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Time Weighted Returns and Money Weighted Returns

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Question 1
Multiple Choice
Confidence Level
0%
Low Medium High Mastered
If you invest in the market right before the market returns skyrocket, which return will be elevated in favorable performance?
Explanation
Use the name of these returns to your advantage. Time weighted returns are not affected by the investment or removal of additional cash. Money weighted returns are.
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Question 2
Multiple Choice
Confidence Level
0%
Low Medium High Mastered
John buys one share of ABC stock for $350. At the end of year one John decides to buy seven more shares at $420 per share. At the end of year two he sells all of the shares he purchased for $545 each. The stock paid an annual dividend at the end of each year of $10 a share. Please calculate John's money-weighted return.
Explanation
Be sure to use the BA II Plus Cash Flow (CF) calculation to solve this. Here is what you need to solve it. 1. John bought a share for -$350. (This is an outflow from John so it is negative.) 2. John received a dividend at the end of year one for $10. (This is an inflow to John so this is positive.) 3. John bought seven more shares for -$420 per share for a total of -$2,940 [ -$420 * 7 = -2,940] (This is an outflow from John so it is negative.) 4. John received a dividend at the end of year two of $10 for each share he owned. He owned a total of 8 shares at the time. 8 * 10 = 80 (This is an inflow to John so this is positive.) 5. John sold all of his shares at the end of year 2 at $545 a share. $545 * 8 = $4,360 (This is an inflow to John so this is positive.) To solve using the BA II Plus do the following steps. First calculate your Time and Cash Flow. CF0 or Time 0 = -350 C01 or Time 1 = -$2,930 (Calculated by adding -$2,940 and $10.) C02 or Time 2 = $4,440 (Calculated by adding $80 and $4,360.) Second Use your BA II Plus Calculation Before you start, it is always good practice to clear your work by pressing 2ND and CLR Work. 1. Press the CF button for Cash Flow calculations. 2. CF0 should equal -350 (Type 350, press +/- button, press ENTER) 3. Press the Down arrow to reach C01. 4. C01 should equal -2,930 (Type 2,930, press +/- button, press ENTER) 5. Press the Down arrow to reach C02. 6. C02 should equal $4,440 (Type 4,440 , press ENTER) 7. Press IRR 8. Press CPT
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Question 3
Multiple Choice
Confidence Level
0%
Low Medium High Mastered
An investor buys one share of stock for $200. At the end of year one she buys two more shares at $180 per share. At the end of year two she sells all three shares for $190 each. The stock paid a dividend of $2.00 per share at the end of year one and year two. What is the investor's time-weighted rate of return?
Explanation
For this question, you have to calculate it manually. The best way to remember that you have to calculate it manually is that it takes TIME to complete a time weighted question. The holding period return in year one is: (180.00 – 200.00 + 2.00) / 200.00 = –0.09 = –9.00% The holding period return in year two is: (190.00 – 180.00 + 2.00) / 180.00 = 0.0667 = 6.67% The time-weighted return is: [(1 + (–0.0900)) × (1 + 0.0667)]^0.5 – 1 = (0.91 × 1.0667)^0.5 – 1 = (0.9707)^0.5 – 1 ≈ 0.0110 = 1.10%
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Question 4
True False
Confidence Level
0%
Low Medium High Mastered
Time-weighted returns are affected by the timing of cash flows.
Explanation
Time-weighted returns are not affected by the timing of cash flows. This makes time-weighted returns better for performance measurements over Money-weighted returns.
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Question 5
Multiple Choice
Confidence Level
0%
Low Medium High Mastered

An investor purchases two shares of stock at $75 each. At the end of year one, the stock pays a dividend of $1.50 per share, and the investor purchases two more shares at $82 each. At the end of year two, the investor sells all four shares at $80 per share. Each share pays another dividend of $1.50 at the end of year two. What is the investor’s money-weighted rate of return?

Explanation

The cash flows are as follows:

  • T = 0: Buy 2 shares at $75 = −$150

  • T = 1: Receive $3 in dividends; buy 2 shares at $82 = −$164 + $3 = −$161

  • T = 2: Receive $6 in dividends; sell 4 shares at $80 = 4 × $80 + $6 = $320 + $6 = $326

Use a financial calculator or spreadsheet to compute IRR with:

  • CF0 = –150

  • CF1 = –161

  • CF2 = +326

IRR ≈ 3.22%, which is the money-weighted rate of return accounting for all inflows and outflows.

Step-by-Step on the BA II Plus

1. Enter Cash Flow Mode

  • Press: CF

  • You should see CFo=

2. Enter the Cash Flows

  • CFo = -150
    (Initial investment at T = 0)
    Press: 150, then +/−, then ENTER
    Press: ↓

  • C01 = -161
    (Dividend of +3 and purchase of 2 shares at $82 → Net = –161)
    Press: 161, then +/−, then ENTER
    Press: ↓
    Frequency F01 = 1 → Press ENTER, then ↓

  • C02 = 326
    (Dividend of 4 shares + sale of 4 shares = 6 + 320)
    Press: 326, then ENTER
    Press: ↓
    Frequency F02 = 1 → Press ENTER, then ↓

3. Compute IRR

  • Press: IRR

  • Then press: CPT

You should get: IRR ≈ 3.22%

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Question 6
Multiple Choice
Confidence Level
0%
Low Medium High Mastered

An analyst is evaluating a client’s investment portfolio over a two-year period. She calculates the internal rate of return (IRR) based on all deposits and withdrawals made during the period, along with the ending market value. The return she is calculating is best described as the:

Explanation

The money-weighted rate of return is calculated using the internal rate of return (IRR) method, which incorporates the timing and amount of all external cash flows, such as deposits and withdrawals. It equates the present value of all cash inflows with the present value of all cash outflows, making it sensitive to the timing of those flows.

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Question 7
Multiple Choice
Confidence Level
0%
Low Medium High Mastered
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Full Answer
Rendered Formula: