Answer:
Explanation:
(1)
FV = PV x (1 + r)^N
FV = $75,000
PV = $35,000
r = 8%
75,000 = 35,000 x (1.08)^N
(1.08)N = 2.1429
N ln 1.08 = ln 2.1429
N = ln 2.1429 / ln 1.08 = 0.33 / 0.033 = 10 years
(2)
FV = Annual payment, A x PVA
FV = $43,700
n = 6 years
A = 8,000
43,700 = 8,000 x PVA
PVA = 5.4625
PVIFA (6 years, r%) = 5.4172
r=3%.
(3)
PV = Annual payment, A x PVIFA (r%, n years)
PV = $18,000
n = 6 years
r = 9%
$18,000 = A x PVIFA (9%, 6 years) = A x 4.4859 [From PVIFA table]
A = $18,000 / 4.4859 = $4,012.57
Answer: There are two ways to make money from owning shares of stock: dividends and capital appreciation. Dividends are cash distributions of company profits
Answer:
$0, income statement s not affected.
Explanation:
The purchase and resale of treasury stock does not affect the income statement. When a company's treasury stock is resold, additional paid-in capital increases (if the stock were sold at a price above cost) or decreases (if the stock were sold at a price below cost).
Answer:
In order to find the present value of the bond we have to calculate the present value of investment A and subtract is from 1529. We can find the present value of A by discounting all its cash flows.
As the first cash flow is received today and the last will be received 3 years form now there will be a total of 4 cash flows
1) 218.19 (Will not be discounted as we are receiving it today in the present)
2) 218.19/1.0987 (Discount by 1 year as cash will be received in 1 year)
3) 218.19/1.0987^2 (Discount by 2 years as cash will be received in 2 years)
4) 218.19/ 1.0987^3 (Discount by 3 years as cash will be received in 3 years)
= 218.19 + 198.58 + 180.74+ 164.51 = 762.02
PV of Bond = 1529-762.09= 766.91
Semi annual coupons mean 2 payments a year. Bond B matures in 23 years which means a total of 46 payments (23*2). N=46. A coupon rate of 6.4 percent means that the bond pays $64 (0.064*1000) each year. $64 divided by 2 is 32 which is the amount of each semi annual payment Arjen receives. Pv= 766.91 FV = 1000
In a financial calculator put
PV= -766.91
N= 46
FV=1000
PMT= 32
and compute I
I is 4.38 and we will multiply it by 2 because the payments are semi annual. So we will get an I of 8.76
YTM= 0.0876
Explanation:
Answer:
C. All else being equal, the growth rate of the dividends is greater than 2%
Explanation:
The formula to calculate the fair price of a stock with a constant growth in dividends is as follows,
- P = D1 / r-g
- Where D1 is the dividend next period
- r is the required rate of return
- g is the growth rate in dividends
- P = 1.5 / 0.1 - 0.02 = 18.75
- We are taking 1.5 as D1 as it is the dividend per share DeepMind will pay next year.
So, we will be willing to pay more than 18.75 if the fair price per share today is greater than 18.75. We check all the 3 options.
A. say the required rate is 10.1%
- P = 1.5 / (0.101 - 0.02) = 18.52
- So if the required rate of return increases from 10%, the fair price per share is falling and we will be willing to pay less than 18.75 per share.
B. P = 1.2 / (0.1 - 0.02) = 15
- If D1 = 1.2,the fair price per share will be 15 which is less so we will not be willing to pay more than 15 for such share.
C. Say the growth rate in dividends is 2.1%
- P = 1.5 / (0.1 - 0.021) = 18.99
- The fair price per share increased to 18.99 if the growth rate in dividend increases by 0.1 percentage point. Thus, C is the correct answer