(1) How many years will it take to double the deposit without compounding the principal and interest?
First of all, the annual interest rate of 1 ten thousand is 4.35%, and the annual interest rate is: 1 ten thousand *4.35%* 1 year = 43,500 yuan;
The year of doubling the deposit without compound interest is: 1 10,000/43,500 yuan/year =22.98, about 23 years;
It can be concluded that the annual interest rate of 654.38+100,000 yuan is 4.35%, and the deposit can be doubled after 23 years.
(2) How many years will it take to double the deposit after the principal and interest are compounded?
Compound interest of principal and interest means that the interest generated every year is also settled at the annual interest rate of 4.35%, and the final interest is 6.5438+0 million yuan, plus the principal of 6.5438+0 million yuan, that is, how many years will it take for the total principal and interest to be * * * 2 million yuan?
The calculation of annual interest rate compound interest requires the following calculation. Details are as follows:
1 year interest: 1 ten thousand *4.35%* 1 year = 43,500 yuan; The interest generated is: 43,500 yuan.
Interest in the second year: 43,500+43,500 * 4.35% *1year = 45,392.25 yuan; The interest generated by profit is: 1894.25 yuan;
Interest in the third year: 45,392.25 yuan+45,392.25 yuan * 4.35% * 1 year = 47,366.5438+0 yuan; The interest generated by profit is: 1974.99 yuan;
Interest in the fourth year: 47,366.81yuan+47,366.81yuan * 4.35% * 1 year = 49,427.27 yuan; The interest generated by interest is: 2060.45 yuan;
Interest in the fifth year: 49,427.27 yuan+49,427.27 yuan * 4.35% * 1 year = 565,438 yuan+0.577 35 yuan; The interest generated by interest is: 265,438+050.09 yuan;
Interest in the 6th year: 5 1577.35 yuan +5 1577.35 yuan *4.35%* 1 year = 53,820.96 yuan; The interest generated by interest is: 2243.60 yuan;
Interest in the 7th year: 53,820.96 yuan+53,820.96 yuan * 4.35% * 1 year = 56 162. 17 yuan; The interest generated by interest is: 23,465,438+0.265,438+0 yuan;
Interest in the eighth year: 56 162. 17 yuan +56 162. 17 yuan *4.35%* 1 year = 58,605.22 yuan; The interest generated by interest is: 2443.05 yuan;
Interest in the 9th year: 58,605.22 yuan+58,605.22 yuan * 4.35% * 1 year = 6 1 154.55 yuan; The interest generated by interest is: 2549.32 yuan;
Interest in the first 10 year: 6 1 154.55 yuan+6154.55 yuan *4.35%* 1 year = 63814. The interest generated by interest is: 2660.22 yuan;
Interest on 1 1 year: 638 14.77 yuan +638 14.77 yuan *4.35%* 1 year = 66,590.77 yuan; The interest generated by interest is: 2775.94 yuan;
12 year interest: 66,590.77 yuan+66,590.77 yuan *4.35%* 1 year = 69,487.47 yuan; The interest generated by interest is: 2896.70 yuan;
13 year interest: 69,487.47 yuan+69,487.47 yuan *4.35%* 1 year =725 10. 17 yuan; The interest generated by interest is: 3022.70 yuan;
Interest for 14 years: 725 10. 17 yuan +725 10. 17 yuan *4.35%* 1 year = 75,664.36 yuan; The interest generated by interest is: 365,438+054.19 yuan;
Interest for 15 years: 75,664.36 yuan+75,664.36 yuan *4.35%* 1 year = 78,955.76 yuan; The interest generated by interest is: 32,965,438+0.40 yuan;
Interest for 16 years: 78,955.76 yuan+78,955.76 yuan *4.35%* 1 year = 82,390.33 yuan; The interest generated by interest is: 3434.57 yuan;
17 year interest: 82,390.33 yuan+82,390.33 yuan *4.35%* 1 year = 85,974.438+0 yuan; The interest generated by interest is: 3583.98 yuan;
Through the above calculation, we can get the specific amount of annual interest. Then add up the interest of 10 year, as long as it exceeds10 million yuan, the deposit interest will be doubled for many years: 43,500 yuan+45,392.25 yuan+47,366,5438 yuan+49,427.27 yuan in 0 yuan+565,438 yuan+0,577.35 yuan+5388 yuan. 5438+0 154.55 yuan +638 14.77 yuan +66590.77 yuan +69487.47 yuan+72510/7 yuan +75664.36 yuan+78955. The compound interest of principal and interest was only 17 years, and the interest was about/kloc-0 1.0624 million yuan, which successfully doubled the deposit interest.
Through the above calculation, it can be concluded that the annual interest rate of the deposit of 6.5438+0 million yuan is 4.35%, and the compound interest calculation shows that it takes 6.5438+07 years to double the deposit interest.
So we can draw the final conclusion: the annual interest rate of 654.38+100,000 yuan is 4.35%, it takes 23 years to double the deposit without compound interest, and it takes 654.38+07 years to double the deposit with compound interest, and the difference between compound interest and principal is 6 years. From this, we can learn a truth. If we want to take advantage of Qian Shengqian, we need capital compound interest. The power of capital compound interest is infinite and unimaginable.