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How is the number in the blank of the first question of financial mathematics calculated?
Solution: According to the meaning of the question, it is required to calculate the weight/proportion of the present value of 100 dollars in the total present value in the next five years under the given interest rate/yield.

∴ ① Find the total present value first. i= 1%,v= 1/( 1+i)= 1/( 1+ 1%)= 1/ 1.0 1,pv= 100(v+v^2+…+v^5)= 100( 1-v^5)/i=485.343 1。 ② Calculate the weight. w 1 = 100V/PV =( 100/ 1.0 1)/485.343 1 = 0.2040,W2 = ( 100 V 2)。

When i= 12%, the idea is the same as the previous calculation of i= 1%. pv= 100( 1- 1/ 1. 12^5)/0. 12=360.4776。 ∴w 1= 100v/pv=( 100/ 1. 12)/360.4776=0.2477、w2=w 1*v=0.2477/ 1. 12=0.22 1 1、 w3=w2* v = 0.22 1 1/ 1. 12 = 0. 1975、w4=w3*v=0. 1763、w5=w4*v=0. 1574。 Regardless of the radix $ 100, it can also be used as a reference to set the number of units 1 or a. ..