Finance
The formula for valuing a bond is:
P0="t"1nIi (1+i) t+PVn (1+i) n=Presentvalueofcouponpayments+Presentvalueofbond'sparvalue
In the scenario given, n=10 in order to get a value of $1,277.98. This price is at a premium, meaning above the par value. Bonds are price above par value when the interest rate on the bond is higher than the interest rate in the market. When the rate in the market is higher than the coupon rate on the bond, the bond will have a price below par value. So in this case, with the price of the bond being $1,277.98, that assumes that for the next ten years, this bond is going to pay a rate higher than what the market rate is at present. Because the bond holder is receiving a premium, the bondholder must pay for that premium. This can present a problem for the bond holder, in that they will receive back a par value that is lower than their initial investment -- that might not look good, even though the reality is that they were receiving a higher coupon the entire time, which they could have been reinvesting. Such a bond is useful in...
Risk-Free Government bonds are called risk-free because they will be paid back. The underlying assumption is that the U.S. Treasury can always print more money in order to finance the payback of these bonds. That does not by any means make the bonds truly risk-free, but they are guaranteed to return face value. There are actually a few different ways in which government bonds are risky. A recent change to the more
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