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Government securities are the most important and unique financial instruments in the financial markets of any economy. Government of India Securities (GOI Sec) include debt obligations of the central government, state governments and other financial institutions owned by central and state governments. As the repayment of principal as well as interest is secured by the government or its guarantee, these instruments are usually referred to as 'Gilt-Edged Securities'. Literally, gilt means gold, and therefore, a gilt-edged security implies 'security of the best quality'. As government securities are loans floated by the government, they become a part of the national debt of the country and the payment of interest on them and also their repayment has a first charge on a nation's purse. Hence, they are absolutely secured financial instruments, guaranting the capital as well as the interest income. Central government securities are considered to be the safest claims amongst stocks of local authorities and industrial debentures, etc. Thus, investors prefer to invest in these securities though the rate of interest is relatively low, when compared to other money market instruments. In the absence of default risk, they are regarded as risk-free investments.
To understand how treasury spot rates are used to calculate the arbitrage-free value of the treasury security, we will take imaginary treasury spot rates (given i
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