1.58/bbl $2.13/bbl

$65.50/bbl $1.38/bbl $2.43/bbl

$67.00/bbl $0.46/bbl $2.99/bbl

A2. All the 152,000,000 barrels are sold on the Jan15, 2019 options’ expiration day.

Analysis: The State of Texas receives 4.6% Tax Revenue from the barrels produced and sold. We can view this situation equivalent to receiving 100% revenue from the sale of only 4.6% barrels out of the 152,000,000 barrels produced and sold.

To see this, observe that the tax revenue of the State on JAN 15, 2019 is:

(.046)[152,000,000SJAN15,2019] = (6,992,000)SJAN15,2019

In words: The Revenue of 4.6% from the sale of 152,000,000 barrels is exactly equal to a revenue of 100% feom the sale of 6,992,000 barrels.

Thus, it follows that we can analyze the State action in protecting it’d Tax Revenue, as if the State buys protective puts on the full (100%) revenue from these 6,992,000 barrels.

A3. The State wishes to protect it’s Tax Revenue from going under $60/barrel.

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