correspondence

a.) show that the following set is infinite by setting up a one-to-one correspondence between the given set and a propor subset of itself: {8,10,12,14,...} b.) show that the following set has cardinal N sub o by setting up a one-to-one correspondance between the set of counting numbers and the given set: {5,9,13,17,...}

Compound Interest

a) Suppose I want to have $60,682.50 in my account for my children's college education. I expect to earn an average return of 12%, compounding four times a year. If I deposit $25,000.00 today in my account, how many years will it take me to meet my goal($60,682.50 in my account) b) Now suppose my goal is to have $100,000.00 in my account in ten years. Based on my information, I can earn 16%, compounding quarterly. How much money must I deposit at the end of each quarter to have the $100,000.00 in my account when I need it

Exchange Rates

You have the following exchange rates available: FF 5.8860 per US $ GM 1.7558 per US$ US$ 1.6327 per British Pound(BP) a) Determine the above rates in other quotation format ( i.e. if above rates are quoted indirectly,calculate direct quotation,and vice versa) Please provide your answer in proper manner ( i.e. XX per YY) b) Calculate the exchange rate between FF and BP c) What is the exchange rate between FF and GM

Exchange Rate gain or lose

a) Suppose your company has an international operation. Last month, when the exchange rate between the US DOllar and Japanese Yen was 130.00, your compnay contracted to purchase inventory from a Japanese company for Y 13,000,000 payable in 30 days in Japanese currency. This month the exchange rate is only 125.00. Calcualte, if any, your company's gain or loss due to the exchange rate fluctuation b) Last month, your company sold some merchandise to a Mexican customer for MP 33,750,000. The exchange rate at the time was 225.00 You just received the pesos due, but the exchange rate now is 240.00 What is, if any, your company's gain or lose in this transaction

Bond Calculations

Today's closing price of a bond, with the par value of $1,000.00 and 8% coupon rate, was listed as 103.50. The information also indicates that today's price was 7.20 higher then yesterday. Based on this information a) Calculate this bond's closing price for today b) Calculate yesterday's price of this bond