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

Problems arising due to the existing structure, Problems Arising Due to the...

Problems Arising Due to the Existing Structure The problems that arise as a result of an increase in the population of older generation is universal in nature. Unless there are

Calculate betas against local indexes, Does is make any sense to calculate ...

Does is make any sense to calculate betas against local indexes when a company has a great part of its operations outside this local market? Both the betas calculated against l

Hurdles in implementation of securitization, The following are considered t...

The following are considered the major stumbling blocks: The process becomes expensive because of the stamp duty payable. It also

Define the explicit cost of capital, Define the Explicit cost of capital ...

Define the Explicit cost of capital Explicit cost of retained earnings that involve no future flows to or from firm is minus 100 per cent. This must not tempt one to infer that

What is price earnings ratio, What is the Price earnings (PE) ratio PE ...

What is the Price earnings (PE) ratio PE = Market share price/EPS (no. of times) PE ratio is the most widely quoted investors 'ratio. It demonstrates market confidence in a

Cost of preference equity-irr , 1.  Find out the present value of Rs. 10,00...

1.  Find out the present value of Rs. 10,000 to be required after 4 years if the interest rate is 6%. 2.  A Firm can invest Rs. 10,000 in a project with a life of three years.

What can financial institution do for deficit economic unit, What can a fin...

What can a financial institution Frequently do for a deficit economic unit (DEU) that it would have difficulty doing for itself if the DEU were to deal directly along with an SEU?

External credit enhancement, It is in the form of third-party g...

It is in the form of third-party guarantees which protect against losses up to a particular fixed level. This is available in the form of a corp

What is creative accounting, What is Creative accounting Creative accou...

What is Creative accounting Creative accounting (also termed as aggressive accounting or earnings management) distorts financial analysis of company accounts. Creative accounti

Directional strategies--investment strategy of hedge funds, Directional Str...

Directional Strategies : Strategies in this category involve buying or/and selling securities or financial instruments that the markets believe to be significantly overpriced or un

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