Answer:
The answer is below
Explanation:
Probability distribution are statistical function that shows all the possible outcomes of a random variable within a given range of values.
a) The mean (
) of a probability distribution of a discrete random variable is:
![\bar x=\Sigma\ [xP(x)]](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5CSigma%5C%20%5BxP%28x%29%5D)
= (0 * 0.8) + (1 * 0.15) + (2 * 0.04) + (3 * 0.01) = 0.26
b) The standard deviation (σ) of a probability distribution of a discrete random variable is:
![\sigma=\sqrt{ \Sigma\ [(x-\bar x)^2*P(x)]}\\\\\sigma=\sqrt{(0-0.26)^2*0.8+(1-0.26)^2*0.15+(2-0.26)^2*0.04+(3-0.26)^2*0.01} \\\\\sigma=0.577](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B%20%5CSigma%5C%20%5B%28x-%5Cbar%20x%29%5E2%2AP%28x%29%5D%7D%5C%5C%5C%5C%5Csigma%3D%5Csqrt%7B%280-0.26%29%5E2%2A0.8%2B%281-0.26%29%5E2%2A0.15%2B%282-0.26%29%5E2%2A0.04%2B%283-0.26%29%5E2%2A0.01%7D%20%5C%5C%5C%5C%5Csigma%3D0.577)
Answer:
Coupon (R) = 6.8% x 10,000 = $680
Face value (FV) = $10,000
Number of times coupon is paid in a year (m) = 2
No of years to maturity = 8 years
Yield to maturity (Kd) = 8% = 0.08
Po = R/2(1- (1 + r/m)-nm) + FV/ (1+r/m)n
m
r/m
Po = 680/2(1-(1+0.08/2)-8x2) + 10,000/(1 + 0.08/2
)8x2
0.08/2
Po = 340(1 - (1 + 0.04)-16) + 10,000/(1 + 0.04)16
0.04
Po = 340(1-0.5339) + 10,000/1.8730
0.04
Po = 3,961.85 + 5,339.03
Po = $9,300.88
Explanation:
The current market price of a bond is a function of the present value of semi-annual coupon and present value of the face value. The present value of semi-annual coupon is obtained by multiplying the coupon by the present value of annuity factor at 8% for 8 years. The present value of face value is obtained by discounting the face value at the discount factor for 8 years. The addition of the two gives the present value of the bond. All these explanations have been captured by the formula.
Answer: 4. Demand will shift inwards, lower rates and decreasing lending.
Explanation:
People demand loanable funds for spending on consumption and investment. If there is a recession, people will buy less goods and companies will invest less as well.
This will reduce the demand that people and companies have for loanable funds. The demand will therefore shift inwards to the left and lead to lower rates and decreased lending.
Answer:
This has no effect on the period-end balance sheet.
Explanation:
A statement of the assets, liabilities, and capital of a business or other organization at a particular point in time, detailing the balance of income and expenditure over the preceding period.
According to the question asked the balanced sheet was prepared before the pay period came so this effect will not affect the balance sheet.
