#27 please and thank you

$2500 in interest, and nt to uild accrued over that month; the principal remains For example, suppose you have accumulated $500,000 in an account with a monthly interest rate of 0.5%. Each month, the nest egg will always remain at $500,000. That is, the $500,000 perpetuity has a monthly yield of $2500. In general, Monthly perpetuity yield = Nest egg x Monthly interest rate have punded desired you can withdraw $500.000 x 0.005 e the the monthly yield for a perpetuity is given by the formula 2000 m of In this formula, the monthly interest rate is expressed as a er the decimal. Suppose we have a perpetuity paying an APR of 6% compounded monthly. If the value of our nest egg (that is, the present value) is $800,000, find the amount we can withdraw each month. Note: First find the monthly interest rate. Cow 26. Perpetuity yield. Refer to Exercise 24 for background on perpetuities. You have a perpetuity with a present value (that is, nest egg) of $650,000. If the APR is 5% compounded me monthly, what is your monthly income? in se, 26. Another perpetuity. Refer to Exercise 24 for background est on perpetuities. You have a perpetuity with a present value of $900,000. If the APR is 4% compounded monthly, what is your monthly income? of X. Comparing annuities and perpetuities. Refer to Exercise 24 for background on perpetuities. For 40 years, you invest $200 per month at an APR of 4.8% compounded monthly, then retire and plan to live on your retirement nest egg. a. How much is in your account on retirement? b. Suppose you set up your account as a perpetuity on retirement. What will your monthly income be? (Assume that the APR remains at 4.8% compounded monthly.) u you c. Suppose now you use the balance in your account for a life annuity instead of a perpetuity. If your life expectancy is 21 years, what will your monthly income be? (Again, assume that the APR remains at 4.8% compounded monthly.) d. Compare the total amount you invested with your total return from part c. Assume that you live 21 years after retirement. 32. wit! intc to wil Ex su 33