Determining Retirement Shortfall Yuan and Alex have 40 years to retirement. They are taking a personal finance course and have calculated their projected retirement income and investment needs. Based on their calculations and taking into account their Social Security and pension incomes, they have a projected shortfall of $6,750.00 per year.
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- 3. You are looking to retire in 35 years and your company has a 401K plan that has a 5.2% annual return. You deposit $400 a month from your paycheck into the account. Calculate the amount of your retirement when you retire.Gail has won a lottery that pays her $100,000 at the end of this year and increases by 15 percent per year thereafter for 30 years. Leon has offered Gail $10,500,000 today in exchange for all the money she will receive. If Gail can get 6 percent interest on her savings, is this a good deal? What is the present value of the lottery winnings?6. Alex invested a certain amount to a business and promised to pay him back with 1.8 times his original investment. They agreed to have it compounded monthly within 9 years. What is the nominal rate of interest r in percent?
- 6. At your first job you take advantage of an employer match program in which your employer will match up to 5% of your salary in a retirement savings plan if you also contribute 5%. Assume that your average salary over 5 years is $75,000, how much will you have saved in five years using a fund that pays 4% annual interest rate. Assume you only did 3% of your salary as retirement plan contribution. How much will you have in the fund, also 4%, after 5 years? Recalculate using a fund that pays 8%.Annuity Suppose that you are thinking of buying a car that yields a rental of $5,000 each year for 3 years and then can be sold for scrap value of $8,000. With an interest rate of 10 percent, how much would we be willing to pay?You are considering taking out a two-year loan of$1,000 from a bank, on which you can pay eithercompound yearly interest of 1 percent or a flat rateof 2 percent for the whole two-year period. Whichoption is a better deal, and why?
- 1. A Bank offers you a 250,000 pesos, 3 years and 6 months term loan at 4. 78 percent annual interest. What will your Monthly loan payment be?2. Pretend that today is your birthday and you decide to start saving for your retirement. You will retire on your 65th birthday and need $4,000 per month for the next 20 years, increasing $100 per month after the first month. You will make your first withdrawal on your 65th birthday, the day you retire. You will make the first deposit today in an account paying 7% interest compounded daily, and continue to make the same $123.07 equal weekly deposits up to your 60th birthday, then you stop making deposits. What birthday are you celebrating today? Create a cash flow diagram.If you deposit $4,800 at the end of each of the next 15 years into an account paying 11.3 percent interest, how much money will you have in the account in 15 years? How much will you have if you make deposits for 30 years?
- 10. Annie buys a television set from a merchant who ask P1250 at the end of 60 days. Annie wishes to pay immediately and the merchant offers to compute the cash price on the assumption that money is worth 8% simple interest. What is the cash price?Find the present and future values of an income stream of 11000 dollars a year for 17 years. The interest rate is 9% compounded continuously. Round your answers to 2 decimal places. Part 1 The present value represents the amount of money you would have to deposit today in order to match what you would get from the income stream at the future date. The formula is Present Value = M S(t)e" dt. Future value represents the total amount of money you would have if you deposit the income stream until a future date. The formula is Future Value - Present Value* erM To start our problem we need to identify the variables. Time = M = i years Rate = r = i % Income Stream S(t) = i dollars/year1. What is the present value of $500.00 to be paid in two years if the annual interest rate is 5%? $___ 2. The current interest rate on a 10-year treasury note (with face value = $100 and annual coupon rate = 2.625%) is 3.37%. The buyer of this note will receive $ ____ payment from the treasury every year before maturity while holding the bond.