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Basic Question 1 of 6

Assume the following series of transactions:

t0: Unknown
t1: Purchase 10,000 shares of Intelligent Semiconductor for $98.90 per share
t2: Sell 10,000 shares of Intelligent Semiconductor for $105.30 per share
t3: Sell 5,000 shares of Intelligent Semiconductor for $111.65 per share
t4: Sell 5,000 shares of Intelligent Semiconductor for $140.00 per share

Similar investments have merited a 13.45% discount rate. Assuming no taxes or transaction charges, what is the dollar-weighted rate of return for this series of investments?

A. 66.11%
B. 58.27%
C. The answer cannot be calculated from the information provided.

User Contributed Comments 14

User Comment
KD101 Simply speaking, bouhgt 10000 and sold 20000 - so no return can be calculated
hagi10 I came up with 66.11%.
Because for the unknown To, I placed 0. and that was not true.
tssverma does make sense to calculate and IRR when 10000 shares are brought and 20000 are sold
tenny45 What if the question asked for the TIME-WEIGHTED RATE OF RETURN? Would the answer still be undetermined?
yly13 if for time weighted, u'd be able to get the return between t1 and t3, overall would still be undetermined.
yly13 i meant t1 and t2
Cooltallgal I assume t0 is zero because the question said "Assuming there is no taxes or transaction charges so I guess the person is short selling the shares. I got 66.11% using the CF funtion of the BA II. lol. This question is a bit tricky!!!
surob Cooltallgal:Agreed
magicchip here is another theory: he owned 10000 shares at t0. If the discount rate is 13.45, you can use the cost per share at t1 and discount accordingly to arrive at price at t0. Then multiply by 10000 and viola, you have t0.
That will give an IRR of 9.917
That is assuming he had no shares prior to tt0, but since it's not stated, the answer is correct.
yesandy11 What about a stock split? That could be the case, the only clue it's not is t0...
robertucla Trick question!
johntan1979 Unknown is NOT the same as ZERO... sigh...
RickyL Unknown is a big 0
abs013 Haha
Bought 10,000
Sold 20,000
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Learning Outcome Statements

compare the money-weighted and time-weighted rates of return and evaluate the performance of portfolios based on these measures

CFA® 2025 Level I Curriculum, Volume 1, Module 1.