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- A woman is considering giving an endowment to a university in order to provide payments of P55,000, P85,000, respectively, at the end of the first, and second semiannual during a year. If the interest rate is 12% compounded quarterly, what is the capitalized equivalent that must be deposited now so that the semiannual payments can be repeated forever?Please provide a step by step solution A bond with a par value of P2,000 and with a bond rate of 9% payable annually is to be redeemed at P2,200 at the end of 6 years from now. If it is sold now, what should be the selling price to yield 8%?Your company expects to receive 5,000,000 Japanese yen 60 days from now. You decide to hedge your position by selling Japanese yen forward. The current spot rate of the yen is $.0089, while the forward rate is $.0095. You expect the spot rate in 60 days to be $.0090. How many dollars will you receive for the 5,000,000 yen 60 days from now if you sell yen forward?
- You want to open a savings plan for your future retirement. You are considering the following two options: Option 1: You deposit $1,000 at the end of each quarter for the first 10 years. At the end of 10 years, you make no further deposits, but you leave the amount accumulated at the end of 10 years for the next 15 years. Option 2: You do nothing for the first 10 years. Then you deposit $6,000 at the end of each year for the next 15 years. If your deposits or investments earn an interest rate of 6% compounded quarterly and you choose Option 2 over Option 1, then at the end of 25 years from now, you will have accumulated (a) $7,067 more. (b) $8,523 more. (c) $14,757 less. (d) $13,302 less.A gasoline engine is available on installment basis with a down payment of P 8,000.00 and P 1,000.00 at the end of each month for one year. What is the cash price of the engine if interest is set at 6% compounded monthly? P 21,111.35 P 19, 618.93 P 17,476.24 P 13,287.89The price of a non-dividend paying stock is currently S = 100. Over the next year, it is expected to go up by 25% or down by 20%. The risk-free interest rate is r = 5% per annum with continuous compounding. How many units of the stock should you include in a portfolio containing a European Put option that gives the right to sell 100 units of the stock at a strike price K = 100 each, for the result of this portfolio to be independent of the price of the stock in 1-year time? Select one. a. 0 b. 22 c. 44 d. 33 e. 11
- Two treasury bonds (with semi-annual coupons) are traded. The first bond matures in six months, has coupon rate 4% per annum, and has dirty price $96.42. The second bond matures in twelve months, has coupon rate 11% per annum, and has dirty price $97.79. What is the twelve month spot rate with semi-annual compounding? 13.49% 13.08% 13.94% 13.44%Suppose a man receives an initial annual salary of P60,000, decreasing at the rate of P5,000 a year. If money is worth 10%, determine his equivalent uniform salary for a period of 8 years.i) Find the present value of an asset which will pay you a single cash flow of RM13,000 at time ? = 10. ii) Rank the following in terms of ascending order. (i.e. lowest to highest): ?,?^??, ?,?^?,?^?,?^? b) Hanie Najwa needs to borrow RM5,000 for one year. • Option A: She is offered a loan at an effective annual rate of 5% • Option B: She is offered a loan of RM10,000 at a lower effective annual rate of interest denoted by ?. If she borrows of RM10,000, she can invest the excess RM5,000 for one year at 3%. How low must the rate on the RM10,000 loan (Option B) be in order for Hanie Najwa to prefer it to the RM5,000 loan (Option A)?
- Henry has a five-year 1,000,000 bond with coupons at 6% convertible semi-annually. Fiona buys a 10-year bond with face amount X and coupons at 6% convertible semi-annually. Both bonds are redeemable at par. Henry and Fiona both buy their bonds to yield 4% compounded semi-annually and immediately sell them to an investor who will yield 2% compounded semi-annually. Fiona earns the same amount of profit as Henry. Calculate X.The manager of Automated Products is contemplating the purchase of a new machine that will cost$300,000 and has a useful life of five years. The machine will yield (year-end) cost reductions toAutomated Products of $50,000 in year 1, $60,000 in year 2, $75,000 in year 3, and $90,000 in years4 and 5. What is the present value of the cost savings of the machine if the interest rate is 8 percent?The gaming commission is introducing a new lottery game called Infinite Progresso. The winner of the Infinite Progresso jackpot will receive $600 at the end of January, $1,600 at the end of February, $2,600 at the end of March, and so on up to $11,600 at the end of December. At the beginning of the next year, the sequence repeats starting at $600 in January and ending at $11,600 in December. This annual sequence of payments repeats indefinitely. If the gaming commission expects to sell a minimum of 1,150,000 tickets, what is the minimum price they can charge for the tickets to break even, assuming the commission earns 3.00% /per/year/month on its investments and there is exactly one winning ticket?