条件不清楚,关键是annual interest is 2%, compounded semi-annually还是 semi-annual interests is 2%? 后面那个quarter也要解释清楚. 否则答案是不一样的. 条件是利息一样,还是最后的所得一样呢?
假设1: Deposit x, compounded semi-annually, annual interest is 2% results the same amountafter one year as a deposit of 10000, compounded quarterly, annual interest 4%, and has been saved for one year.
X(1+2%)^2 = 10000 (1+4%)^4X=11244.4
假设2: Deposit X, yearly interest is 2%, compounded semi annually will have the same result after one year saving as a deposit 10000, with annual interest of 4%, compounded quarterly, and has been saved for a quarter.
X(1+2%)^2 = 10000 (1+1%)^1X=9707.8
假设3: Deposit X, yearly interest is 2%, compounded semi annually will have the same result after one year saving as a deposit 10000, with quarterly interest of 4%, compounded annually, and has been saved for one year.
条件不清楚,关键是annual interest is 2%, compounded semi-annually还是 semi-annual interests is 2%? 后面那个quarter也要解释清楚. 否则答案是不一样的. 条件是利息一样,还是最后的所得一样呢?
假设1: Deposit x, compounded semi-annually, annual interest is 2% results the same amountafter one year as a deposit of 10000, compounded quarterly, annual interest 4%, and has been saved for one year.
X(1+2%)^2 = 10000 (1+4%)^4X=11244.4
假设2: Deposit X, yearly interest is 2%, compounded semi annually will have the same result after one year saving as a deposit 10000, with annual interest of 4%, compounded quarterly, and has been saved for a quarter.
X(1+2%)^2 = 10000 (1+1%)^1X=9707.8
假设3: Deposit X, yearly interest is 2%, compounded semi annually will have the same result after one year saving as a deposit 10000, with quarterly interest of 4%, compounded annually, and has been saved for one year.