Answer:
The question is not complete,find below complete questions:
If you purchased a $50 face value bond in early 2017 at the then current interest rate of .10 percent per year, how much would the bond be worth in 2027? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. In 2027, instead of cashing the bond in for its then current value, you decide to hold the bond until it doubles in face value in 2037. What annual rate of return will you earn over the last 10 years?
The bond is worth $50.50 in the year 2027
The annual rate of return is 7.07%
Explanation:
The future value of the bond is given by the below formula:
FV=PV*(1+r)^N
where PV is the present of the bond of $50
r is the rate of return of 0.10 percent=0.001
N is the duration of the bond investment of 10 years
FV=50*(1+0.001
)^10
FV=$50.50
However for the face of the bond to double i.e to $100, the rate of return can be computed thus:
r=(FV/PV)^(1/N)-1
where FV=$100 (double of $50)
FV=$50.50(current value in 2027)
N=10
r=($100/$50.50)^(1/10)-1
r=0.070707543
r=7.07%
Answer: 60.98%
Explanation:
Probability that it is a brand 1 DVD player that needs repair work = Probability of brand 1 DVD needing repairs / Probability that a DVD player will need fixing while under warranty
Probability of brand 1 DVD needing repairs = Brand 1 sales percentage * Percentage of brand 1 needed repair
= 50% * 25%
= 12.5%
Probability that a DVD player will need fixing while under warranty = (50%* 25%) + (30% * 20%) + (20% * 10%)
= 20.5%
Probability that it is a brand 1 DVD player that needs repair work = 12.5% / 20.5%
= 60.98%
Answer:
There are 211 quarters and 216 dimes
Explanation:
To answer this question, we need to properly understand what a dime is and what a quarter is. A quarter is 25 cents while a dime is 10 cents in value.
Let the number of dimes present be d and the number of quarters present be q.
We are told that he has 5 more dimes than quarters.
Mathematically, this means that:
d - q = 5 or d = q+ 5 .......(I)
The total value there is $74.35. In cents, this has a value of 7435 cents.
Mathematically:
25q + 10d = 7435......(ii)
We substitute what we have in 1 in 2
25q + 10(q+5) = 7435
25q + 10q + 50 = 7435
35q + 50 = 7435
35q = 7435-50
35q = 7385
q = 7385/35
q = 211
Recall, d = q+ 5 ; d = 211 + 5 = 216
Answer:
b. Nina will prefer L to M.
Explanation:
Convex utility of wealth indicates that an individual tends to be comfortable with taking risks.
A concave utility function shows an aversion for risk.
A mean preserving spread occurs when one variable has greater variance than another but they both have the same mean.
In the given scenario prospect L will have a greater variance than prospect M since it is a mean preserving spread.
Given Nina's risk taking preference she will most likely take prospect L that offers more variability over prospect M
