Answer:value of stock for the required return of 12 % = $53
Explanation:
Given
current dividend just paid = $3.00
dividend to grow at constant rate of 6%
required rate of return =12%
to calculate the value of stock for the requitred return of 12 % , we use the dividend growth model which is
Current price = dividend ( 1 + growth rate )/ (required rate -growth rate )
= 3 x (1+6%) / 12-6 = 3 x 1.06 /6% =3.18/0.06= $53
Therefore value of stock for the requitred return of 12 % ,= $53
Answer:
Answer :The annual incentive fees according to Black Scholes Formular =2.5
Explanation:
a)Find the value of call option using below parameter
current price (st)=$71
Strike price(X)=$78
Rf=4%
std=42%
time=1
value of call option=15.555
Annual incentive=16% x 15.555=2.5
The annual incentive fees according to Black Scholes Formular =2.5
(b) The value of annual incentive fee if the fund had no high water mark and it earned its incentive fee on its return in excess of the risk-free rate? (Treat the risk-free rate as a continuously compounded value to maintain consistency with the Black-Scholes formula.)
current price (st)=71
Strike price(X)=78
Rf=(e^4%)-1 = 4.08%
std=42%
time=1
value of call option=17.319
Annual incentive=16% x 17.319=2.77
Answer:
- An ordinary annuity of equal time earns less interest than an annuity due.
- When equal payments are made at the end of each period for a certain time period, they are treated as ordinary annuities.
- A perpetuity is a series of equal payments made at fixed intervals that continue infinitely and can be thought of as an infinite annuity.
Explanation:
With an Annuity due, the payments are made at the beginning of the period as opposed to an ordinary annuity which is paid at the end. This difference gives the Annuity due more time to accrue interest which leads it to earning more interest than an ordinary annuity of the same time.
As earlier mentioned, Ordinary annuities involve payments made at the end of each period. Annuities are always equal payments so the second statement holds true.
A Perpetuity is indeed an annuity because of the fixed payments characteristic that it has. It is therefore called a Perpetual/ Infinite Annuity.
Answer:
How much do you make in interest in a year?
<u>$ 1100</u>
How much would you need to have made for your spending power to keep up with inflation in that year?
<u>$ 1782
</u>
How much buying power did you lose in that year because of inflation?
<u>$ 682
</u>
Explanation:
Your interest formula is given to you.
Interest in a year = principal (the amount invested) * rate (the interest rate) * period (the time you're measuring)
Interest = 55,000 * 2% * 1 year = 55,000 * 0.02 * 1 = $1,100
How much would you need to have made for your spending power to keep with inflation? Your interest rate would have needed to match the inflation rate, otherwise prices are going up faster than you're saving.
Required interest = 55,000 * 3.24% * 1 year = 55,000 * 0.0324 * 1 = $1,782
How much buying power did you lose? The difference between your required interest and your actual interest.
Buying power lost = 1,782 - 1,100 = $682. You lost this much in buying power.
Hope that helped :)
