Thursday, December 8, 2011

Need help with a financial math problem.?

A bank pays 12% per annum on its savings accounts. At the end of every three years, a 2% bonus is paid on the balance at that time. Find the annual effective rate of interest earned by an investor, if the deposit is withdrawn (a) in 2 years, (b) in 3 years, (c) in 4 years.|||a. it is still 12% ... there is no change...





b. (1.12)^3(1.02) = (1+j)^3


(1+j) = 1.1274


thus the annual effective rate of interest is 12.74%





c. (1.12)^4(1.02) = (1+j)^4


(1+j) = 1.12556


thus the annual effective rate of interest is 12.56%








搂|||a) 12%


b) (1.12^3 * 1.02)^(1/3) = 12.74%


c) (1.12^4 * 1.02)^(1/4) = 12.56%

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