A fully discrete 20 - year endowment insurance of $1 is issued to (40). The contract provides for the refund of all net premiums paid accumulated at the interest rate i >0 if the death occurs within 10 years from the inception of the contract. Present values are calculated at the same interest rate i > 0. Using the equivalence principle, the net annual premium payable for 20 years for this policy can be written as A40-201/k. Find k.
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- A rent-to-own agreement allows the renter to either return the merchandise after a specified period of time or apply the monthly payments toward purchasing the item(s) (or clearly, the renter could default on the agreement). A rent-to-own company reports that nationally 61% of the agreements result in the merchandise being returned, 29% of the agreements result in the merchandise being purchased, and the remaining agreements are defaulted on (consumer does not make required payments specified in the contract). At a local rent-to-own company, a sample of 201 agreements finds that 113 result in the merchandise being returned, 76 agreements result in the merchandise being purchased and the remaining agreements are defaulted upon. When testing (at the 5% level of significance) whether the proportions of the local company are different than the proportions nationally, what is the test statistic (please round your answer to 3 decimal places)Ali was asked by his principal, B, to purchase 1000kg of sugar at the price RM1.50 per kg. He purchased 2000kg of sugar at the offered price of RM1.10kg since he believes that this will benefit his principal? Is Ali still B's agent? a)Yes, if his action benefit his principal b)Yes, if the principal ratify his action c)Yes, if he paid for the extra cost incurred d)Yes, if the supplier allows payment by installmentsA loan is to be paid by installments of $800 1-month from now, $600 3-months from now, and $500 4-months from now. Instead of this payment scheme, the borrower wishes to make one single payment 2 months from now. What is the amount of the alternative single payment using a focal date of 3 months and r= 6%?
- Boeing Truck Company received an invoice showing 8 tires at $130 each, 12 tires at $180 each, and 15 tires at $200 each. Shipping terms are FOB shipping point. Freight is $600; trade discount is 10/5; and a cash discount of 4/10, n/30 is offered. Assuming Boeing paid within the discount period, what did Boeing pay?An insurance company issues a special policy to (65) with the following benefits: (i) A death benefit of 100,000, payable at the end of year of death, provided death occurs before age 85. (ii) A whole life annuity-due of 45,000 per year starting on the policyholder’s 85th birthday. You are also given: • Annual level premiums of P are payable for 20 years. • Premiums are determined using the equivalence principle. • Mortality follows the Standard Ultimate Life Table. • i = 0.05. Calculate P. A. 7670 B. 7870 C. 8070 D. 8270 E. 8470To accommodate instances where you do not wish to purchase a “meal”, but would still like something to eat or drink, the College offers $150 of “Flex Dollars” included in each meal plan package. This “flexible money” may be used just like cash for any item sold in the Gordon Café, Mawhinney Café, Starbucks or Fresh Express. Week Balance on Loralee’s ID Card 0 $150.00 1 $146.75 2 $142.75 3 $139.00 4 $134.00 5 $130.25 6 $126.25 7 $122.25 8 $118.50 9 $114.50 10 $110.00 11 $106.50 12 $101.50 13 $97.00 14 $93.25 Let M be the amount of money left on the card, t weeks after the beginning of the fall semester. Enter a linear equation to model the data. Use Week 0 and Week 14 to calculate the slope. Round your slope to 2 decimal places.
- Please give conditions on a and b clearly in part 3, thank you.an auto dealership that a new car sticker price 34,128 is on sale for $25,995 if payment is made in full, or it can be financed at 0% interest for 72 months with a monthly payment of $474. mote that 72 payments x $474 per payments = 34,128, which is the sticker price of the car. by allowing you to pay for the car in series of payments ( starting one month from now) rather than 24,995 now, the dealer is effectively loaning you 25,995. If you choose the 0% financing option, what is the effective interest rate that the auto dealership is earning on your loan? ( hint: discount the payments back to current dollars, and use goal seek to find the discount rate that makes the net present value of the payments = $25,995) Enter your answer as a percentage. If required, round your answer to one decimal digitBoeing Truck Company received an invoice showing 8 tires at $115 each, 15 tires at $166 each, and 15 tires at $193 each. Shipping terms are FOB shipping point. Freight is $422; trade discount is 10/2; and a cash discount of 4/10, n/30 is offered. Assuming Boeing paid within the discount period, what did Boeing pay? Payable amount:
- A wife and mother was killed in a vehicle accident and her family has been been given 3 proposals and they need to accept one. Proposal 1.) Pay the family of Allison Boone $300,000 a year for the next 20 years, and $500,000 a year for the remaining 20 years. Proposal 2.) Pay the family a lump sum payment of $5 million today. Propsoal 3.) Pay the family of Allison Boone a relatively small amount of $50,000 a year for the next 40 years but also guarantee them a final payment of $75 million at the end of 40 years. Anwser the following questions! 1.) Assume a discount rate of 6 percent is used, which of the three projects has the highest present value? In analyzing the first proposal, take the present value of the 20 year $300,000 annuity. Then take the present value of the deferred annuity of $500,000 that will run from the 21st through the 40th year. The answer you get for the second annuity will represent the value at the beginning of the 21st year (the same as the end of…1. Stan is a real estate salesperson. He receives 60% of the 4.8% commission that the real estate agency charges on sales. If his sales for the past year were $5,225,000, what was the dollar value of his commission? 2. The maximum amount an individual can contribute to her Registered Retirement Savings Plan (RRSP) for a year is set from time to time by the Regulations of the Income Tax Act. For the year 2020, the maximum contribution is the lesser of $27,230 or 18% of the individual’s “earned income” during 2019. What is the maximum RRSP amount that can be contributed in 2020 based on an income of $128,500 in 2019?The product team of KAF Takaful Berhad is proposing to introduce a service-basedP2P micro takaful plan for a $10,000 death benefit (khairat). Each participant whosubscribes to this plan will pay an advance contribution of which 20% will be paidto KAF as an administration fee. The remaining amount will then be channelled tothe participant’s mutual account. If any death occurs the khairat benefit will be paidequally by existing participants through deductions from their mutual account. Howwould you appraise this proposal from a Shariah point of view?