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Given : A fund that starts with a zero balance with time zero. Fund accumulates with a varying
force of interest.
The formula for the function is given:
A $100,000 is deposited at time 2.
To find: No. of years from the time of deposit for the fund to double.
Solution
:In case of a fixed rate of interest, it gradually decreases in relation to its value as time increases.
The interest on interest is also accumulated.
With the given function, t>0 and deposit is made at time 2. i.e when t=1.
Substitute the value of t in the function, we get,
Del(t)= 2*(1)/((1^2 + 1) =1
No of years for fund to double is 1 year.

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  • 1. Given : A fund that starts with a zero balance with time zero. Fund accumulates with a varying force of interest. The formula for the function is given: A $100,000 is deposited at time 2. To find: No. of years from the time of deposit for the fund to double. Solution :In case of a fixed rate of interest, it gradually decreases in relation to its value as time increases. The interest on interest is also accumulated. With the given function, t>0 and deposit is made at time 2. i.e when t=1. Substitute the value of t in the function, we get, Del(t)= 2*(1)/((1^2 + 1) =1 No of years for fund to double is 1 year.