# Derivative Pricing – Interest Rate Swaps and Futures – Calculation reference

**Interest Rate Swaps and Future Contracts**

Pricing Interest Rate Swap

Pricing Net Cash Flow

Valuing Futures contracts

Valuing Stock Index Futures

Pricing Futures Contracts on Currencies

Pricing Futures Contracts on Commodities

Pricing Futures Price for Treasury Bond futures contracts

# Interest Rate Swap

## Net Cash Flow

The net cash flow for the buyer of the contract (receiver of floating leg and payer of fixed leg) at each payment date is:

Where t-1 is the payment date on which the floating rate interest was observed and is one payment date prior to the payment date on which the net cash flow is paid.

“days” are the period of time in the interest rate period (in years) based on the appropriate day count convention.

# Futures

## Stock Index Futures

These futuresare used to offset the exposure to a well diversified equity portfolio, in particular the systemic risk associated with the portfolio.

The futures price of stock indices with known yield is as follows:

## Futures Contracts on Currencies

The futuresprice is as follows:

Where F_{0} is the futuresprice in local currency of one unit of foreign currency

S_{0} is the current spot price in local currency of one unit of foreign currency

r is the domestic risk free rate

r_{f} is the foreign risk free rate

## Futures Contracts on Commodities

The futuresprice of a commodity with no storage cost or income is as follows:

The futuresprice of a commodity with storage cost and income is as follows:

Where U is the discounted value of the storage costs net of income during the life of the futurescontract.

## Futures Price for Treasury Bond futures contracts

Where I is the present value of the coupons during the life of the contract discounted at the risk free rate.

## Related posts:

- Black’s Formula: Pricing Interest Rate Caps and Floors – Calculation reference
- Derivative Pricing, Black Scholes Equation, Binomial Trees – Calculation reference
- Financial Engineering and Risk Reference – Pricing and valuation formula
- Online Finance Course – Pricing Interest Rate Swaps – What is a Swap?
- Online Finance Course – Pricing Interest Rate Swaps – Process

## Comments

Mark MenchinFebruary 4, 2011 at 7:25 pmI am a CFA who recently left the business world but is eager to get back in. I would like to take a few ALM courses to brush up but am not sure if these courses are given at a specific location and / or just online. What are the prices and do you have discounts for bundled courses. Also what is your contact phone and e-mail addresses.

Mark

AdministratorFebruary 5, 2011 at 10:58 amDear Mark

Thank you for dropping by.

You can reach me at jawwad at alchemya dot com. Right now the courses are available live every three months in and around Malaysia. Our next workshop on ALM, Liquidity Management, ICAAP and Value at Risk is scheduled for 28th, 29th, 30th March 2011. Given your request I have started thinking about an online version for delivery through the web that should be up and running within the next few months.

For the time being the courses are available for free online. For a small price you can download the material and read it on a self study basis side by side with sample excel templates. I hope that answers your questions.

Warm regards

Jawwad