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- A bank is negotiating a loan. The loan can either be paid off as a lump sum of $100,000 at the end of four years, or as equal annual payments at the end of each of the next four years. If the interest rate on the loan is 10%, what annual payments should be made so that both forms of payment are equivalent?What uniform annual payment for 30 years is equivalent to spending $10,000 immediately, $10,000 at the end of 10 years, $10,000 at the end of 20 years, and $2,000 a year for 30 years? Assume an interest rate of 8%.You deposit $100 now, and another $100 at the end of 20 years. The account earns a nominal discount rate of 4% compounded monthly for the first 20 years, and a nominal discount rate of d(52) compounded weekly thereafter. If the account has $700 at the end of 40 years then find this nominal discount rate compounded weekly.
- You were released from your current job and received a settlement of $54,000. The Canada Revenue Agency allows you to place the settlement in an RRSP. Fifteen years from now, you intends to transfer the money from the RRSP to a Registered Retirement Income Fund (RRIF). Thereafter, you will make equal withdrawals at the end of each quarter for fifteen years. If both the RRSP and the RRIF earn 6% compounded quarterly, what will be the amount of each withdrawal?$3,380.25 $3,320.25 $3,150.25$3,550.25 $3,350.25The price of a new car is $20,000. Assume that an individual makes a down payment of 25% toward the purchase of the car and secures financing for the balance at the rate of 7%/ year compounded monthly. (Round your answers to the nearest cent.) (a) What monthly payment will she be required to make if the car is financed over a period of 36 months? Over a period of 60 months? 36 months $ 60 months $ (b) What will the interest charges be if she elects the 36-month plan? The 60-month plan? 36-month plan $ 60-month plan $A bond pays $1000 in 5 years an earns an annual interest rate of 2.75%. What is the bond's price? Assume annual compounding. Round your answer to two decimal places.
- 9. A P 15,000 bond which will mature in 10 years and with a bond rate of 15% payable annually is to be redeemed at par at the end of this period. If it is sold now for P 1,390, determine the yield at this price.Suppose Sally’s current salary is $62,000 per year, and she is planning to retire 25 years from now. She anticipates that her annual salary will increase by $1,800 each year. in the first year she will earn $62, 000 in the second year $63, 800 in the third year $65, 600 and so forth.) At the end of each of the next 25 years, she plans to deposit 10% of her salary from that year into a retirement fund that earns 6% interest compounded daily. How much money will be in her account at the time of her retirement?You are making semiannual deposits into a fund that pays interest at rate of9% compounded continuously. What is the effective semiannual interest rate?(a) 4.000%(b) 4.708%(c) 4.164%(d)4.175%
- Consider the cash flow series given in the accompanying table. What value of C makes the deposit series equivalent to the withdrawal series at an interest rate of 6% compounded annually?(Ans. $459.88)Solve the following, using interest at 7% compounded annually: a) What is the amount that will be accumulated in a sinking fund at the end of 15 years if $200 is deposited in the fund at the beginning of each of the 15 years if $200 is deposited in the fund at the beginning of each of the 15 years? b) Uniform deposits are to be made on January 1 of 1991, 1992, 1993, and 1994 into a fund that is intended to provide $1,000 on January 1 of 2005, 2006, and 2007. What must be the size of these deposits?What single payment at the end of year 5 is equivalent to an equal annual series of payments of $600 beginning at the end of year 3 and ending at the end of year 12? The interest rate is 10% compounded annually.(a) $4,907(b)$6,260(c) $6,762(d)$6,883