Arbitrage-free valuation approach, Financial Management

Assignment Help:

The main drawback of the tradition approach of valuation is that it discounts every cash flow using the same discount rate. For example, let us take 5-year (7.00 per cent) Treasury security (maturing in 2010). The cash flow per Rs.100 of par value would be a payment of Rs.3.50 every six months and Rs.103.50 tenth 6-month period from now.  However, the best way to see the 5-year 7% security is as a package of zero-coupon bonds whose maturity value and date is the amount and date of cash flow respectively. Thus, 5-year, 7% security should be viewed as 10 zero-coupon bond. The main reason is that it does not allow a market participant to realize an arbitrage profit by taking apart or "stripping" a security and selling off the stripped securities at a higher aggregate value it would cost to purchase the security in the market. This approach is known as an arbitrage-free valuation approach.

The difference between the traditional and arbitrage-free valuation approach is explained in the table 5. 

Table 1: Comparison of Traditional Approach and
Arbitrage-Free Valuation Approach in 7% Treasury Security

Period
(6 month each)

Discount (Base Interest) Rate

Cash Flows per Rs. 100 of par value

Traditional Approach

Arbitrage-Free Valuation Approach

    1

5-year Treasury rate

  1-period Treasury spot rate

   3.5

  2

5-year Treasury rate

  2-period Treasury spot rate

   3.5

  3

5-year Treasury rate

  3-period Treasury spot rate

   3.5

  4

5-year Treasury rate

  4-period Treasury spot rate

   3.5

  5

5-year Treasury rate

  5-period Treasury spot rate

   3.5

  6

5-year Treasury rate

  6-period Treasury spot rate

   3.5

  7

5-year Treasury rate

  7-period Treasury spot rate

   3.5

  8

5-year Treasury rate

  8-period Treasury spot rate

   3.5

  9

5-year Treasury rate

  9-period Treasury spot rate

   3.5

10

5-year Treasury rate

10-period Treasury spot rate

103.5                              

Under traditional approach interest rate on the bond is the yield of 5-year treasury security. In arbitrage-free approach the interest rate for a cash flow is the theoretical rate that the treasury security has to pay if it issued as a zero-coupon bond with maturity date equal to the maturity date of the cash flow. So, it is necessary to decide the theoretical rate that the treasury security has to pay on a zero coupon for each maturity. Zero-coupon treasury rate is also known as 'Treasury Spot Rate'. In the next chapter, we will understand how to calculate the treasury spot rate. When the value of a bond is calculated based on spot rate, the resulting value is known as arbitrage-free value.


Related Discussions:- Arbitrage-free valuation approach

Effective duration and convexity, Effective Duration and Convexity The ...

Effective Duration and Convexity The modified duration is a measure of the sensitivity of a bond's price to interest rate changes; the assumption made here is that the expected

Analyse consumer behaviour, Eatmore & Green Pty. Ltd (Australia) is a succe...

Eatmore & Green Pty. Ltd (Australia) is a successful medium sized marketing consultancy for Australian agricultural products and Australian sourced organic, natural beauty/cosmetic

Financial mangement enviroment, 1. role financial intermediaries 2. nature ...

1. role financial intermediaries 2. nature and role of money markets

Financial reform, The recent financial reform in the Public Sector that had...

The recent financial reform in the Public Sector that had been implemented in Fiji is essential. Critically evaluate this statement.

OPERATING CYCLE, Discuss the applicability of an operating in vegetable gro...

Discuss the applicability of an operating in vegetable growing business in Uganda.

What is the ratio uses, What is the Ratio uses To compare results over ...

What is the Ratio uses To compare results over a period of time To measure performance against other organisations To compare results with a target To compare against

Illustration of total return on investment, Illustration  An inve...

Illustration  An investor with a 1-year investment horizon purchases a 20-year 5% corporate bond. The prevailing price of the bond is Rs.82.3488 for a yield of 6.2%

Step-up (step down) notes, These types of securities have more ...

These types of securities have more than one coupon rate and each subsequent coupon rate is higher (or lower) than the previous coupon rate. For

What is free cash flow, A financial consultant obtains different valuations...

A financial consultant obtains different valuations of my company when it discounts the Free Cash Flow (FCF) as opposed to when it uses the Equity Cash Flow. Is this correct? N

"a" round financing, "A" Round Financing "A" Round Financing is the fir...

"A" Round Financing "A" Round Financing is the first main round of business financing through private equity investors or venture capitalists. In private equity investing, an "

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd