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Abstract

f the risky debt as</p><figure id="2d91"><img src="https://cdn-images-1.readmedium.com/v2/resize:fit:800/1*h8g-M67inPlshGerQJ-j8w.png"><figcaption></figcaption></figure><p id="6d2d">Before continuing, let’s make an easy calculation where we have the value of asset volatility and value.</p><figure id="bb1d"><img src="https://cdn-images-1.readmedium.com/v2/resize:fit:800/1*ILIDZDz0CxoKcxTq8BLftA.png"><figcaption>Merton Example</figcaption></figure><p id="81df">As mentioned in the first part, asset volatility and value cannot be observed directly but we can make use of the second formula where</p><figure id="c500"><img src="https://cdn-images-1.readmedium.com/v2/resize:fit:800/1*OFRlTNX92f398oZsBsN-cg.png"><figcaption></figcaption></figure><figure id="d636"><img src="https://cdn-images-1.readmedium.com/v2/resize:fit:800/1*TU8Yl9qJ201hCbSLn5XAEQ.png"><figcaption></figcaption></figure><div id="55ac" class="link-block"> <a href="https://www.linkedin.com/in/selim-unal76/"> <div> <div> <h2>Selim Ünal - Finance Manager - HP Pelzer Pimsa Otomotiv A.Ş. | LinkedIn</h2> <div><h3>View Selim Ünal's profile on LinkedIn, the world's largest professional community. Selim has 5 jobs listed on their…</h3></div> <div><p>www.linkedin.com</p></div> </div> <div> <div style="background-image: url(https://miro.readmedium.com/v2/resize:fit:320/0*BsOSG_1mAShQtEVI)"></div> </div> </div> </a> </div><h2 id="f78c">More…</h2><div id="f6b7" class="link-block"> <a href="https://readmedium.com/credit-default-swaps-cds-for-non-financial-firms-i-2e4a0012d63"> <div> <div> <h2>Credit Default Swaps (CDS

Options

) for Non-Financial Firms — I</h2> <div><h3>Proper pricing of the financial instruments have an overbearing importance on the health and vitality of financial…</h3></div> <div><p>medium.com</p></div> </div> <div> <div style="background-image: url(https://miro.readmedium.com/v2/resize:fit:320/1*s_c0gUFDzqXMWkANV6xzDw.png)"></div> </div> </div> </a> </div><div id="5407" class="link-block"> <a href="https://readmedium.com/do-you-have-control-of-your-cryptocurrencies-cfccd010d810"> <div> <div> <h2>Do You Have Control of Your Cryptocurrencies?</h2> <div><h3>Nowadays, it’s easy to own some sort of cryptocurrencies, for example, it’s easy to own a few parts of Bitcoin. But is…</h3></div> <div><p>medium.com</p></div> </div> <div> <div style="background-image: url(https://miro.readmedium.com/v2/resize:fit:320/0*SC9T-xvV6eYW9qU5)"></div> </div> </div> </a> </div><div id="eba0" class="link-block"> <a href="https://readmedium.com/how-to-reduce-cyber-risks-97cbed346a87"> <div> <div> <h2>How To Reduce Cyber Risks</h2> <div><h3>A strong control environment design for cyber risks requires an understanding of the functions of the controls to be…</h3></div> <div><p>medium.com</p></div> </div> <div> <div style="background-image: url(https://miro.readmedium.com/v2/resize:fit:320/0*-Cno52xJz7gfLRfk)"></div> </div> </div> </a> </div></article></body>

Credit Default Swaps (CDS) for Non-Financial Firms — Mathematics

This article series will be about credit default swap premium calculation for Turkish BIST30 non-financial firms. First part will be general introduction of the concept, second part about mathematical background and third part about detailed calculations for specific firms.

Photo by Crissy Jarvis on Unsplash

The second part of the article will deal with some mathematics underlying the calculation of CDS for public non-financial firms. If you are not familiar with the underlying mathematics, you may skip (which I do not advise) to third part which has the results for BIST30 firms.

Let’s define the parameters for the calculation.

Parameters for Black Scholes Merton Formula

Then our basic formula will be

where N is normal cumulative distribution function. By using properties of normal distribution fuction and the fact that debt is assets minus equity, we can also derive present value of the risky debt as

Before continuing, let’s make an easy calculation where we have the value of asset volatility and value.

Merton Example

As mentioned in the first part, asset volatility and value cannot be observed directly but we can make use of the second formula where

More…

Credit Default Swap
Black Scholes Merton
Normal Distribution
Databulls
Financial
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