10. You are given:i) The annual benefit premium for a fully continuous 20- year endowmentinsurance of 1000 on (55) is 15.ii) The annual benefit premium for a fully continuous 5 -year endowmentinsurance of 1000 on (70) is 121.iii) d=0.09Calculate the 15th terminal benefit reserve on the 20- year endowment in-surance.

Annual Benefit for a fully continuous 20 year endowment insurance of 1000 on (55) = 15 Annual…

Answered: 10. You are given: i) The annual…

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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The APR for loans can also be approximated (however, not within the 1 4 of 1% accuracy required by Regulation Z†) by using the following formula: APR = 2mI P(n + 1) where m = the number of payment periods per year I = the interest (or finance charge) P = the principal (amount financed) n = the number of periodic payments to be made. Thus, if m = 12, I = $264, P = $1200 and n = 30, APR = 2mI P(n + 1) = 2 × 12 × 264 1200 × 31 = 17%. Use the APR formula to find the APR to one decimal place. (Assume m = 12.) AmountFinanced FinanceCharge Number ofPayments $4000 $332 12 %State the difference between the answer obtained by the formula and the answer obtained using the True Annual Interest Rate (APR) table. (Round your answer to one decimal place.) %
Straight-line DepreciationBook value is the value of an asset that a company uses to create its balance sheet.Some companies depreciate their assets using straight-line depreciation so that thevalue of the asset declines by a fixed amount each year. The amount of the declinedepends on the useful life that the company assigns to the asset. Suppose that acompany just purchased a fleet of new cars for its sales force at a cost of $31,500 percar. The company chooses to depreciate each vehicle using the straight-line methodover 7 years. This means that each car will depreciate by +31,500 7 = +4500 per year.(a) Write a linear function that expresses the book value V of each car as a functionof its age, x.(b) Graph the linear function.(c) What is the book value of each car after 3 years?(d) Interpret the slope.(e) When will the book value of each car be $9000?[Hint: Solve the equation V1x2 = 9000.]
An annuity is known as a fixed-term pension and gives a person a guaranteed income for a number of years in future. A person can use his/her savings to buy an annuity from a superannuation fund or life insurance company. S We consider an annuity of a $25,000 for n = 10 years in future, and the present value of the 10-year annuity scheme is p(r) = (¹ - (,)"). wherer is the discount rate. (1) Calculate the present value p(r) when r = 1.25%. (2) Use the following first-order approximation to approximate the present value if the discount rate is increased by 0.25% (that means the discount rate is now 1.5%): p(r) p(ro) + p'(ro) x (r-ro). where r= 1.5% and ro 1.25%. Sel
Suppose that $2000 is invested at a rate of 3%, compounded quarterly. Assuming that no withdrawals are made, find the total amount after 5 years. Do not round any intermediate computations, and round your answer to the nearest cent. I Don't Know Sulmit © 2021 McGraw Hill LLC. All Rights Reserved. Terms of Use | F NOV 11 étv MacBook Air
Mr. Tan call his resident wife and deposited P100,000 to their joint account and the P100,000 is to be invested in the cooperative. The time deposit on bank is a 5 year term with interest rate at 7% while the other deposit to the cooperative is 1 year time deposit at 5% interest rate. (1) Compute for the interest earned after maturity date on the deposits (2) Compute for the final tax rate for the deposits. (3) Suppose that the time deposit in the bank was pre-terminated at year (4) what is the final tax rate?
*2.2.18 Find the present value at time 0 of an n-year continuous annuity based on force of interest &, p+7 S 1+rest
The annuity will run out of funds after approximately 13 years 10 months. (b) Show that a continuous annuity with withdrawal rate N = $5000/year and interest rate r = 8%, funded by an initial deposit of P0 = $75,000, never runs out of money.
2. (2 pts) At an effective annual interest rate i, you are given: (a) the present value of an annuity-immediate with annual payments of 1 for n years is 40; and (b) the present value of an annuity-immediate with annual payments of 1 for 3n years is 70. Calculate the accumulated value of an annuity-immediate with annual payments of 1 for 2n years. Solution:
Suppose you start saving for retirement when you are 35years old. You invest $5,000the first year and increase this amount by 2%each year to match inflation. How much money will you have saved after 20years if the interest rate earned on the retirement account is 7% per year? a) you will have saved $ ( Round to nearest dollar) b) on the other hand you will have saved $ if the rate of increase of the investment drop was 7% instead of the original 2%

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