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

Compute full cost-financially-based rationale , Bill Nicholson wants you to...

Bill Nicholson wants you to help him prepare the financial case for moving the manufacturing operation to Andover.   He has specifically expressed interest in getting answers to th

Principle of opportunity cost, Suppose you have recently been contracted as...

Suppose you have recently been contracted as a financial consultant to a London-based engineering company, Alpha Products Plc. The company uses three components as part of their pr

Describe the merits and demerits of mutual funds, Question 1 Briefly expla...

Question 1 Briefly explain the important legislations that regulates the insurance sector Question 2 What do you mean by sales cycle? Briefly explain the different stages in

Trade credit, X company sells on terms of 2/10, net 40. Gross sales last ye...

X company sells on terms of 2/10, net 40. Gross sales last year were $4.5 million and accounts receivable averaged $ 437,500. Half of X''s customers paid on day 10 and took discoun

Define the p/e valuation method, Define the P/E valuation method. Under wha...

Define the P/E valuation method. Under what circumstances should a stock be valued using this method? The P/E ratio specifies how much investors are willing to pay for each dol

What is accumulated depreciation?, What is accumulated depreciation? De...

What is accumulated depreciation? Depreciation is the provision of an asset's initial cost over time.  Accumulated depreciation is the sum of all the depreciation expense that

Assignment, Imagine you have been allocated $100,000 which is to be investe...

Imagine you have been allocated $100,000 which is to be invested in 8 companies listed on the Australian Stock Exchange (ASX). You are required to have a balanced portfolio betwee

risk/return profile of the convertible security, Let us consider thr...

Let us consider three scenarios of changes in stock prices and look into the risk return profile of the convertible security. Let us assume that the stock prices

Explanation and definition of the mos, a) i = 800 units, ii = 250 units, ii...

a) i = 800 units, ii = 250 units, iii = 60% b) Explanation and Definition of the MOS. Play-it has the better MOS in absolute terms, although Tread-it has the better MOS when mea

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