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FutureStarrA Pv of Bond
The cost of Pv of Bond is a function of the yield plus the price to compute its value. The price is a simple calculation: If a bond is selling today, that means its yield is today’s interest rate. If a bond is not selling today, its yield is zero because its price is equal to its face value or current price.
Bond valuation is a technique for determining the theoretical fair value of a particular bond. Bond valuation includes calculating the present value of a bond's future interest payments, also known as its cash flow, and the bond's value upon maturity, also known as its face value or par value. Because a bond's par value and interest payments are fixed, an investor uses bond valuation to determine what rate of return is required for a bond investment to be worthwhile.
Current price: Depending on the level of interest rate in the environment, the investor may purchase a bond at par, below par, or above par. For example, if interest rates increase, the value of a bond will decrease since the coupon rate will be lower than the interest rate in the economy. When this occurs, the bond will trade at a discount, that is, below par. However, the bondholder will be paid the full face value of the bond at maturity even though he purchased it for less than the par value. (Source: www.investopedia.com)
Bond valuation looks at discounted cash flows at their net present value if held to maturity. Duration instead measures a bond's price sensitivity to a 1% change in interest rates. Longer-term bonds have a higher duration, all else equal. Longer-term bonds will also have a larger number of future cash flows to discount, and so a change to the discount rate will have a greater impact on the NPV of longer-maturity bonds as well.
The bond price can be calculated using the present value approach. Bond valuation is the determination of the fair price of a bond. As with any security or capital investment, the theoretical fair value of a bond is the present value of the stream of cash flows it is expected to generate. Therefore, the value of a bond is obtained by discounting the bond’s expected cash flows to the present using an appropriate discount rate. In practice, this discount rate is often determined by reference to similar instruments, provided that such instruments exist. The formula for calculating a bond’s price uses the basic present value (PV) formula for a given discount rate. (Source: courses.lumenlearning.com)