Value and Price of Swaps

Value and Price of Swaps


A swap is an agreement between two parties to exchange a series of cash flows, which can also be viewed as a series of forward contracts. Swap pricing is the determination of the initial terms of the swap at the inception of the contract. On the other hand, swap valuation is the determination of market value during the life of the swap contract.

Swaps are equivalent to a series of forward contracts, each created at the swap price. If the present value of the payments in a swap or forward contract is not zero, then the party who will receive the greater stream of payments must pay the other party the present value of the difference, i.e., the net value.

Interest Rate Swaps

An interest rate swap is an agreement to exchange one stream of interest payments for another, based on a specified principal amount, over a specified period of time. Here is an example of a plain vanilla interest rate swap with Bank A paying the LIBOR + 1.1% and Bank B paying a fixed 4.7%:

interest-rate-swaps

As in most financial transactions, a swap dealer is between the two parties taking a commission on the trade.

At inception, the value of an interest rate swap is zero. Therefore, the fixed rate on the swap has to be such that the present value of the fixed payments is equal to the present value of the floating payments. A received fixed-rate swap should be treated as buying a fixed-rate bond and issuing a floating rate bond:

$$\text{Value of swap (receiving fixed)}= \text{Value of fixed-rate bond (long)} – \text{Value of floating-rate bond (short)}$$

Question

What is the difference between the price and the value of a swap?

A. The price of the swap refers to the initial terms of the swap at the start of the swap’s life and value refers to determining the market value of the swap at any point in its life

B. The price of the swap refers to the fluctuating positive/negative prices throughout the lifecycle of the swap and the value is the price of the swap at initiation

C. The price and the value of the swap are exactly the same and they both fluctuate throughout the life of the swap.

Solution

The correct answer is A.

The value of a swap is its market value at any point in time. At inception, the value of an interest rate swap is zero. The price of the swap refers to the initial terms of the swap at the start of the swap’s life.

Shop CFA® Exam Prep

Offered by AnalystPrep

Featured Shop FRM® Exam Prep Learn with Us

    Subscribe to our newsletter and keep up with the latest and greatest tips for success
    Shop Actuarial Exams Prep Shop Graduate Admission Exam Prep


    Sergio Torrico
    Sergio Torrico
    2021-07-23
    Excelente para el FRM 2 Escribo esta revisión en español para los hispanohablantes, soy de Bolivia, y utilicé AnalystPrep para dudas y consultas sobre mi preparación para el FRM nivel 2 (lo tomé una sola vez y aprobé muy bien), siempre tuve un soporte claro, directo y rápido, el material sale rápido cuando hay cambios en el temario de GARP, y los ejercicios y exámenes son muy útiles para practicar.
    diana
    diana
    2021-07-17
    So helpful. I have been using the videos to prepare for the CFA Level II exam. The videos signpost the reading contents, explain the concepts and provide additional context for specific concepts. The fun light-hearted analogies are also a welcome break to some very dry content. I usually watch the videos before going into more in-depth reading and they are a good way to avoid being overwhelmed by the sheer volume of content when you look at the readings.
    Kriti Dhawan
    Kriti Dhawan
    2021-07-16
    A great curriculum provider. James sir explains the concept so well that rather than memorising it, you tend to intuitively understand and absorb them. Thank you ! Grateful I saw this at the right time for my CFA prep.
    nikhil kumar
    nikhil kumar
    2021-06-28
    Very well explained and gives a great insight about topics in a very short time. Glad to have found Professor Forjan's lectures.
    Marwan
    Marwan
    2021-06-22
    Great support throughout the course by the team, did not feel neglected
    Benjamin anonymous
    Benjamin anonymous
    2021-05-10
    I loved using AnalystPrep for FRM. QBank is huge, videos are great. Would recommend to a friend
    Daniel Glyn
    Daniel Glyn
    2021-03-24
    I have finished my FRM1 thanks to AnalystPrep. And now using AnalystPrep for my FRM2 preparation. Professor Forjan is brilliant. He gives such good explanations and analogies. And more than anything makes learning fun. A big thank you to Analystprep and Professor Forjan. 5 stars all the way!
    michael walshe
    michael walshe
    2021-03-18
    Professor James' videos are excellent for understanding the underlying theories behind financial engineering / financial analysis. The AnalystPrep videos were better than any of the others that I searched through on YouTube for providing a clear explanation of some concepts, such as Portfolio theory, CAPM, and Arbitrage Pricing theory. Watching these cleared up many of the unclarities I had in my head. Highly recommended.