On the Valuation of Policies subject to Half-yearly and Quarterly Premiums

1882 ◽  
Vol 23 (4) ◽  
pp. 256-265
Author(s):  
Thos. B. Sprague ◽  
George King
Keyword(s):  
Technical Detail ◽  
Current Policy ◽  
Present Value ◽  
Extra Charge ◽  
Image Position ◽  
The Cost ◽  
Annual Premium

We will now state, with the necessary technical detail, our reasons for the opinion we have already expressed, that it is not permissible to add to the assets, or otherwise bring into the valuation as a credit, the present value of the extra charge made upon half-yearly and quarterly premiums in excess of the aliquot part of an annual premium. This extra charge is made for three different purposes, (1) to cover the cost and trouble of collecting premiums at frequent intervals; (2) to make good the loss of interest on the portion of the premium which is not paid at the beginning of the year; and (3) when the half-yearly or quarterly payments are really premiums, and not instalments of yearly premiums, to compensate for the loss of premium which will occur in some cases through the life assured dying before the full year's premium for the current policy-year has been paid. The proper amount of the extra to be charged for (2) and (3) is easily determined. Since the value of an annuity payable in advance is 1 + a, ¾ + a, or ⅝ + a, according as it is payable yearly, half-yearly, or quarterly, the total yearly net premium for the age x isaccording as it is payable yearly, half-yearly, or quarterly.

scholarly journals A Scorecard to Detect Financial Leverage Profitability

2018 ◽  
Vol 13 (3) ◽  
pp. 244
Author(s):  
Laura Broccardo ◽  
Luisa Tibiletti ◽  
Pertti Vilpas
Keyword(s):  
Net Present Value ◽  
Economic Value ◽  
Weighted Average ◽  
Cost Of Debt ◽  
Corporate Management ◽  
External Financing ◽  
Present Value ◽  
Financial Decisions ◽  
Proposed Model ◽  
The Cost

This study investigates how balancing internal and external financing sources can create economic value. We set a financial scorecard, consisting of the Cost of Debt (COD), Return on Investment (ROI), and the Cost of Equity (COE). We show that COE should be a cap for COD and a floor for ROI in order to increase the Net Present Value at Weighted Average Cost of Capital and the Adjusted Present Value of the levered investment. However, leverage should be carefully monitored if COD and ROI go off the grid. Situations where leverage has the opposite effect on value creation and the Equity Internal Rate of Return are also discussed. Illustrative examples are given. The proposed model aims to help corporate management in financial decisions.

scholarly journals Reserves of Motor-Vehicle Insurance in Finland

1962 ◽  
Vol 2 (1) ◽  
pp. 161-173 ◽  
Author(s):  
Teivo Pentikäinen
Keyword(s):  
Motor Vehicle ◽  
Insurance Companies ◽  
Accurate Calculation ◽  
Short Term ◽  
The Subject ◽  
Image Position ◽  
Premium Income ◽  
The Cost ◽  
Motor Vehicle Insurance ◽  
Cluster Points

The Ministry of Social Affairs, which acts i.a. as the supervising office in Finland, has given instructions regarding the normal reserves of insurance companies. A summary of these and some comments are given here as far as they concern motor-vehicle insurance. The instructions as far as they concern the subject referred to in the following in the items 2-6, 9 and 10, were compiled by a committee, presided over by Mr. I. Ketola, M. Sc, which availed itself of the experience of several Finnish insurance companies.In order to give a review of the system as a whole many items, which are mathematically trivial and well-known, are briefly explained.The conventional principle of “pro rata parte temporis” is followed, which leads to the well-known reserve where P is the premium income of the company. This provides that the days when the premiums fall due are approximately equally distributed over the year (which can be checked from the premium sums of the different months in the book-keeping) or at least have no cluster points in the second half of the year and that the cost of the collecting of premiums is not less than 0.2 P. A more accurate calculation takes into account i.a. temporary short term policies etc.In casu-reserve. All unpaid claims (except those mentioned later) due to accidents which occured before the end of the account year, are listed and rated one by one. Doubtful cases, e.g. where the cause of the accident is still under litigation, are calculated in accordance with the “worst” alternative.

scholarly journals Studi Kelayakan Ekonomis Rencana Pembangunan Pelabuhan Sungai Liong Desa Berancah Kabupaten Bengkalis

2019 ◽  
Vol 3 (2) ◽  
pp. 146
Author(s):  
Nur Rahmani ◽  
Akmal Lazuardy
Keyword(s):  
Net Present Value ◽  
Payback Period ◽  
Economic Feasibility ◽  
Rate Of Return ◽  
Cost Ratio ◽  
Internal Rate Of Return ◽  
Benefit Analysis ◽  
Present Value ◽  
The Government ◽  
The Cost

The fish shelter port (TPI) is a need that needs to be prepared by local village officials and the government for every coastal village in Bengkalis Regency. This research was conducted in the Berancah village of Bantan District. The analysis in this study describes the economic feasibility mathematically for the construction of a fish storage port (TPI) by calculating the cost ratio (B / C ratio) benefit analysis, payback period (PP), net present value (NPV), and internal rate of return ( IRR). The results obtained from the NPV value (3,661,267,645), BCR value (0.943), IRR value of 10.01%, and PP are in the period of 30 years. Taken as a whole by standardizing the calculations, it can be concluded that the planned construction of a fish shelter in Berancah village is considered not economically feasible, but economic analysis is not merely a benchmark for feasibility, reviewed for the future many benefits will be received by the community around the location of the development plan so that it can improve the welfare of the community in Berancah village.

scholarly journals Reinvestment Bias When Analyzing Mutually Exclusive Assets

2011 ◽  
Vol 2 (3) ◽  
pp. 71
Author(s):  
Robert J. Sweeney
Keyword(s):  
Net Present Value ◽  
Capital Budgeting ◽  
Cash Flows ◽  
Rate Of Return ◽  
Internal Rate Of Return ◽  
Present Value ◽  
Internal Rate ◽  
Current Period ◽  
The Cost ◽  
Flows Over Time

Capital budgeting decisions generally involve the commitment of resources in the current period to secure positive cash flows over time that generate a rate of return in excess of the cost of the funds invested. The most common techniques used to perform this analysis are the Net Present Value (NPV) and the Internal Rate of Return (IRR).Conceptually, these two techniques are substitutable; i.e. the resulting decision from a NPV analysis is identical to the decision from an IRR analysis. In practice, however, the NPV and the IRR can, on occasion, produce conflicting decisions. Specifically, when analyzing mutually exclusive assets the Net Present Value can support one asset while the Internal Rate of Return supports the other. The purpose of this paper is twofold; first, to highlight structural deficiencies in the conventional application of the NPV and the IRR, and second, to demonstrate a procedure to correct for these structural errors.

Creating continuous areas of old forest in long-term forest planning

2000 ◽  
Vol 30 (11) ◽  
pp. 1817-1823 ◽  
Author(s):  
Karin Öhman
Keyword(s):  
Net Present Value ◽  
Problem Formulation ◽  
Core Area ◽  
Northern Sweden ◽  
Present Value ◽  
The Core ◽  
Long Range Planning ◽  
The Cost

Harvest activities tend often to create landscapes where the old forest is fragmented into isolated patches that provide marginal conditions for species that inhabit forest interiors. This paper presents a long-range planning model designed to maximize the net present value and to create continuous patches of old forest. In this model, the spatial structure of old forest is controlled by core area and edge habitats. Core area is defined as the area of old forest that is free of edge effects from surrounding habitats. The core area requirement is set to a fixed value for each of a number of time periods, whereas the area of edge habitats, which should be as small as possible, is weighted against the net present value. The model is applied in a case study to an actual landscape consisting of 755 stands of forest in northern Sweden and solved using simulated annealing. The results show that distinct continuous patches of old forest are created when both a core area requirement and consideration of the amount of edge habitats are included in the problem formulation. The cost of creating continuous areas of old forest was found to be significant.

An Extremum Result

1962 ◽  
Vol 14 ◽  
pp. 597-601 ◽  
Author(s):  
J. Kiefer
Keyword(s):  
Probability Measure ◽  
Compact Space ◽  
Ad Hoc ◽  
Continuous Functions ◽  
Orthogonality Condition ◽  
Technical Detail ◽  
Real Numbers ◽  
Discrete Probability ◽  
Linearly Independent ◽  
Image Position

The main object of this paper is to prove the following:Theorem. Let f1, … ,fk be linearly independent continuous functions on a compact space. Then for 1 ≤ s ≤ k there exist real numbers aij, 1 ≤ i ≤ s, 1 ≤ j ≤ k, with {aij, 1 ≤ i, j ≤ s} n-singular, and a discrete probability measure ε*on, such that(a) the functions gi = Σj=1kaijfj 1 ≤ i ≤ s, are orthonormal (ε*) to the fj for s < j ≤ k;(b)The result in the case s = k was first proved in (2). The result when s < k, which because of the orthogonality condition of (a) is more general than that when s = k, was proved in (1) under a restriction which will be discussed in § 3. The present proof does not require this ad hoc restriction, and is more direct in approach than the method of (2) (although involving as much technical detail as the latter in the case when the latter applies).

scholarly journals VIABILIDADE ECONÔMICA DA PRODUÇÃO DE CARVÃO VEGETAL EM DOIS SISTEMAS PRODUTIVOS

FLORESTA ◽  
2014 ◽  
Vol 44 (1) ◽  
pp. 143 ◽  
Author(s):  
Aylson Costa Oliveira ◽  
Thiago Taglialegna Salles ◽  
Bárbara Luísa Corradi Pereira ◽  
Angélica De Cássia Oliveira Carneiro ◽  
Camila Soares Braga ◽  
...  
Keyword(s):  
Economic Analysis ◽  
Net Present Value ◽  
Production Systems ◽  
Planning Horizon ◽  
Economic Viability ◽  
Present Value ◽  
Charcoal Production ◽  
Average Annual Production ◽  
The Cost ◽  
Benefit Cost

O objetivo deste trabalho foi analisar a viabilidade econômica da produção de carvão vegetal em dois sistemas produtivos: oito fornos de superfície acoplados a uma fornalha para queima de gases e dez fornos do tipo “rabo-quente” sem sistema de queima de gases. Para análise econômica, definiu-se uma produção anual média igual a 1.571 metros cúbicos de carvão (mdc) e horizonte de planejamento de 12 anos, sendo propostos 2 cenários. No primeiro cenário, após a colheita da madeira, realiza-se o plantio de uma nova floresta, permanecendo o custo da madeira constante em todo o planejamento; no segundo cenário, após a colheita, considerou-se a condução da brotação, reduzindo os custos na 2ª rotação e consequentemente os custos da madeira. A análise econômica foi realizada através da determinação dos seguintes indicadores: Valor Presente Líquido (VPL), Valor Anual Equivalente (VAE), Razão Benefício/Custo (B/C) e Lucratividade. Os indicadores calculados demonstraram a viabilidade dos dois sistemas produtivos avaliados em ambos os cenários propostos, porém o sistema fornos-fornalha apresentou melhores valores para os indicadores. Conclui-se que a produção de carvão vegetal nos sistemas avaliados foram viáveis economicamente, com o sistema fornos-fornalha gerando maior lucro ao produtor de carvão.Palavras-chave: Fornos de alvenaria; análise determinística; valor presente líquido. Abstract Economic viability of charcoal production in two production systems. The objective of this study was to analyze the economic viability of charcoal production in two conversion technologies: eight surface kilns coupled to a furnace for burning gases (kilns-furnace system) and ten "rabo-quente" or traditional charcoal kilns without burning gases system. An average annual production of 1571 cubic meters of charcoal (mdc) was used to perform the economic analysis. A planning horizon of 12 years and two scenarios were proposed. In the first scenario, after harvesting the wood, the planting of a new forest was performed, and the cost of wood remained constant throughout the planning horizon. In the second scenario, after the harvest, the conduction of shooting was considered, which reduced costs in the second rotation and consequently the cost of wood. The economic analysis was performed by determining the following indicators: Net Present Value (NPV), Equivalent Annual Value (EAV) and Benefit - Cost Reason (B/C). Calculated indicators demonstrated the viability of producing charcoal in the two production systems in both scenarios proposed, but kilns-furnace system presented better values. As conclusion, production of charcoal in the evaluated systems were economically viable. Kilns-furnace system was able to generate more profit to charcoal producer.Keywords: Kilns; deterministic analysis; net present value.

scholarly journals Evaluation of the Cost-Effectiveness of the Installation of Heat-Cost Allocators in Multifamily Buildings in Croatia

Energies ◽  
2019 ◽  
Vol 12 (3) ◽  
pp. 507 ◽  
Author(s):  
Sunčana Slijepčević ◽  
Davor Mikulić ◽  
Kristijan Horvat
Keyword(s):  
Energy Consumption ◽  
Cost Effectiveness ◽  
Net Present Value ◽  
Energy Savings ◽  
Heat Energy ◽  
Energy Prices ◽  
Present Value ◽  
Improve Energy Efficiency ◽  
Before And After ◽  
The Cost

In order to improve energy efficiency, the Croatian government introduced an individual metering obligation for all district heat network users. The purpose of the research was to evaluate this policy measure regarding its effects on tenants’ behavior and energy savings, but also from the perspective of cost-effectiveness. The sample includes approximately 20% of all Croatian users of district heat energy. Energy savings related to the installation of heat cost allocators are calculated by comparing the specific heat energy consumption, corrected for the number of heating degree days, in periods before and after the installation of the heat cost allocators. The cost-effectiveness assessment is based on the concept of the net present value. The transition to individual metering in Croatia resulted in significant energy savings averaged from 20 to 35%. However, low heat energy prices in cities with a dominant share of heat energy consumption did not ensure a positive net present value of investment for all buildings.

scholarly journals Factoring a group as an amalgamated free product

1973 ◽  
Vol 15 (2) ◽  
pp. 222-227 ◽  
Author(s):  
Edward T. Ordman
Keyword(s):  
Free Product ◽  
Proper Subgroup ◽  
Amalgamated Free Product ◽  
Image Position ◽  
The Cost

Even if in a decomposition of a group the Ai are completely indecomposable, there may be another decomposition with each Cj properly contained in some Ai a proper subgroup of B. The example of Bryce ([1], p. 636) may be modified, at the cost of having one Ai = B, so that I = J and Ci > Ai for all i. It is our object to study this relationship between decompositions of a group.

A deterministic inventory model in reverse supply chain

2019 ◽  
Vol 15 (1) ◽  
pp. 318-338 ◽  
Author(s):  
Sasmita Mohapatra ◽  
Ajay Kumar Behera ◽  
Rabindra Mahapatra ◽  
Harish Das
Keyword(s):  
Design Methodology ◽  
Current Model ◽  
Environmental Damage ◽  
Reverse Supply Chain ◽  
Retail Outlet ◽  
Present Value ◽  
Content Type ◽  
Unique Model ◽  
The Cost ◽  
The Mathematical Model

Purpose The purpose of this paper is to present a unique model for the production–recycling–reuse of aluminium refreshment cans. It is presumed that disposed-off 250-ml aluminium cans are collected from the retail outlet. The cans are thereafter arranged into non-tainted and tainted categories. Design/methodology/approach The current model considers all the factors, i.e. producing, recycling and remanufacturing, whereas the previous models provide emphasis only one factor. Six procedures were considered in the improvement of the mathematical model. Findings In this paper, a recycling–reuse model that remanufactures non-tainted aluminium beverage cans and uses regrind from damaged non-tainted aluminium beverage cans mixed with parent aluminium material in the production of new cans was developed and analysed to reduce the amount of aluminium beverage cans that are disposed off in a scrapyard. The model is assumed to have no shortcomings, and the different percentages regarding the classes of cans are taken to be deterministic. Originality/value The model incorporates several unique aspects, including accounting for the cost of land use and associated environmental damage through the calculation of a present value that is charged to the manufacturer.

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