Question

Today, you sold 540 shares of stock and realized a total return of 6.3 percent. You purchased the shares one year ago at a price of $24 a share and have received a total of $117 in dividends. What is your capital gains yield on this investment?

A. 5.92 percent
B. 5.40 percent
C. 6.64 percent
D. 6.21 percent

Answer 1

Answer:

B. 5.40 percent

Explanation:

Let today's price per share be $X

Total return = [ (New value + Dividend - Old value) / Old price ] *100

Old value = $24 *540 = $12,960

Next, plug in the numbers to the formula;

0.063 = [ (540X + 117  - 12,960)/ 12,960 ]

0.063 = $[\frac{540X-12,843}{12,960} ]$

multiply both sides by 12,960;

0.063 *12,960 = 540X - 12,843

816.48 = 540X - 12,843

Add 12,843 from both sides and solve for X;

816.48 + 12,843 = 540X

13,659.48 = 540X

Divide both sides by 540;

13,659.48/ 540 = X

X = 25.295

Therefore, today's price per share = $25.30

Capital gains yield= (Today's price - Original price) /Original price

Capital gains yield = (25.295 -24) / 24

=0.05396 or 5.40%

Therefore, Capital gains yield is 5.40%