The time-weighted rate of return is the preferred method of return calculation in the investment management industry, primarily because this method is not sensitive to significant additions and withdrawals of funds from portfolios under examination. The calculation of the time-weighted rate of return involves three steps, which are illustrated as follows:
Step 1:Price the portfolio immediately prior to any significant additions or withdrawals. Separate the portfolio into a series of sub-periods based on the dates of cash inflows and outflows.
Step 2:Calculate the holding period return for each sub-period.
Step 3:Determine the annualized holding period return by linking or compounding the holding period return of each sub-period. If the investment is for more than one year, use the geometric mean of the annual returns as the time-weighted rate of return. If the investment is for less than one year, compound the sub-period returns to obtain an annualized measurement.
To begin the process of determining the time-weighted rate of return, we would break the portfolio up into the subsequent series of cash flows. However, in this example, the cash flows are already aggregated for us and we can move on to the next step: determining the holding period return for each sub-period. This process is detailed as follows:
Quarter 1 holding period return = [($50,800,000 ending value - $46,100,000 invested) / $46,100,000 invested] = 10.19523%
Quarter 2 holding period return = [($51,100,000 ending value - $50,800,000 invested) / $50,800,000 invested] = 0.59055%
Quarter 3 holding period return = [($51,000,000 ending value - $51,100,000 invested) / $51,100,000 invested] = (0.1957%)
Quarter 4 holding period return = [($54,500,000 ending value - $50,000,000 invested) / $50,000,000 invested] = 9.00%
Now that the holding period return for each sub-period has been determined, we must annualize the return measure by taking the product of all four quarterly returns. This process is illustrated below:
[(1 + .10195) * (1 + .00591) * (1 - .00196) * (1 + .09) - 1] = .2059 or 20.59%
When calculating the time-weighted rate of return, remember that the total amount invested is the relevant figure, not the beginning portfolio value. Notice that during the fourth quarter, the total amount invested does not equal the ending amount for the third quarter. This differential could be explained by numerous phenomena. Perhaps the difference is due to a cash withdrawal from the account. Maybe it was used to pay expenses or meet an outstanding margin call. What is important to note is the fact that this money was not invested, and should not be included in the holding period return for the fourth quarter. So said, whenever possible you should use the total amount invested rather than the beginning portfolio value in the calculation of the sub-period holding period return. If you chose 19.59%, remember that in the calculation of the time-weighted rate of return, it is the geometric mean that is used rather than the arithmetic mean.

This transaction affects an asset account and a liability account. The receipt of cash affects an asset account (Cash) and a liability account (Unearned Revenue) because payment has been received for services not yet performed.

The categorization depends on whether the value of the item being sold is the same to each bidder or is unique to each bidder.

HPR = (Price + Interest - Price ) /Price0
1 0
One interest payment will be received in November of 6.1875. That is 12.375/2. Buying at the market,
Smedley will pay the asked price of 134 9/32 or 134.28125. HPR = (132 + 6.1875 - 134.28125)/134.28125
= 0.0291