Bond Valuation

In: Business and Management

Submitted By kup007
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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 higher than the coupon, the bond sells at a discount. * If the yield is lower than the coupon, the bond sells at a premium
Example:
* Consider now an infinite bond, paying a 10% coupon, i.e. $100 forever. * Then if the market return is 10% the bond sells at 100/0.1 =1000. * If the market return is 6% the bond sells at 100/0.06 = 1667 * If the market return is 12% the bond sells at 100/0.12 = 833 * A tentative conclusion: it seems that longer maturity bonds are affected more by interest rate swings. * We will modify this conclusion later.

Valuing a Bond * If today is October 1, 2010, what is the value of the following bond? An IBM Bond pays $115 every September 30 for 5 years. In September 2015 it pays an additional $1000 and retires the bond. The bond is rated AAA (WSJ AAA YTM is 7.5%)

Example - France * In December 2008 you purchase 100 Euros of bonds in France which pay a 8.5% coupon every year. If the bond matures in 2012 and the YTM is 3.0%, what is the value of the bond?

Another Example - Japan * In July 2010 you purchase 200 Yen of bonds in Japan which pay a 8% coupon…...

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