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

Determine the financial structure of business risk, Determine the Financial...

Determine the Financial structure of business risk Financial structure shifts toward suppliers of funds recognize a more highly levered position increased financial risk associ

Show the accountable plan, Q. Show the Accountable Plan? Accountable P...

Q. Show the Accountable Plan? Accountable Plan - An accountable plan is any reimbursement or other expense allowancearrangement of an employer which meets all of the subseque

Evaluate the fair value of the net assets, Treatment of PER IFRS 3 Bu...

Treatment of PER IFRS 3 Business combinations necessitate goodwill on gaining to be calculated at the date control is gained. The second gaining gives ROB a 75% holding and

Budget setting styles, Advantages and disadvantage of pacipatory style of b...

Advantages and disadvantage of pacipatory style of budgeting

Show maximum opportunity cost, Q. Show Maximum opportunity cost? If Mar...

Q. Show Maximum opportunity cost? If Marton hedges all its awaited dollar income over the next year at US$1.55: £l this will make guaranteed (ignoring other sources of risk) st

Issuing procedure of treasury bills, Issuing Procedure of treasury bills ...

Issuing Procedure of treasury bills As discussed above, the RBI on behalf of central government, announces the auctioning of T-bills by tender notification through the press. T

Define the role of cash and of earnings, Define the role of cash and of ear...

Define the role of cash and of earnings while a corporation is deciding how much, if any, cash dividends to pay to common stockholders. In the long-run earnings are essential to

Historical look at the treasury yield curve, The minimum interest rate ...

The minimum interest rate which investors demand for non-treasury securities is represented by the yield offered on the treasury securities. This is why market particip

Define the negative consequences of a company holding, What are the negativ...

What are the negative consequences of a company holding too much cash? A company holding so much cash would be giving up the opportunity to invest much more in income producing a

Size of the business, Size of the business / scale of the operation : the ...

Size of the business / scale of the operation : the working capital requirement of the concern are directly influence the by the size of the business which may be measured in the

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