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- Assume that after one time period, the value of a stock whose present value is 90 would be either 130 Or 65. Suppose that, for any y, at a cost of Cy, one can purchase at a time-0 the option to buy y shares of the stock at time-1 at a price of 100 per share. For what values of C, no-arbitrage will be possible? (Provide necessary details).1. What is the net single premium required for (x) to purchase a 10 year pure endowment with payment amount of $10,000 in 10 years given j1 = 3%, lx = 6,800 and lx+10 = 4,130. (A) $4,519 (B) $4,655 (C) $ 5,897 (D) $6,074A loan of $3325.00 is to be repaid by three equal payments due in 102 days, 157 days and 189 days respectively. Determine the size of the equal payments at 12.15% p.a. with a focal date of today
- A life insurance company sells annuities to men aged exactly 60. Each policyholder pays a single net premium, P, and then receives anannuity of $30 000 a year in arrear (so that the first annuity payment is on the 61st birthday). Assume that mortality follows the Standard Select Life Table,and that the interest rate is 5% per year. Now suppose that the office sells 1 000 such annuities simultaneously toindependent lives. Calculate the value of P such that the probability thatthe present value of the profit to the insurance company is positive is 95%.An assessee depreciated the machinery of his factory by 10% each in the first two years and by 40% in the third year and thereby claimed 21% average depreciation relief from taxation department, but the I.T.O. objected and allowed only 20% Show which of the two is right.Mr. Tan call his resident wife and deposited P100,000 to their joint account and the P100,000 is to be invested in the cooperative. The time deposit on bank is a 5 year term with interest rate at 7% while the other deposit to the cooperative is 1 year time deposit at 5% interest rate. (1) Compute for the interest earned after maturity date on the deposits (2) Compute for the final tax rate for the deposits. (3) Suppose that the time deposit in the bank was pre-terminated at year (4) what is the final tax rate?
- A building contractor has a contract which will expire in 30 days. He has 80 men on the job and can finish the work in 50 days. The salary per day of 40 men is P150 each and that of the other 40 men is P130 each for 8 hours work per day. The time or liquidated damages for delay in the work is P10, 000 per day. How many more men should the contractor add in order to enable him to complete the work on time? Assuming that the additional men to be added will have a salary of P150 each per day, will the contractor save money by employing enough men to enable him to complete the work on time or by not adding men and paying the liquidated damages? How much is the savings, If any? No overtime work is allowed.Which of the following statements is true about annuity? * a. It is a series of payments of unequal amounts, though made at an equal interval of time b. It is a series of payments of equal amount made at an equal interval of time. c. None of the above d. It is a series of payments of equal amount but made not of equal interval of time If you have PhP 5,000.00, which of the following investment alternatives would provide the greatest ending wealth for your one-year investment? * a. 7/10 percent compounded quarterly b. 72/100 percent simple interest c. 7/10 percent compounded semi-annually d. 7/10 percent compounded annually How much interest was earned by an investment that earns at a rate of 9% compounded semiannually for 7 years if the initial investment is at Php 18,000.00? * a. Php 15,535.01 b. Php 15,353.01 c. Php 15,533.01 d. Php 15,335.01 Suppose that you want to earn Php 9,281.25 after 27 months and you have Php 75,000. At what rate should you invest the said amount? * a. 5.75%…A new brand of cell phone is for sale in SM Lucena at P 13,499.00 in cash or in instalment terms, P2,500.00 each month for the next 6 months at 9% compounded monthly. 1. If you were the buyer, what do you prefer? C ash or installment? 2. Why did you choose cash? Installment? 3. What is the advantage of choosing c ash basis? 4. What is the advantage of choosing installment basis?
- A loan payment of $1700 was due 60 days ago and another payment of $1200 is due 45 days from now. What single payment 90 days from now will pay off the two obligation if interest is to be 14% and the agreed focal date is 90 days from now?You are a management consultant for a 30 year old partner in a large firm. In a meeting your client says, "According to an article in the New York Times, 57% of large law firms have a mandatory retirement age for a partners in the firm before they retire partners are paid directly for their work that they do and as owners, they are entitled to a share of their profits of the firm. Once they retire, partners do not receive either form of compensation. In light of this, I think we should eliminate mandatory retirement in order to gain a competitive advantage in attracting high quality lawyers to work for our firm. Of course you are the expert what do you recommend? Explain.Since I was told to post another question, here is the problem. Use the definition of Convergent Sequences to prove: