Susan has a choice between two perpetuities payable at the beginning of every month. The first pays $100 today and increases by 1% every month. The second pays $100 today and increases by $X every month. These two annuities are equally valuable at i= 20%. Find X.
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- Smith has 100000 with which she buys a perpetuity on january 1,2005.Suppose that i=0.045 and the perpeuity has annual payments begining january 1,2006.The first three payments are 2000 each,the next three payments are 2000(1+r)each,....,increasing forever by a factor of 1+r every three years.What is r ? (Please post with mathematical formulas)find the present value of $175 perpetuity if the interest rate is 6 percent compounded quarterly. payments are at the beginning of the period.You are going to earn ωt = $200,000 when working (age 21 and 60), and thenyou are going to live for the next 20 years with ωt = $0. Find the constant level ofconsumption C during years (21-80) that can be financed by your income (Interestrate is 5%). Find the level of savings St = ωt −C for periods t ≤60 and for t > 60
- II. Find the period of deferral in each of the following deferred annuity problem (one way to find the period of deferral is to count the number of artificial payments) B. Glenn purchased a laptop through the credit cooperative of their company. The cooperative provides an option for a deferred payment. Glenn decided to pay after 4 months of purchase. His monthly payment is computed as P3,500 payable in 12 months. How much is the cash value of the laptop if the interest rate is 8% convertible monthly? (Draw it's cash flow)Explain the term Present Value of Perpetuities?If the interest rate is zero, then $100 to be paid in10 years has a present value that isa. less than $100.b. exactly $100.c. more than $100.d. indeterminate
- Your coin collection contains fifty 1952 silver dollars. If your grandparents purchased them for their face value when they were new, how much will your collection be worth when you retire in 2062, assuming they appreciate at an annual rate of 4.5 percent?When you take your job, you decide to start saving for your retirement. You put $5,000/yr into the co’s plan, which averages 8% interest/yr. Five yrs later, you move to another job and start a new plan. You never get around to merging the funds, if the 1st plan continued to earn interest at the rate of 8%/yr for 35 yrs after you stopped making contributions, how much is the account worth?An investment promises to pay into an account that pays you 6 percent annually, $150 per month for the next twenty-two years. Suppose the first deposit into the account is made one month from today what is the value of the amount which will be in the account at the end of thirty years? Rounded to 2 decimal places. (Answer up to 2 decimal places)
- Mf4. As an employee in the Lottery Commission, your job is to design a new prize. Your idea is to create two grand prize choices: (1) receiving $50,000 at the end of each year beginning in one year for 20 consecutive years, or (2) receiving $500,000 today followed by a one-time payment at the end of 20 years. Using an interest rate of 4%, which of the following comes closest to the amount prize (2) needs to pay at the end of year 20 in order that both prizes to have the same present value? a. $ 114,932 b. $ 235,712 c. $ 393,342 d. $ 440,463 e. $ 326,649Suppose a state lottery prize of $2 million is to be paid in 20 payments of $100,000 each at the end of each of the next 20 years. If money is worth 11%, compounded annually, what is the present value of the prize? (Round your answer to the nearest cent.) $George wants to retire at 65 with $1,000,000 in savings. He plans to deposit a lump sum on his birthday each year. How much will he need to invest each year if he starts saving at 25? 35? 45? Assume an interest rate of 6%