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

The japanese pension fund system, The Japanese Pension Fund System The J...

The Japanese Pension Fund System The Japanese pension system is a multi-pillar system. Public and private pension schemes are the two important pillars. The first tier is the Ba

Describe the dividend yield method, Q. Describe the Dividend Yield Method? ...

Q. Describe the Dividend Yield Method? Dividend Yield Method: - This process is based on the assumption that when an investor invests in the equity shares of a company he expec

Methods of workers participation in management, Methods of workers particip...

Methods of workers participation in management: the various methods of workers participation in management are as follows: 1. Informative participation: it refers to sharing of

Importance of the cost of capital, Q. Importance of the cost of capital? ...

Q. Importance of the cost of capital? 1. Evaluating financial performance: the actual profitability of the project is compared to the projected overall cost of capital and th

Defien contractual savings institutions, Contractual savings institutions ...

Contractual savings institutions Contractual savings institutions obtain funds at periodic intervals on a contractual basis. The industry is classified into two main groups ins

Buy and hold - passive strategy, A simple passive strategy involves b...

A simple passive strategy involves building a portfolio and holding it through time. The coupons as well as the proceeds of matured bonds are just reinvested in new iss

Guaranteed income supplement, In addition to the public pension plans, Rob ...

In addition to the public pension plans, Rob and Ellen also have RRSPs.  What options will they have when they retire if they want to draw money from their RRSPs?  Identify one str

Expected monthly return, In this exercise you will construct efficient port...

In this exercise you will construct efficient portfolios with 5 risky assets using Excel's non-linear optimization routing "Solver". The questions are designed to be sequential and

Compute the fair value of the stock, QUESTION Part A Lavista Ltd i...

QUESTION Part A Lavista Ltd is a leading music entertainment company in the country and the stocks of the company are actively traded in the stock exchange. For the year j

Explain payback period of CHROMEX PLC, CHROMEX PLC Payback period ...

CHROMEX PLC Payback period Payback period must be based on cash flows that is the cash generated from operations and the capital invested by Chromex. Profit is different f

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