For a special fully discrete whole life insurance on (x), you are given: The death...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
For a special fully discrete whole life insurance on (x), you are given: • The death benefit, db, is payable at the end of the year of death: i. ii. iii. dbt • The benefit premiums are: a b c ,t = 1,...,20 t = 21,21,...,30 ,t = 31,32... avqx+t t= 0,1,...,19 IL ,t = 20,21,...,29 cvqx+t t = 30,31, ... Determine 7 in terms of the standard actuarial notation so that the E[L] = 0. Draw the timeline and express the benefit reserve, V at the point k = 10, k = 20 and k = 30 in algebraic terms. Express the tenth-year terminal prospective loss in algebraic terms if the policyholder dies in the 27th year. (15 marks) For a special fully discrete whole life insurance on (x), you are given: • The death benefit, db, is payable at the end of the year of death: i. ii. iii. dbt • The benefit premiums are: a b c ,t = 1,...,20 t = 21,21,...,30 ,t = 31,32... avqx+t t= 0,1,...,19 IL ,t = 20,21,...,29 cvqx+t t = 30,31, ... Determine 7 in terms of the standard actuarial notation so that the E[L] = 0. Draw the timeline and express the benefit reserve, V at the point k = 10, k = 20 and k = 30 in algebraic terms. Express the tenth-year terminal prospective loss in algebraic terms if the policyholder dies in the 27th year. (15 marks)
Expert Answer:
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
Students also viewed these mathematics questions
-
For a special fully discrete whole life insurance on (65): i. The death benefit is 1000 is death occurs before age 85, otherwise 2000. i. Mortality follows the Standard Ultimate Life Table. i....
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
For a special fully discrete life insurance on (45), (i) The benefit is 1000 if death occurs before age 65, 500 otherwise. (ii) Premiums are payable at the beginning of the first 20 years only. (iii)...
-
A rectangular plate lying on the xy plane has sides 2 in the x direction and in the y direction, thickness h in direction z, and is made of a material with Young's modulus E, Poisson's ratio v, and...
-
1. What is Johnsons most pressing problem? Why? 2. What can Johnson do to help her team launch the new product within the six-week timeframe? Be specific? 3. Assume Johnson will select a new team to...
-
The difference of any two counting numbers will be a counting number. Find a counterexample to show that each statement is incorrect.
-
Why are companies increasingly interested in enterprise search tools capable of handling unstructured data?
-
Billabong Tech uses the internal rate of return (IRR) to select projects. Calculate the IRR for each of the following projects and recommend the best project based on this measure. Project T-Shirt...
-
Use Table 13.1 to estimate the pressure in atmospheres (atm) at the deepest ocean trench. How many atmospheres is this? Table 1 Some Typical Pressures Location The center of Earth Pressure (kPa) 4x10...
-
The acquisition cost of a bus is $100,000. The trend in operating costs can be given by the equation $/km 0.5 + 5 x 10-6 d where d is the number of kilometers traveled from new. A bus travels an...
-
Provide all the steps to get Vf of A from the equation MADOA MAULA (cos 65) + UfA= DOA cos 65+ sin 65 tan 37 | 52] MAUIA (sin 65%) sin 37 +6.97 m/s sin 65 lan 37 cos 65+(- = (cos 37) 4.29 m/s
-
Approximate the area under the curve in Figure 18.7 using \[A_{1}+A_{2}\] Figure 18. 7 1.2 1.0 0.8 0.6 0.4 0.2 y y=x (1, 1) 0.2 0.4 0.6 0.8 1.0 x
-
Find the derivative, \(f^{\prime}(x)\), of each of the functions in Problems 37-42 by using the derivative definition or the derivative of the exponential function. \(f(x)=e^{1.2 x}\)
-
The cost, \(C\), in dollars, for producing \(x\) items is given by \[C(x)=30 x^{2}-100 x\] Find the average rate of change of cost as \(x\) increases from 100 to 200 items.
-
Approximate the area under the curve in Figure 18.7 using \[A_{1}+A_{2}+A_{3}+A_{4}\] Figure 18. 7 1.2 1.0 0.8 0.6 0.4 0.2 y y=x (1, 1) 0.2 0.4 0.6 0.8 1.0 x
-
Estimate the area in each figure shown in Problems 39-46. y 20 16 12 0 + 8 4 0.5 -4 -8 2 3 x
-
Given the following data: Criterion Parking Localization Permitlogia work Weight 50 70 20 60 Score San juan 5 6 8 4 Using the Additive Scoring method and selecting the location 2. Given the...
-
Calculate Total Contribution Margin for the same items. Total Revenue Total Variable Costs Total Contribution Margin $50.00 a. $116.00 $329.70 b. $275.00 $14,796.00 $7,440.00 c. $40,931.25 d....
-
Fisafolia Corporation has gross income from operations of $220,000 and operating expenses of $160,000 for 2012. The corporation also has $20,000 in dividends from publicly traded domestic...
-
Calculate the amount of the child and dependent care credit allowed for 2012 in each of the following cases, assuming the taxpayers had no income other than the stated amounts. a. William and Carla...
-
Amy is a calendar-year taxpayer reporting on the cash basis. Please indicate how she should treat the following items for 2012: a. She makes a deductible contribution to an IRA on April 15,...
-
Find a single equivalent damping constant for the following cases: a. When three dampers are parallel. b. When three dampers are in series. c. When three dampers are connected to a rigid bar (Fig....
-
Develop an expression for the damping constant of the rotational damper shown in Fig. 1.105 in terms of \(D, d, l, h, \omega\), and \(\mu\), where \(\omega\) denotes the constant angular velocity of...
-
Consider a system of two dampers, with damping constants \(c_{1}\) and \(c_{2}\), arranged in parallel as shown in Fig. 1.104. The rigid bar to which the two dampers are connected remains horizontal...
Study smarter with the SolutionInn App