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Mathematical methods of foreign exchange
This is not a purely mathematical problem:

Background: The cash bid price/cash bid price/cash selling price in the foreign exchange quotation sheet of banks are all expressions of "bankization". Cash refers to freely convertible bills of exchange, checks and other foreign currency bills. Cash is tangible foreign banknotes and coins.

Spot bid price (foreign exchange bid price): the price at which banks buy foreign exchange. The price at which customers sell foreign currency cash.

Cash bid price (currency bid price): the price at which banks buy foreign currency cash. The price at which customers sell foreign currency cash.

Spot selling price: the price at which banks sell foreign exchange.

Cash selling price (note selling price): the price at which the bank sells foreign currency cash.

Middle price (benchmark price): the foreign exchange quotation of the day published by the foreign exchange trading center authorized by the People's Bank of China.

Personal foreign exchange trading business is mostly based on the principle of paper money for paper money and foreign exchange for foreign exchange. Cash cannot be converted into cash at will, and a certain handling fee is required to convert it into foreign exchange.

Moreover, the purchase price of cash is often different from that of cash, because after the bank buys cash, it needs to be classified and kept according to denomination and format, transported to the issuing country, or transferred between different outlets. The cost is much higher than that after buying cash, and there is also the risk of receiving counterfeit banknotes. So the buying price of paper money is lower than that of foreign exchange.

Some banks have only one selling price (that is, partial paper money selling price and foreign exchange selling price). Because banks sell cash, customers can take it out after paying a certain exchange fee, so there is only one selling price.

Dollar, CNY, HKD, pound, euro.

1. Ask the bank to sell the RMB price of $ A, and indicate the RMB price of 100 foreign currency in the column of foreign exchange (paper money) selling price.

* Bank sells 100 USD = Bank gets 638.67 CNY.

∴ One dollar sold by the bank = one dollar received by the bank * 6.3867 yuan.

If you buy 1500 USD from the bank, how much RMB will it cost? That is, the bank sells 1500 dollars.

∴ Bank sells 1500 USD = the bank gets 6.3867* 1500 yuan = it needs to pay 9580.05 yuan to the bank.

2. The bank is required to buy the RMB price of B euros in cash, and the column of bill purchase price indicates RMB price 100 foreign currency.

* Bank buys 100 Euro = Bank gets 748. 14 CNY.

∴ Bank buys B Euro = Bank gets B * 7.45438+04 RMB.

If you use 1250 euros to exchange RMB with the bank, how much RMB can you exchange? That is, the bank buys 1250 euros.

∴ Bank buys from bank 1250 Euro = Bank pays 7.4814 *1250 CNY = 9351.75 CNY.

(3) If C dollars are exchanged for euros from banks, how much euros can they be exchanged for? That is, when the bank buys C dollars, the column of bill purchase price indicates the bank's purchase price of RMB 100 foreign currency.

∫ Bank buys 100 USD = Bank pays 631.03cny.

∴ Bank buys C USD = Bank pays c*6.3 103 RMB.

The bank will also sell X euros, and the column of cash selling price indicates RMB price 100 foreign currency.

* Bank sells 100 Euro = Bank gets 778. 18 CNY.

∴ Bank sells X Euros = Bank gets x * 7.75438+08 RMB.

∴ Bank sells X euros = Bank buys C dollars.

∴ Bank gets x*7.78 18 yuan = Bank pays c*6.3 103 yuan.

x = c * 6.3 103/7.78 18 = c * 0.8 10904932

∴ The bank sold X euros = c * 0.8 10904932 euros, which was exchanged from the bank.