Average Spot Options

Average spot options are options with exactly one underlying. Their value is not calculated on the basis of the current underlying spot, but using the average value. The average value is based on a time series with specific dates/times on which the spot of the underlying is fixed.

Integration

The following restrictions presently apply to the valuation of average spot options:

The system can currently only valuate average spot options with a European exercise type (European options).

The averages are only gathered at specific, predefined times that are equally distanced.

The system uses the arithmetic average with identical weightings to calculate the averages.

For more information on valuating the average spot options, see the Basket Options and Average Spot Options document in the Price Calculator documentation.

Procedure

Create the following hierarchy to display an average spot option as a generic transaction:

Create the hierarchy as follows:

Create a new generic transaction. See Edit Generic Transaction for the procedure.

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In the dialog structure, select the first elementary transaction and assign to it transaction form 061 (OTC option).

The system displays three tab pages.

Enter the following information on the Header Information tab page:

Start of term field.

Enter the start date for the term of the option.

End of term field.

Enter the end date for the term of the option.

Purchase/Sale field

Enter whether the OTC option is a purchase or a sale.

The system interprets the OTC option as a purchase or a sale depending on the entries you make for the elementary transaction on the highest level of the hierarchy.

Enter the following information on the Cash Flow tab page:

Cash Flow Type field

Specify the type of the cash flow (for example, sale or purchase cash flow).

Due Date field

Specify when the premium of the option is due.

CF Amount field

Currency field

Currency of the individual cash flows

Plus/Minus Sign field

Specify if the cash flow represents an in- or an outflow.

Enter the following information on the Option Information tab page:

Exercise Type field

Specify whether American-style or European-style exercise applies to the OTC option.

The price calculator is only able to valuate European-style exercise types.

Put/Call Indicator

Flag the OTC option as a put option or a call option.

Strike Amount and Strike Currency fields

Clean strike amount of option (price of underlying without accrued interest).

Number of Averaging Time Points field

Specify the number of planned fixing dates.

Number of Fixed Points field

Specify how many spots have already been fixed.

Next Averaging Date field

Specify when the next spot is to be fixed.

Mean Value of Exercise Price field

Specify the mean value of the spots that have already been fixed.

You must manually update the Number of Fixed Points, Next Averaging Date and Mean Value of Exercise Price fields. The system is unable to automatically correct or update the data.

You must enter a term start date for the option, although it is not used by the price calculator for evaluation purposes.

Create a transaction with the transaction form 41 (foreign exchange) under the OTC option elementary transaction for the first elementary transaction on the second level of the hierarchy. To do this, select the OTC Option elementary transaction in the dialog structure and choose Create Elementary Trans.: Next Level . Select the new elementary transaction and assign to it transaction form 41.

The system displays three tab pages. Specify two cash flows on the Cash Flow tab page that have different plus/minus signs. The ratio of the first cash flow to the second is equal to the strike rate.

Select Back and then Save

Result

You have created an average spot option with an elementary transaction of transaction form 61 (OTC option) on the first (highest) level of the hierarchy, and with a elementary transaction of the transaction form 41 (foreign exchange) on the lower, second level.

Example

A US company with a yearly revenue of 1.3 billion euro wants to protect itself from falling US dollar rates. The company buys an average rate put option at 1,3 billion euro that runs for a year and is due on 3.19.2005. In the month before the option is due, the euro/US dollar exchange rate is measured on every working day, and the readings are used to calculate the averages. The strike price for the option is the exchange rate at the time the option is concluded, 1.22 euro for each US dollar. The option premium is 460 million euro.

To valuate this option, create a corresponding generic transaction with the value Average Spot Transaction. To do this you need to make the following preparations and simplifications:

The strike price is shown in the system as a foreign exchange transaction with two cash flows in US dollars and euro. The euro-cash flow has an amount of 1.3 billion euro and represents an inflow (as a put-option was agreed). The US dollar cash flow amount is calculated using the strike rate.

The spot averaging is defined using the first averaging date and the number of grid points. Because the system only uses equidistant grid points, it can only enter the 2.19.2005 as the start date, and 20 as the number of grid points, without the days used necessarily being working days.

These simplifications usually only have, however, limited influence on the calculated NPVs of the option.

Elementary Transaction OTC Option (Average Rate Option) on the First (Highest) Level of the Hierarchy

Tab Page

Field

Example of Contents

Comment

Header Information

Start of Term

19.3.2004

You must enter the start of the term of the option. This is, however, not relevant to the price calculator valuations.

Header Information

End of Term

19.3.2005

The end of the term is the same date as the date of the last fixing point.

Header Information

Purchase/Sale

100

Purchase/investment

Cash Flow

Cash Flow Type

05

“Cash flow type” is a customizing term. The values of the cash flow type can vary depending on the Customizing settings

Cash Flow

Due Date

22.3.2004

Date option premium payment is due.

Cash Flow

Cash flow amount

460.000.000-

Premium cash flow For payments, you must enter the ‘-‘ sign after the cash flow amount and in the Direction field.

Cash Flow

Currency

EUR

Cash Flow

Direction

-

Outflow

Option Information

Option Category

2

Average rate option

Option Information

Type of Exercise

1

European

Option Information

Put/Call Indicator

1

Put

Option Information

Strike Amount

1.300.000.000

You do not have to enter the strike price amount. If you do, the system automatically overwrites the cash flow amount with the same currency.

Option Information

Strike Currency

EUR

Option Information

Number of Averaging Times/Dates

20

Number of grid points for the calculation of averages.

Option Information

Number of Fixed Points

0

You have to update the spots that have already been fixed manually. The system does not do this automatically.

Option Information

Next Averaging Date

20.2.2005

You have to update the next averaging date manually. The system does not do this automatically.

Option Information

Mean Value of Exercise Price

0

You have to update the mean value of the spots that have already been fixed manually. The system does not do this automatically.

Elementary Transaction Foreign Exchange at Second (Lower) Level of Hierarchy

Tab Page

Field

Example of Contents

Comment

Cash Flow 1

Cash Flow Type

06

“Cash flow type” is a customizing term. The values of the cash flow type can vary depending on the Customizing settings

Cash Flow 1

Due Date

19.3.2005

End of term of option

Cash Flow 1

Cash flow amount

1.300.000.000

Strike price amount in local currency

Cash Flow 1

Currency

EUR

Local currency

Cash Flow 1

Direction

+

Inflow

Cash Flow 2

Cash Flow Type

06

“Cash flow type” is a customizing term. The values of the cash flow type can vary depending on the Customizing settings

Cash Flow 2

Due Date

19.3.2005

End of term of option

Cash Flow 2

Cash flow amount

1.066.000.000-

Strike price amount in foreign currency. For payments, you must enter the ‘-‘ sign after the cash flow amount and in the Direction field.

Cash Flow 2

Currency

USD

Foreign currency

Cash Flow 2

Direction

-

Outflow