Alex Moore is 43 years old and has accumulated $78,000 in his self-directed defined contribution pension plan. Each year he contributes $1.500 to the plan, andhis employer contributes an equal amount. Alex thinks he will retire at age 60 and figures he will live to age 83. The plan allows for two types of Investments. Oneoffers a 4% risk-free real rate of return. The other offers an expected return of 10% and has a standard deviation of 34%. Alex now has 40% of his money in the riskfree investment and 60% in the risky investment. He plans to continue saving at the same rate and keep the same proportions invested in each of the investmentsHis salary will grow at the same rate as inflationHow much can Alex expect to have in his risky account at retirement?Multiple Choice$158.982$309,530$543781$224,651

Given thatCurrent age = 43Current accumulated balance of the retirement plan = $78,000Annual…

Answered: Alex Moore is 43 years old and has…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A company is considering introducing a new product, which will require buying new equipment for a fixed monthly payment of $5,000. The product can be sold for $20.00 each. Irvin incurs a variable cost of $10.00 per unit. The company intends to sell 100 units of the new product next month and they would like to realize a monthly profit of $5000. The company will realize the expected profit at the current selling price. True or False
There is a 0.9991 probability that a randomly selected 33-year-old male lives through the year. A life insurance company charges $166 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $100,000 as a death benefit. Complete parts (a) through (c) below. a. From the perspective of the 33-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving? The value corresponding to surviving the year is $ The value corresponding to not surviving the year is $ (Type integers or decimals. Do not round.) b. If the 33-year-old male purchases the policy, what is his expected value? The expected value is $ (Round to the nearest cent as needed.) c. Can the insurance company expect to make a profit from many such policies? Why? because the insurance company expects to make an average profit of $ on every 33-year-old male it insures for 1 year. (Round to the nearest cent as needed.)
A proposed project has the following cash flow estimates.Assuming statistically independent cash flows, a normally distributed net present value, and a minimum attractive rate of return of 15%, determine the following. For the following questions, employ an analytical solution: a. the mean and standard deviation of net present value. b. the probability that the net present value is negative. c. the probability that the net present value is greater than $1,000,000. Assume the initial investment and annual receipts are normally distributed. d. Using a Monte Carlo simulation with 10,000 iterations, estimate the probability that the present worth is negative.
The following table lists several corporate bonds issued during the second quarter of 2015. Company AT&T Bank of America General Electric Goldman Sachs Verizon Wells Fargo Time to Maturity (years) 10 10 2 8 7 Annual 3.40 4.00 5.25 6.15 5.15 3.50 Rate (%) If you spent $30,000 on AT&T bonds, how much interest would you earn every 6 months? HINT [See Example 3.] $ How much interest would you earn over the life of the bonds?
There is a 0.9986 probability that a randomly selected 27-year-old male lives through the year. A life insurance company charges $157 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $80,000 as a death benefit. Complete parts (a) through (c) below. a. From the perspective of the 27-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving? The value corresponding to surviving the year is $nothing. The value corresponding to not surviving the year is $nothing. (Type integers or decimals. Do not round.) b. If the 27-year-old male purchases the policy, what is his expected value? The expected value is $nothing. (Round to the nearest cent as needed.) c. Can the insurance company expect to make a profit from many such policies? Why? because the insurance company expects to make an average profit of $nothing on every 27-year-old male it…
The following table lists several corporate bonds issued during the second quarter of 2015. Company AT&T Bank of America General Electric Goldman Sachs Verizon Wells Fargo Time to Maturity (years) 10 10 3 8 7 Annual 3.40 4.00 5.25 6.15 5.15 3.50 Rate (%) If you spent $20,000 on AT&T bonds, how much interest would you earn every 6 months? HINT [See Example 3.] $ How much interest would you earn over the life of the bonds? $ %24
The following table lists several corporate bonds issued during the second quarter of 2015. Company AT&T Bank of America General Electric Goldman Sachs Verizon Wells Fargo Time toMaturity(years) 10 10 2 3 8 7 AnnualRate (%) 3.40 4.00 5.25 6.15 5.15 3.50 If you spent $70,000 on Bank of America bonds, how much interest would you earn every 6 months? HINT [See Example 3.] $ How much interest would you earn over the life of the bonds?
3. You are an excellent investor and have averaged a 12% rate of return over the last 20 years. Over the same time period, inflation has averaged 3.2%. What is the real rate of return you have earned on your investments?
A certificate of deposit (CD) is similar to a savings account, but deposits are generally held to maturity. They usually offer higher rates than savings accounts because they "tie up" money for a period of time and often require a minimum deposit. A 3-year CD at a certain bank has a nominal rate of 2.085%, and an effective annual yield of 2.100%. If $800 is deposited with this bank, how much will be in the account at the end of the 3 years?

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