Perpetual debt valuation: the net present value myopia

Would you prefer to receive a fixed rent for a period of 50 years, 75 years or perpetually? Well, if you have chosen the perpetual option, you are absolutely right. However, when considering a mathematical and financial approach, they may all end up roughly the same whenever the Net Present Value (NPV) is approximately identical. It makes common sense to choose the perpetual option even if the NPV exhibits myopia when computing the discount value of a fixed yearly rent. After a certain period, the discount value becomes approximately the same even when adding more yearly fixed rents. Corporations and governments issue perpetual bonds while recognizing these may not represent a very good financing strategy and thus implying that most of these issues are either callable or convertible on the issuer’s request. In approaching the existing perpetual debt related NPV myopia, this paper holds two main goals: firstly, we intend to study the behaviours of perpetual debt yields against other perpetual instruments and, secondly, we consider the financial methods for assessing the value of money before proposing a formula adjustment that might serve to overcome default NPV when evaluating fixed rents in perpetuity.

The mechanical strength of phosphates under friction-induced cross-linking

Purpose: In the present study, we consider mechanical properties of phosphate glasses under high temperatureinduced and under friction-induced cross-linking, which enhance the modulus of elasticity. Design/methodology/approach: Two nanomechanical properties are evaluated, the first parameter is the modulus of elasticity (E) (or Young's modulus) and the second parameter is the hardness (H). Zinc meta-, pyro - and orthophosphates were recognized as amorphous-colloidal nanoparticles were synthesized under laboratory conditions and showed antiwear properties in engine oil. Findings: Young's modulus of the phosphate glasses formed under high temperature was in the 60-89 GPa range. For phosphate tribofilm formed under friction hardness and the Young's modulus were in the range of 2-10 GPa and 40-215 GPa, respectively. The degree of cross-linking during friction is provided by internal pressure of about 600 MPa and temperature close to 1000°C enhancing mechanical properties by factor of 3 (see Fig 1). Research limitations/implications: The addition of iron or aluminum ions to phosphate glasses under high temperature - and friction-induced amorphization of zinc metaphosphate and pyrophosphate tends to provide more cross-linking and mechanically stronger structures. Iron and aluminum (FeO4 or AlO4 units), incorporated into phosphate structure as network formers, contribute to the anion network bonding by converting the P=O bonds into bridging oxygen. Future work should consider on development of new of materials prepared by solgel processes, eg., zinc (II)-silicic acid. Originality/value: This paper analyses the friction pressure-induced and temperature–induced the two factors lead phosphate tribofilm glasses to chemically advanced glass structures, which may enhance the wear inhibition. Adding the coordinating ions alters the pressure at which cross-linking occurs and increases the antiwear properties of the surface material significantly.