Investment

If an investor deposits $2,000 on 1 January every year and the account guarantees 4% per annum, with interest calculated on 31 December each year, how much will be in the account at the end of the 10th year?

Final Answer:

x =  24972.7028 USD

Step-by-step explanation:

a=2000 USD q=100%+4%=1+1004=1.04 t=10  x1=a q=2000 1.04=2080 x2=(x1+a) q=(2080+2000) 1.04=521216=4243.2 x3=(x2+a) q=(4243.2+2000) 1.04=6492.928 x4=(x3+a) q=(6492.928+2000) 1.048832.6451 x5=(x4+a) q=(8832.6451+2000) 1.0411265.9509 x6=(x5+a) q=(11265.9509+2000) 1.0413796.589 x7=(x6+a) q=(13796.589+2000) 1.0416428.4525 x8=(x7+a) q=(16428.4525+2000) 1.0419165.5906 x9=(x8+a) q=(19165.5906+2000) 1.0422012.2142 x10=(x9+a) q=(22012.2142+2000) 1.0424972.7028  x=x10=24972.7028=24972.7028 USD



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Showing 1 comment:
Zak
In this question, they are asking how much will be in the account at the end of the 10th year which means we have to find the sum and not the tenth member of the series.





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