1.Consider a person who begins contributing to a retirement plan at age 25 and contributes for 40 years until retirement at age 65. For the first ten years, she cntributes $3,700 per year. She increases the contribution rate to $5,700 per year in years 11 through 20. This is followed by increases to $10,700 per year in years 21 through 30 and to $15,700 per year for the last ten years. This money earns a 10 percent return, first compute the value of the retirement plan when she turns age 65. Value $________.
Then compute the annual payment she would receive over the next 40 years if the wealth was converted to an annuity payment at 9 percent. Annual payment $ .
2.Assume that you contribute $200 per month to a retirement plan for 20 yrs. Then you are able to increase the contribution to $400 per month for the next 30 yrs. Given an 6% interest rate. What is the value of your retirement plan after the 50 years? Future value of multiple annuities $ .
3. Consider that you are 35 yrs old and have just changed to a new job. You have $158,000 in the retirement plan from your former employer. you can roll that money into the retirement plan of the new employer. You will also contribute $8,000 each year into your new employer’s plan. If the rolled-over money and the new contributions both earn an 6% return, how much should you expect to have when you retire in 30 yrs? Future value $ .
4. To borrow $1,650 you are offered an add on interest loan at 8.1 % with 12 monthly payments. Compute the 12 equal payments. Equal payments $ .
Compute the EAR of the loan. EAR %.
5. To borrow $1,400 you are offered an add on interest loan at 7 %. Three loan payments are to be made, one at four months, another at eight months and the last one at the end of the year. Compute the three equal payments. Three equal payments $ .
6. Your client has been given a trust fund valued at $1.64 million. She cannot access the money until she turns 65 yrs old, which is in 15 yrs. At that time , she can withdraw $18,000 per month. If the trust fund is invested at a 4.5 % rate, compounded monthly, how many months will it last your client once she starts to withdraw the money?
Number of months .
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