Derivatives Solved Assignment

This homework assignment focuses on derivatives, specifically addressing bond pricing and the relationship between bond price and yield to maturity (YTM). The solution includes calculations demonstrating how to determine the bond market price given a specific YTM. A graph illustrates the inverse relationship between bond price and YTM. The concept of bond duration is explained, highlighting its significance in understanding price sensitivity to yield changes. The solution also mentions the importance of considering bond convexity alongside duration for a complete understanding of price movements. The assignment utilizes an Excel sheet (not included in the provided text) for detailed calculations. References to relevant finance textbooks and academic journals are provided.

Running head: DERIVATIVES
Derivatives
Name of the Student:
Name of the University:
Author’s Note:

DERIVATIVES 1
Table of Contents
Answer A2:.....................................................................................................................................2
Answer A3:......................................................................................................................................2
Answer A3:......................................................................................................................................3
Reference & Bibliography:..............................................................................................................5

DERIVATIVES 2
Answer A2:
The bond market price on 11th July 2017 will be $1113.69 if the yield to maturity of the
affirmed bond is 1.858% per annum yearly compounding on the same date. The calculations are
reflected in detail in the excel sheet given below:
Answer A3:
The relationship between the price of bond and yield to maturity is represented in the graph
given below:
1.0
% 1.1
% 1.2
% 1.3
% 1.4
% 1.5
% 1.6
% 1.7
% 1.8
% 1.9
% 2.0
% 2.1
% 2.2
% 2.3
% 2.4
% 2.5
% 2.6
% 2.7
% 2.8
% 2.9
% 3.0
%
950
1000
1050
1100
1150
1200
Market Value vs. YTM
Market Value
YTM
Market Value

DERIVATIVES 3
The above graph reflects that the bond price in the market will decline with the rise in
rate of yield-to maturity (YTM). This signifies that the YTM for this bond have inverse
relationship with the market value. Fair value of the bond refers to the current value of cash
flows stream. On the other hand, YTM is generally used as rate of discount in order to determine
the current value of the flow of cash. It has been generally examined that the bonds that sold at
par, the rate of coupon used becomes equivalent to yield to maturity. In the above case, as the
bonds are exchanged at par, YTM of the bond becomes less than the rate of coupon. Thus, the
bonds market value declines with the rise in YTM. The market value would continue to decrease
until the YTM becomes equivalent to rate of coupon. Thus, rise in YTM would lead to increase
in the market value (KUEHN and Schmid 2014).
Answer A3:
Bond duration refers to the weighted periods in average unless the fixed flow of cash
produced from the bonds is attained. Therefore, it signifies the price percentage for one unit of
yield change. It has been estimated from the excel sheet, the period of the given bond is 6.94.
It indicates that the bond market value will vary by 6.94% if yield rate varies by 1% point
(Jordan 2014). Therefore, it highlights that duration does not specify whether there will be rise or

DERIVATIVES 4
decline in market value with respect to yield rate change. Thus, derermination of bond convexity
is essential along with duration as it shows the direction of movement of bond price. (Hsu et al.
2015).

DERIVATIVES 5
Reference & Bibliography:
Bodie, Z., Kane, A. and Marcus, A.J., 2014. Investments, 10e. McGraw-Hill Education
Hsu, P.H., Lee, H.H., Liu, A.Z. and Zhang, Z., 2015. Corporate innovation, default risk, and
bond pricing. Journal of Corporate Finance, 35, pp.329-344
Jordan, B., 2014. Fundamentals of investments. McGraw-Hill Higher Education
KUEHN, L.A. and Schmid, L., 2014. Investment‐Based Corporate Bond Pricing. The Journal of
Finance, 69(6), pp.2741-2776