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

Explain common methods for controlling translation exposure, It is, usually...

It is, usually, not possible to totally eliminate both translation exposure and transaction exposure.  In few cases, the elimination of one exposure will as well eliminate the othe

Approaches of the strategic human resource management, Approaches of the St...

Approaches of the Strategic human resource management (SHRM): 1. Attempts to the human linkage of some kind activities with competency based performance measures. 2. Attemp

What is performance appraisal - cost of capital, What is Performance apprai...

What is Performance appraisal - cost of capital Performance appraisal further, cost of capital framework can be used to evaluate financial performance of top management. I

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

Securities analysis, 7. Bill Peters is the investment officer of a $60 mill...

7. Bill Peters is the investment officer of a $60 million pension fund. He has become concerned about the big price swings that have occurred lately in the fund’s fixed income sec

Issuing procedure - t-bills, Issuing Procedure Treasury bills are sold ...

Issuing Procedure Treasury bills are sold using the auction procedure. The Treasury entertains both competitive and non-competitive tenders for T-Bills. Government securities f

Define production limits used in practice to raise prices, How are producti...

How are production limits used in practice to raise the prices of the following goods or services: (a) taxi rides, (b) drinks in a restaurant or bar, (c) wheat or

Public financial statements of a company, Public Financial Statements of a ...

Public Financial Statements of a Company The final exercise is the valuation of a publicly held company's equity. You must base your valuation on the company's public financia

Differences between indirect costs and direct costs, a) Variable costs: Rem...

a) Variable costs: Remuneration of flight attendants, Meals and drinks onboard, Fuel. Fixed costs: promotions and Advertising, Remuneration of administrative staff and Airport c

Types of mortgages, Types of Mortgages 1. Traditional...

Types of Mortgages 1. Traditional Mortgages 2. Non -  Traditional Mortgages 3.  Graduated-Payment Mortgages (GPMs) 4.  Pledged-Account Mortg

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