Answer:
a-1) Pv = 52549
a-2) Pv = 56822
b-1) Fv = 77570
b-2 Fv = 83878
Explanation:
b-1) Future value:
S= Sum of amount of annuity=?
n=number of fixed periods=5 years
R=Fixed regular payments=13200
i=Compound interest rate= .081 (suppose annualy)
we know that ordinary annuity:
S= R [(1+i)∧n-1)]/i
= 13200[(1+.081)∧5-1]/.081
=13200(1.476-1)/.081
= 13200 * 5.8765
S = 77570
a.1)Present value of ordinary annuity:
Formula: Present value = C* [(1-(1+i)∧-n)]/i
=13200 * [(1-(1+.081)∧-5]/.081
=13200 * (1-.6774)/.081
=13200 * (.3225/.081)
=52549
a.2)Present value of ordinary Due:
Formula : Present value = C * [(1-(1+i)∧-n)]/i * (1+i)
= 13200 * [(1- (1+.081)∧-5)/.081 * (1+.081)
= 13200 * 3.9822 * 1.081
= 56822
b-2) Future value=?
we know that: S= R [(1+i)∧n+1)-1]/i ] -R
= 13200[ [ (1+.081)∧ 5+1 ]-1/.081] - 13200
= 13200 (.5957/.081) -13200
= (13200 * 7.3544)-13200
= 97078 - 13200
= 83878
Answer:
0.2706 ; 0.05265 ; 0.1353
Explanation:
Given that :
λ = 2
According to the poisson distribution formula :
P(x = x) = (λ^x * e^-λ) / x!
P(x = 1) = (2^1 *e^-2) / 1!
P(x = 1) = (2 * 0.1353352) = 0.2706
P(x ≥ 5) = 1 - P(x < 5)
1 - P(x < 5) = 1 - [p(x = 0) + p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4)]
We obtain and add the individual probabilities. To save computation time, we can use a poisson distribution calculator :
1 - P(x < 5) = 1 - (0.13534+0.27067+0.27067+0.18045+0.09022)
1 - P(x < 5) = 1 - 0.94735 = 0.05265
P(x ≥ 5) = 1 - P(x < 5) = 0.05265
Probability that no emails was received :
x = 0
P(x = 0) = (2^0 *e^-2) / 0!
P(x = 0) = (1 * 0.1353352) / 1 = 0.1353
Answer
Price of bond = 17.96825
Explanation:
Bond price = ∑(C / 
)+ P /
where
n = no. of years
C = Coupon payments
YTM = interest rate or required yield
P = Par Value of the bond
put values in above equation
price = (5.66%/2) × 2000 × (0.31746) + ( 2000 ÷ 4.595×
)
= 17.96825
Answer: a. $180,000
Explanation: Given that the fair market value of the 5000 shares of stock was $180,000 at that time; Pat should include this in information with proof of it's fair value at the time in schedule A of the form
