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

Economics, a) Define monetary policy, and discuss the operation of monetary...

a) Define monetary policy, and discuss the operation of monetary policy in the United States post-GFC.

Calculate rate of return on investment in terms of us dollar, Mr. James K. ...

Mr. James K. Silber, an avid international investor, just sold a share of a French company, for FF50. The share was bought for FF42 a year ago. The exchange rate is FF5.80 each U.S

Increased common stock cash dividend signal to stock holder, Do you believe...

Do you believe an increased common stock cash dividend can send a signal to the common stockholders?  If so, what signal might it send? An enhance in cash dividends is often se

Preparing financial statements using accrual basis, Question: On a pilo...

Question: On a pilot basis a Government Department, PPO, is preparing its financial statements using accrual basis. The following information is provided: The following bala

Revenue bonds, Revenue bonds are the securities issued for financing ...

Revenue bonds are the securities issued for financing an entity for general      public-purpose. The securities issued for entity financing are backed up with the

Factors considered for analyzing sovereign rating, Table 1:  ...

Table 1:  Politics Stability of the existing government structure National/provincial government r

Caselet, 1.How would you judge the potential profit of Bajaj Electronics on...

1.How would you judge the potential profit of Bajaj Electronics on the first year of sales to Booth Plastics and give your views to increase the profit? 2. Suggestion regarding C

Capital budgeting., definition and importance of capiyal budgeting

definition and importance of capiyal budgeting

Reasons for growth of hedge funds, Reasons for Growth of Hedge Funds Ma...

Reasons for Growth of Hedge Funds Many Hedge Fund strategies have the ability to generate positive returns in both rising and falling equity and bond markets. Inclusion of Hedg

Assignment, Hi, what is your time limits on providing solutions

Hi, what is your time limits on providing solutions

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