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- 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 > 60Assume a consumer who has current period income y = 200 , future-period income y' = 150, current and future taxes t = 40 and t' = 50, respectively and faces a market real interest rate ofr 005, or 5% per period. The consumer would like to consume equal amounts in both periods, that is, he or she would like to set c = c', if possible. However, this consumer is a faced with a credit market imperfections, in that he or she cannot borrow at all, that is, s>or=20. (a) Show the consumer's lifetime budget constraint and indifference curves in a diagram. (b) Calculate his or her optimal current period and future-period consumption and optimal, saving, and show this in your diagram.Assume a consumer who has current period income y = 200 , future-period income y' = 150, current and future taxes t = 40 and t' = 50, respectively and faces a market real interest rate ofr 005, or 5% per period. The consumer would like to consume equal amounts in both periods, that is, he or she would like to set c = c', if possible. However, this consumer is a faced with a credit market imperfections, in that he or she cannot borrow at all, that is, s>or=20. (a) Show the consumer's lifetime budget constraint and indifference curves in a diagram. Calculate his or her optimal current period and future-period consumption and optimal, saving, and show this in your diagram. (b) Suppose that everything remains unchanged. except that now t = 20 and t' = 71. Calculate the effects on current and future con sumption and optimal saving, and show this in your diagram (d) Now, suppose alternatively that y = 100. Repeat parts (a) and (b), and explain any differences.
- 8. Question 1 Fatu took out an endowment policy. The first annual payment was Rx, whereafter it increased yearly by R1 700. After 20 years the policy paid out R1 005 962. The applicable yearly interest rate is 10%. The value of x is approximately A. R11 816. B.R17 564. C.R6 500. D.R564. Question 2 Daniel asks to reschedule the compensation in three payments,the first payment now ,the second payment twice the size of the first payment for four years from now and the third payment three times the size of the first payment nine years from now.The boxing fund agrees on condition that the interest rate changes to 10.95% per year compounded monthly .The amount to the nearest hundred rand that Daniel can expect to receive four years from now is A R 864 000 B.R 557510 C.184 800 D.369 600Consider a 25-year loan with an annual interest rate of 7 percent and monthly payments of $1,201.53. The discount points charged by the lender at origination are 3 percent and the cost of borrower title insurance and mortgage insurance are, respectively, 0.5 percent and 2.0 percent of the loan amount. Additional fees paid to other third parties (i.e., not the lender) will equal $4,000. What is the loan amount? What is the lender’s yield/IRR? What is the effective borrowing cost (EBC)? USE EXCELSuppose you purchased a corporate bond with a 10-year maturity, a $1,000 par value, a 9% coupon rate ($45 interest payment every six months), and semiannual interest payments. Five years after the bonds were purchased, the going rate of interest on new bonds fell to 6% (or 6% compounded semiannually). What is the current market value (P) of the bond (five years after the purchase)?(a) P = $890(b) p = $1,223(c) P = $1,090(d) p = $1,128
- 5.What rate of simple interest will make a principal double itself in 6 years. a)16.67% b)8.33% c)33.33% d)4.16%Sarah wants to purchase a new car five years from now. She expects that at the time of purchase the price for a passenger vehicle will be $55,530. If the bank interest rate is 5% per annum, how much will she be required to put into her account NOW to ensure she has enough cash to purchase the vehicle? a $90,453 b $34,090 c $43,509 d $70,873Susie Lee won a lottery. She will have a choice of receiving $25,000 at the end of each year for the next 30 years, or a lump sum today. If she can earn an annual return of 10 percent on any investment she makes, what is the least she should be willing to accept today as a lump-sum payment? (Round to the nearest hundred dollars.) Use the NPV as you have equal cash flows of $25,000 for the next 30 years.
- Which of the following investment options willmaximize your future wealth at the end of 18 years?Assume any funds that remain invested will earn anominal rate of 12% compounded monthly.(a) Deposit $8,000 now.(b) Deposit $120 at the end of each month for thefirst 12 years.(c) Deposit $105 at the end of each month for 18years.(d) Deposit a lump sum in the amount of $35,000 atthe end of year 12.What's the taxable equivalent yield on a municipal bond with a yield to maturity of 3.5 percent for an investor in the 33 percent marginal tax bracket? (Round your answer to 2 decimal places.)Consider a 529 (college savings) plan that will pay $20,000 once a year for a 4-year period (4annual payments). The first payment will come in exactly 5 years (at the end of year 5) and thelast payment in 8 years (at the end of year 8). What is the duration of the pension obligation? The current interest rate is 8% per yearfor all maturities.
