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

Decision making, Write a report to the Board of Directors of Solvent Ltd to...

Write a report to the Board of Directors of Solvent Ltd to analyse the performance of companies X and Y and to give recommendation as which of those two investment opportunities is

Explain the term- authorised and paid-up share capital, Explain the term- A...

Explain the term- Authorised and Paid-up Share Capital Number of shares of stock provided for in Articles of Association of a company is the authorized share capital. This figu

Corporate debt, which critically examines the benefits and risks to a compa...

which critically examines the benefits and risks to a company, of incorporating corporate debt into a portfolio of equity and debt.

Push strategy, Push Strategy This is referred for marketing approa...

Push Strategy This is referred for marketing approach in which a manufacturer uses its sales force and trade promotions to sell a product actively to retailers and wholesa

Explain the structure of financial systems, Explain the structure of financ...

Explain the structure of financial systems In direct finance borrower-spenders borrow funds straight from lenders in the financial markets by selling them securities. In indire

Zero-coupon bonds, All the bonds are not making periodic coupon payments. ...

All the bonds are not making periodic coupon payments. Zero-coupon bonds are those bonds where the bondholder realizes interest by buying it at a deep discount to its face

Assignmment, what is logical process modelling? what is physical modelling?...

what is logical process modelling? what is physical modelling?

Stock exchange of hong kong, Stock Exchange of Hong Kong Securities tra...

Stock Exchange of Hong Kong Securities trading in Hong Kong started in 1866; however, the first formal stock market, the Association of Stockbrokers in Hong Kong, was establish

Calculate amount of first coupon payment your organization, Your firm has p...

Your firm has presently issued five year floating-rate notes indexed to six-month U.S. dollar LIBOR plus 1/4%.  What is the amount of first coupon payment your organization will pa

What is investment decision, Q. What is Investment Decision ? Investmen...

Q. What is Investment Decision ? Investment Decision: - Investment decision as well known as 'Capital Budgeting' is related to the selection of long-term assets or projects in

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