Showing posts with label Geometric mean of return. Show all posts
Showing posts with label Geometric mean of return. Show all posts

31 July 2011

Housing Loan Reduction from EPF Account II - To withdraw or not to withdraw?


Question I have been asking: Is it always wise to withdraw EPF Account 2 for Home Mortgage Capital Repayment or in layman terms, reducing housing loan?

In the The Do’s and Don’t’s of EPF Withdrawal during an interview session at ntv7, Mr Yap Ming Hui stated that generally, if the “mortgage interest rate far exceed 5% (EPF dividend return)”, then it is advisable to do so.

Next question is, how much is “far exceeding” in this case?

I have been doing some simulation.
Referring to the table here:


21 July 2011

Rate of Return - the Right Way to Determine


Also known as the average annualized return or geometric mean of return, a potentially confusing term in the mathematics of finance.

Compared to simple arithmetic mean, geometric mean takes into account the time period and the effect of compounding, and is a more accurate representation of investment return.

Let's take an example something we can all relate to - unit trust fund. A hypothetical fund - Fund LCF has the rate of return as below:

Year 1: 15%    Year 2: -15%

At a glance, the "too-casual observer" will conclude that over the 2 years period, the investment return is 0% of your capital. This is arithmetic mean of return calculation. You break even.

Not true actually. Say, if you invested RM 10,000, you investment will be at RM 11,500 by end of Year 1. By end of Year 2, your money would have reduced to RM 9,775 (0.85 x 11,500). So you actually lose RM 225, or 2.25% of your initial capital.

The more accurate method to know the rate of return within the 2 years is by using geometric mean. It's really no rocket science. The calculation is as such:

[ (1+ r1) x (1 + r2) ]^(1/n) - 1, whereby r1 = 0.15 and r2 = -0.15, n = number of years, 2

...and you will get, -1.13%. This is the annual averaged loss over the time frame of 2 years. "WTF?" you asked. Unfortunately, this is the number that represents the reality in this case.

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