插值法是如何計算的 插值法的計算原理?
Interpolation method is how to calculate the interpolation calculation principle?
插值法是計算實際利率的一種方法.是使未來現金流量現值等于債券購入價格的折現率.插值法(或稱插插補法、內插法)是財務分析和決策中常用的財務管理方法之一. 插值法的原理是根據比例關系建立一個方程,然后,解方程計算得出所要求的數據.濟南代理記賬公司
Interpolation method is a method to calculate the real interest rates. Is to make the present value of future cash flows is equal to the bond discount rate of the purchase price. Interpolation method (or interpolation method, interpolation method) is commonly used in financial analysis and decision making of one of the financial management methods. The principle of interpolation method was established according to the proportional relationship between the equation, then the equation calculates the required data. Jinan bookkeeping agency company
假設與A1對應的數據是B1,與A2對應的數據是B2,現在已知與A對應的數據是B,A介于A1和A2之間,則可以按照(A1-A)/(A1-A2)=(B1-B)/(B1-B2)計算得出A的數值,其中A1、A2、B1、B2、B都是已知數據.
Assumptions and corresponding data is B1, A1 and A2 corresponding data is B2, A corresponding data is now known as B, A between A1 and A2, can according to the (A1 - A)/(A1, A2) = (B1 - B)/(B1, B2) calculated by A numerical, A1, A2, B1, B2, B are known data.
驗證如下:根據:(A1-A)/(A1-A2)=(B1-B)/(B1-B2)可知:(A1-A)=(B1-B)/(B1-B2)×(A1-A2) A=A1-(B1-B)/(B1-B2)×(A1-A2)=A1+(B1-B)/(B1-B2)×(A2-A1)
Validation is as follows: according to: (A1 - A)/(A1, A2) = (B1 - B)/(B1, B2) unknown: (A1 - A) = (B1 - B)/(B1, B2) x (A1, A2) A = A1 - (B1 - B)/(B1, B2) x (A1, A2) = A1 + (B1 - B)/(B1, B2) x (A2 - A1)
例如某人向銀行存入5000元,在利率為多少時才能保證在未來10年中每年末收到750元?
Someone to the bank deposit 5000 yuan, for example, in the interest rate is how to ensure that in the next 10 years, received 750 yuan at the end of the year?
5000/750=6.667 或 750*m=5000 查年金現值表 i=8%,系數為6.710 i=9%,系數為6.418 說明利率在8%-9%之間,設為x% (x%-8%)/(9%-8%)=(6.667-6.71)/(6.418-6.71)
M = 5000/750 = 6.667 or 750 * 5000 annuity present value table I = 8% and the coefficient of 6.710 I = 9%, coefficient of 6.418 shows that interest rate between 8% and 9%, is set to x % (x % 8%)/(9% 8%) = (6.667 6.71)/(6.418 6.71)
計算得出 x=8.147.
X = 8.147 is calculated.