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

Revenue recognition or realisation, Revenue Recognition or Realisation ...

Revenue Recognition or Realisation The resources of business are utilized to earn revenue through sale of goods or rendering of services.The American Accounting Association d

Pension reforms, Pension Reforms On January 1, 2004, Pension Funds have...

Pension Reforms On January 1, 2004, Pension Funds have come into force in India. Government servants will have to subscribe to them. The new pension fund system is primarily dr

Delivery and credit risk, When a borrower uses repo market for fund f...

When a borrower uses repo market for fund financing, he has to deliver the securities to the lender. One way to do this is to deliver the collateral to the lender

Constructing index numbers - weighted aggregates index, Weighted Aggregates...

Weighted Aggregates Index   In a weighted aggregates index, weights are assigned according to their significance and consequently the weighted index improves the accuracy of the

Example on modigliani and miller approach, Q. Example On modigliani and mil...

Q. Example On modigliani and miller approach? The subsequent is the data regarding two companies X and Y belonging to the same risk class: Company X

WACC, WHAT ARE THE MAIN VIEWS OF WACC PREVALENT IN THE FINANCIAL MANAGEMENT...

WHAT ARE THE MAIN VIEWS OF WACC PREVALENT IN THE FINANCIAL MANAGEMENT LITERATURE

Determine the expected return and risk of investing, Question: The stoc...

Question: The stock of Bax Limited performs relatively well to other stocks during recessionary periods. The stock of Pax Limited, on the other hand, does well during growth

Volume of issues of central and state government securities, Volume of Issu...

Volume of Issues of Central and State Government Securities The growth of government securities market in India and the investor response to the government bond issues can be k

Management of sundry debtors, Management of Sundry Debtors: SUNDRY - M...

Management of Sundry Debtors: SUNDRY - Miscellaneous infrequent or small customers that are not given individual ledger accounts but are classified as a group. SUNDRY CREDI

Explain the role of commission authorities, Explain the Role of commission ...

Explain the Role of commission authorities Competition Directorate is one of the independent public bodies which help ensure healthy competition between companies which then be

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