The non-arbitrage approach is used for pricing and valuation of forward liabilities and is based on the key concept of the Single Price Law, which states that if two investments have the same future cash flows, regardless of what happens in the future, those two investments should have the same current price. With the PV of the forward price difference adjusted for carry costs and benefits. Alternatively, we now need to discount FRA payments on time t so that we use the LIBOR rate of t until the end of the period (i.e. in 5 months). Step 4) Do the math. As we deal with FRA, each of our courses is weighted (since we use simple interest). With our formula Vt = PV (Ft-F0) and the previous example, we get: %Vt = (FRAt * 90/360 – FRA0 * 90/360) / (1 + 150 days From Libor to t * 150/360), with t = 30 days. This gives us a percentage, so we have to multiply by the nominal amount to get the cash value. This is also from the Langen`s point of view (since we pay the initial fixed FRA0 and receive the variable interest rate, FRAt).
It is important to note that FRAt is our variable/variable rate at time t. Tip: FRAt and FRA0 represent the same period and therefore always have the same time weighting. The fixed rate (or term) term price, including the conversion factor (i.e. the adjusted price), is: in a FRA, you do not have real credits; That is why I said that it was essentially an agreement to take out these loans. Remember, when dealing with Front, that the value at the moment t Vt = PV (Ft-F0) is from the long point of view. It`s pretty much the same formula for FRA`s valuation, just now use simple interest rates. You don`t need to remember another formula for fra assessment. If we are a FRA for a long time, we hope that interest rates will rise because we get the variable interest rate and we pay the fixed rate when it expires. **Note that pricing ≠. Pricing is the determination of the interest rate or price initially agreed and valuation is the determination of the value of the contract after the expiration of t days. “valuation” of futures (non-fra`s), i.e. Vt = PV (Ft-F0) The value of a swap at a time t after introduction is the sum of the cash values of the difference between the fixed exchange rates of the nominal amount indicated.
or: as regards term commitments, there is a clear difference between pricing and valuation. Pricing includes the determination of the appropriate price or fixed rate and valuation includes the determination of the present market value, expressed in monetary units. Conclusion: there are several ways to think about this problem, but I prefer the analogy with Vt = PV (Ft-F0) because it means that I have to memorize a formula. Again, only sub FRA0 for F0, under FRAt for Ft, discount of the end of the FRA period to t and time weighting of all your rates. Future commitments include forwards, futures and swaps. A futures contract is a promise to buy or sell an asset at a future time at a price agreed upon when the contract is committed. The futures contract has a linear payment function with upside and downside risk. For stocks and fixed income, the futures price is determined so that the initial futures value is zero. An advance interest rate agreement (FRA) is ideal for an investor or company that wants to guarantee an interest rate. They allow participants to later make a known interest payment and receive an unknown interest payment. .