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Topic 43: Measures of Investment Returns - 145 C The yield to maturity can easily be solved using a nancial calculator, in the same way as nding the internal rate of return For example, assume a $1,000 par bond is priced at $950 with a 10 percent semiannual coupon payment The bond matures in three years The yield to maturity is found as follows: N = 6; PV = $950; FV = $1,000; PMT = $50 solve for I = 601 2 = 1203% D Yield to maturity (and internal rate of return) has a shortcoming: It assumes all cash ows are discounted at the same rate and are reinvested at the yield to maturity rate (IRR) If cash ows are not reinvested at the IRR, the realized return does not equal the IRR This is de ned as reinvestment risk 10 Yield to call A The yield to call is used to determine the internal rate of return earned by the bond until it is called or retired by the rm The yield to call is calculated in a similar way as is the yield to maturity, except (1) The expected call date is used in place of the known maturity date (2) The principal plus call penalty is used in place of principal only B Suppose a bond matures after 10 years and pays a 10 percent semiannual coupon rate and is selling for $925 The yield to maturity is 1126 percent An investor believes the bond will be called in ve years at a penalty of $75 per $1,000 bond The yield to call is calculated, using a nancial calculator, as N = 10, PV = $925, FV = $1,075, PMT = $50 CPT YTC = 660 2 = 132% where N is the ve-year call period multiplied by 2 (semiannual payments) The yield to call is 132 percent, which is greater than the yield to maturity (1126 percent) because the bond is selling at a discount, and it takes a greater return to erase the discount sooner; if the bond is selling at a premium, the yield to call is less than the yield to maturity because the premium is spread out over a smaller time horizon 11 Current yield A The current yield considers only the coupon component of bonds It does not include any reinvestment income or price appreciation or depreciation The current yield is Annual coupon payment Price of bond B For example, assume a $1,000 par value bond priced at $950 with a 10 percent semiannual coupon rate The current yield is $100 105% $950 C The current yield is important to investors interested in income Those investors who want high yearly income want bonds with a high current yield 12 After-tax yield A The after-tax yield on a bond issue after paying taxes is computed as pretax yield on an equivalent but fully taxable bond (1 marginal tax rate) B The taxable equivalent yield (TEY) is calculated to determine the yield that must be earned on a taxable bond to equal the same yield for a tax-exempt municipal bond It is calculated as.

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146 - Investment Planning Tax- exempt yield 1 marginal tax rate C Example: Assume a municipal bond yields 43 percent Assume a Treasury security is yielding 67 percent The investor is in the 37 percent tax bracket Which investment should be purchased (1) The tax equivalent yield is (a) 43 (1 037) = 682% (b) Because 682 percent is greater than 67 percent, the investor should choose purchasing the municipal bond because it earns a higher taxable equivalent yield (2) The after-tax yield is (a) 67% (1 037) = 422% (b) 422 percent is less than 43 percent, so the choice again is to purchase the municipal bond The two equations yield the same result 13 Realized compound rate A The realized compound rate on an asset is the actual return based on the present value of future cash ows The realized compound rate is commonly known as the time value of money The equation is Taxable equivalent yield P0(1 + r)n = Pn where P0 is the purchase price of the security, r is the rate of return for the period, n is the number of periods, and Pn is the price at which the security is sold B To nd the rate of return, assume a stock was purchased at $50 and later sold at the end of the fth year at $90 The rate of return is easily solved using a calculator: PV = $50, FV = $90, N = 5 solve for I = 1247% 14 Geometric return A Another way to determine the rate of return over a period of years is to use the geometric average The standard formula for the geometric average is G = [(1 + x1)(1 + x2) (1 + X )]1/x 1 B Calculate the geometric average using the annual rate of returns: Year 1 2 3 4 5 Return 15% 20% 10% 5% 15%.

about one particularly important binding SOAP and understand some of the details involved in using it You can think of SOAP simply as the distributed object communication protocol for the Internet The general idea is to allow programmatic access to remote, Internet-based functionality via HTTP Although our discussion will focus on SOAP as it's deployed over HTTP, SOAP is indeed a higher-application-level protocol and makes sense as deployed over other communication substrates, such as RPC The W3C acknowledgment of SOAP (http://wwww3org/TR/soap) breaks the protocol into three basic parts:

LISTING 5-6

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