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

Cash management and inventory management, I am facing some problems in my a...

I am facing some problems in my assignment of Cash Management and Inventory Management. Can anybody suggest me the proper explanation for it?

Walters and gordon model, Following are the details relating to three compa...

Following are the details relating to three companies which are identical in terms of ''r'' ABC ltd MNC ltd XYZ ltd Cost of capital

Explain adjustments necessary to translate enterprise value, Explain the ad...

Explain the adjustments necessary to translate enterprise value to the total present value of common equity. To acquire the value of the company’s common stock, add the value of

What is dividend decision, What is Dividend Decision Determination o...

What is Dividend Decision Determination of funds requirements and how much of itwould be generated from internal accruals and how much to be sourced from outsideis a crucial

Interest rate anticipation strategies, Active bond management depends...

Active bond management depends on an economic scenario in order to forecast the movements of yield curve. A portfolio manager skillfully builds a portfolio wit

Understand by the term government policy agenda, Question 1: Give an ac...

Question 1: Give an account of the role of governmental bodies and officials in the making of public policies. Question 2: What do you understand by the term "Governmen

Define primary reserves of a bank, What are a bank's primary reserves? When...

What are a bank's primary reserves? When the Fed sets reserve requirements, what is its primary goal? Vault cash and deposits in the bank's account at the Fed are employed to s

Can a company have a default rate on its accounts receivable, Can a company...

Can a company have a default rate on its accounts receivable that is too low?  Explain. A company could comprise a default rate on AR that would be referred too low if by liberal

Deficiency in operation, Deficiency in Operation - This exists when a prope...

Deficiency in Operation - This exists when a properly designed control doesn't operate as designed or when person performing the control doesn't possess the necessary authority or

Compute the discount and premium, Suppose the bid-ask spot prices for one B...

Suppose the bid-ask spot prices for one British pound are $1.50 and $1.60 respectively. 1. Compute the bid-ask prices for one US dollar in terms of British pound. 2. Suppose

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