Problem>] For a fully discrete whole life insurance of 1 on (r), you are given:(i) The net premium reserve at the end of the first year is 0.012.(ii) qz = 0.009(iii) i = 0.04Calculate är.

Given, Assurance type: Fully discrete whole life insurance Net premium reserve at the end of the…

Answered: Problem >] For a fully discrete whole…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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IVP: Initial-Value-Problem
An interest rate of 15% is used to evaluate a new system that has a first cost of $212,400, annual operating and maintenance costs of $41,200, annual savings of $94,600, a life of 6 years, and a salvage value of $32,500. After initial evaluation, the firm receives word from the vendor that the first cost is 5% higher than originally quoted. The percentage error in the system's present worth from this is closest to what value?
Suppose stock A is priced at $30/share and the company will pay a dividend of $0.30/share after two months. An investor purchases 100 shares of A and invests all dividends received at a continuosuly compunded risk-free rate of 5%. After 3 months the stock is sold when the price is $35.40/share. Calculate the 3-month profit.
Two pumps capable of delivering 100 hp to an agricultural application are being evaluated in a present economy study. The selected pump will only be utilized for one year, and it will have no market value at the end of the year. Pertinent data are summarized as given follows. If electric power costs $0.10 per kWh and the pump will be operated 4,000 hours per year, which pump should be chosen? Recall that 1 hp = 0.746 kW.
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Consider the following initial-value problem.
f(x) from initial value problem
A company is considering a new manufacturing process in one of its plants. The new process provides substantial initial savings, with the savings declining with time x according to the rate-of-savings function S'(x)=200-x^2 where x is measured in years and S′(x) in thousands of dollars per year. At the same time, the cost of operating the new process increases with time x according to the rate-of-cost function (in thousands of dollars per year) C'(x)=0.3x^2+20/3x a. to maximize savings, for how many years should the company use the new process? b. Use Desmos to check your answer from part (a): Build up a graph and shade the appropriate area that corresponds to the maximum savings. c. What is the net savings 8 years after the process has been implemented? 12 years after? d. Use Desmos to check your answer from part (c): Build up a graph and shade the appropriate area that corresponds to the maximum savings.
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With data from the Social Security Trustees Report for selected years from 1950 and projected to 2030, the number of Social Security beneficiaries (in millions) can be modeled by B(t) = 0.00024t3 − 0.026t2 + 1.6t + 2.2

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Problem >] For a fully discrete whole life insurance of 1 on (x), you are given: (i) The net premium reserve at the end of the first year is 0.012. (ii) qz = 0.009 (iii) i = 0.04 Calculate är.