Answer and Explanation:
As per the data given in the question,
1)
Fair value per share = $20.4
Number of Share = 2 million
Fair value of award = Fair value per share ×Number of Share
= $20.4 × 2 million
= $40.8 million
2) No Entry
3)
Compensation expense($40.8 million÷4 years) $10.2 million
To Paid in capital - restricted stock($20.4-$10.2) $10.2 million
(Being the compensation expense is recorded)
4)
Fair value per share = $20.4
Share granted = 2 million
(100%-10%) forfeiture rate = 90%
fair value of award = $20.4×2×90%
= $36.72 million
Answer:
The 1-day rate of return on the index = 5.36%
Explanation:
Index Value = Sum of (Outstanding Shares*Share Price)
q p mv q1 p1 mv1
640,000 16 10240000 640000 20 12800000
540,000 24 12960000 540000 22 11880000
240,000 55 <u>13200000</u> 240000 57 <u>13680000</u>
<u>36400000 </u> <u>38360000</u>
Note: q/q1 = no of shares, p = price per share, mv/mv1 = market value, p1 = changed price per share
Return = (Index Value Today - Index Value Yesterday)/Index Value Yesterday
Return = (38360000 - 36400000) / 36400000
Return = 0.05385
Return = 5.36%
From the problem statement it is clear that here we need to find out simple interest rate.
One do not get interest on any investment made at the end of tenure.
Putting this mathematically:
Let amount at the end of 5th year as A
Simple Interest for 5 years, SI = 750 *5
SI = 3750
Hence A = 10000 +3750
A= 13750
Let rate of return = R
Tenure t = 5
But,
A = P(1 + R*t/100)
13750 = 10000( 1+ R*5/100)
13750 = 10000 + 50000R/100
3750 = 500R
R = 3750/500
R = 7.5 %
Hence rate of return is 7.5% per annum (answer)
