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

Rationale of accounting standards, Rationale of Accounting Standards A...

Rationale of Accounting Standards Accounting Standards are created along with a view to harmonise various accounting policies and practices in use inside a country. The goal o

Which method should we use to valuate young companies, Which method should ...

Which method should we use to valuate young companies with high growth but uncertain futures? Two examples were Boston Chicken and Telepizza when they began. The great majo

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

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?

Leverage, evaluate the importance of leverage in financial management of a ...

evaluate the importance of leverage in financial management of a small scale company

Mortgage-backed bonds, Unlike the mortgage pass-through securities, t...

Unlike the mortgage pass-through securities, the mortgage-backed bonds are debt obligations of the mortgage originator. Every issue of such bonds should be backed

What is the deferred tax asset or liability at the end yr, AB Corp expensed...

AB Corp expensed on the financial stmt $2,000,000 for depreciation expense during the year using straight line depreciation and deducted $3,000,000 of depreciation on the tax retur

Explain the features of new public management, Question 1: "The governa...

Question 1: "The governance of modern states demands that a relentless struggle be waged against the scourge of corruption." Discuss. Question 2: Explain clearly how th

LPP, A paper mill produces two grades of paper viz., X and Y. Because of ra...

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

Determine principal balance at the end of the term, 1. CompuSystems was sup...

1. CompuSystems was supposed to pay a manufacturer $19,000 four month ago and another $14,000 two months from now.  CompuSystems is proposing to pay $10,000 today and the balance i

State the economic conditions of cost of capital, State the economic condit...

State the economic conditions of cost of capital General economic conditions These include demand for and supply of capital within the economy and level of expected inflatio

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