5 Question Let Y be the present value of an 11-year term continuous annuity of $1 per year for an insured aged.x. Let х,п Y be the present value of a whole life continuous annuity of $1 per year for an insured aged.x. Given a constant force of interest, 8, show that: ()]))/(b
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- 6) Two annuities in perpetuity have the same effective annual interest rate. The first annuity pays $40 every 5 years, starting at the end of the 10th year and has present value $100. The second annuity pays $20 at the end of each 3 months, starting at the beginning of the first three months. Find the present value of the second annuity.2) Two annuity dues in perpetuity have a common present value of $2, 000 and a common effective anmual interest rate i. The first anmuity makes payments of $100 at the beginning of every three years and the second makes payments of X at the beginning of every three months. Find X.Ordinary annuity payment. Fill in the missing annuity in the following table for an ordinary annuity stream: Number of Payments or Years 6 21 33 15 Annual Interest Rate 9% 4% 6% 10% Future Value $0.00 $24,000.00 $0.00 $98,433.34 Annuity (Round to the nearest cent.) $ (Round to the nearest cent.) $(Round to the nearest cent.) (Round to the nearest cent.) Present Value $24,000.00 $0.00 $150,000.00 $0.00
- Find the amount needs to be invested if the investors want to receive an annual net income worth 5,400,000 for 7 years. Use the Hoskold's Formula to compute the priceif the money is worth 8% on sinking fund and the yield of interest is 5%. Price =udiasirois1122/Xv7zYW5RnILBBINV2A9egx/unit-4-project-tvm-calculator-pdf?pg=7 -Sign- At will focus on these types of savings plans in this portion of the project. The Savings Plan formula is below: Y =_ APR= A = PMT- n = A = Note: This formula assumes that the payment period and compounding period are the same. For example, monthly payments would indicate monthly compounding. Let's work an example with the savings plan formula and the TVM calculator. Example 3 Suppose that Ruby's employer offers a retirement plan. Ruby decides to invest $350 per month into the account. The interest is compounded monthly. Historically, the account has earned 7% APR. How much will be in his account if she retires in 25 years? Fill out the value for each variable, and put a question mark for the value we need to solve for. PMT= $350 25 0.07 12 $283,525.09 ((1+ APR-1) (APR) PMT= regular payment amount (deposit) Y = number of years APR = annual percentage rate (written as a decimal) n = number of times the…ou decided to go and apply for a credit card at your local financial institution.The Prime rate currently announced on June 1 was 3.25%. You have goodcredit history and a FICO score of 700. The lowest rate that they can offer toindividuals is a 18.99% APR for a credit card that gives cashback on purchasesand rewards. You were offered 21.99% APR for the credit card. How did thelender determine or calculate what rate they should offer you?
- A state lottery gives a winner the choice of receiving the winning amount in equal monthly payments for 20 years or receiving a lump sum equal to the present value of an annuity with future value equal to the winnings. The winner selecting monthly payments will receive $4,000,000/240 = $16,666.67 each month for each million dollars of winnings. (Round your final answers to two decimal places.) (a) Find the present value of an annuity with monthly payments of $16,666.67, at an Interest rate of 5.2% for 20 years, for the winner who wants a lump-sum payment. $ X (b) In order for the lottery to be more profitable, it is decided to pay the winnings in equal monthly payments for 25 years. Find the monthly payments of $4 million in winnings. $ Find the present value of an annuity with those monthly payments at 5.2% for 25 years. $Write the 4 Formulas for Uniform Annuity Series Find F/A Find P/A Find A/P Fina A/F P (Present Value) for PerpetuityFact 21 Eileen has 2.5% of her earnings deposited into her retirement plan. If $150 per month is deposited in the plan, find ner monthly and yearly earnings. 8. Her monthly earnings are $ (Round to the nearest cent as needed.) Her yearly earnings are $ (Round to the nearest cent as needed.) 09 C.SU7 365 https://xlitemprod.pearsoncmg.com/api/v1/print/math
- 13. Darren claims an eatery and needs to decide his normal income over a long- term period. After all expenses were paid, his yearly pay was as per the following: Year Amount = $7,150 1970 1971 7,335 1972 6,520 %3D 1973 6,600 1974 6,600 1975 7,025 1976 7,810 Total for 7 years = $49,040. Find his average yearly income.Show complete solution (please write eligibly) 1. Find the uniform annual amount that is equivalent to a uniform gradient series in which the first year’s payment is $500, the second year’s payment is $600, the third year’s payment is $700, and so on, and there are a total of 22 payments. The annual interest rate is 11%. Round answer to 2 decimal places.Problem 2 Suppose you purchased a house and took a 30 -year mortgage. The mortgage is unusual: you pay yearly, not monthly. The yearly payment is$17,000and the interest rate is4.2%. What is the amount of mortgage you took? (Round to two decimals.) Hint: find the PV of all the payments.