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Bond Valuation

Satisfactory Essays

Bond Valuation: * How do we use NPV to value bonds? One simply computes the present value of the cash flows at the appropriate rate of return. This corresponds approximately to the full price of the bond (as opposed to the listed price). * E.g.: a one period, $1000 bond, 10% coupon is valued at:

$1037 (1100/1.06) if the market rate of return is 6%. The bond sells at a premium. * $1000 if the market rate of return is 10%. The bond sells at par. * $982 if the market rate of return is 12%. The bond sells at a discount.
Tentative Conclusions * The higher the appropriate interest rate, the lower the price of the bond. * If the yield matches the coupon , then the bond sells at par. * If the yield is …show more content…

* However, if inflation increases to 5% and the market rate goes up to approximately 8% (exactly 8.15%) the value of the bond drops to approximately $1000. So inflation decreases the value of nominal bonds (assuming the real interest rate stays the same).
Floating Rates and Indexed Bonds * A floating rate or an indexed bond takes care of that problem, usually imperfectly. *
An indexed bond only corrects for inflation, in other words, if real interest rates move, it will still fluctuate in price. A floating rate bond is indexed to some benchmark interest rate, such as the prime rate, or some rate on treasury obligations, and thus adjusts for changes in rates due to both inflation and real interest rate changes.
TIPS
* TIPS are offered by the treasury as of January of 1997, work approximately like bond B. The principal is indexed (semi-annually) and the interest rate stays the same. Thus inflation risk is taken care of. * An Example: The principal is $1000. The interest is 6%. Assume a 10% inflation. * The investor will receive: 1000 x 1.1 x 1.06 = $1166. * The interest rate, which is set at auction, remains fixed throughout the term of the security.
Summary:
* The fixed income sector of the economy is very large. * In principle, pricing bonds and other fixed income securities is easy- we calculate the PV of the promised future payments. * As interest rates increase, bond prices decrease and vice versa, and thus

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