Answer:
Instructions are listed below
Explanation:
Giving the following information:
Suppose you just bought an annuity with 9 annual payments of $15,400 at the current interest rate of 11 percent per year.
First, we need to determine the final value with the following formula:
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
Then, we can calculate the present value with the following formula:
PV= FV/(1+i)^n
A)i=11%
FV= {15400*[(1.11^9)-1]}/0.11
FV= $218,125.17
PV= 218,125.17/(1.11^9)= $85,270.53
B) i= 6%
FV= {15400*[(1.06^9)-1]}/0.06
FV= $176,966.27
PV= 176,966.27/(1.06^9)= $104,746.06
C) i= 16%
FV= $269,785.02
PV= $70,940.77
Answer:
The accrued interest on the note at December 31, 2019 is $206.25
Explanation:
Fashion Jewelers accepted a 5-month, 11% note for $7,500.
The amount of interest for 1 year = 11% x $7,500 = $825
The amount of interest for 1 month = $825/12 = $68.75
From October 1, 2019 to December 31, 2019, Fashion Jewelers has accepted the note for 3 months.
The accrued interest on the note at December 31, 2019 = $68.75 x 3 = $206.25
The budget constrain is how much of each good can Joe's buy and it's given by:
Income = P_f * Q_f +P_s * Q_s
P_f = Price_of_Food
Q_f = Quantity_of_Food
P_s = Price_of_Shelter
Q_s = Quantity_of_Shelter
In case a):
300 = 5*Q_f(a) + 100*Q_s
in case b):
300 = 10*Q_f(b) + 100*Q_s
To draw each line, you can make a graphic in which the x axis is Q_s and y axis is Q_f
set Q_f = 0 and solve for Q_s which gives => Q_s = 3 so, in the x axis the line will start in Q_s = 3
the same, and solve for Q_f and it'll give =>
Q_f(a) = 60
Q_f(b) = 30
So, from the start in x axis in Q_s = 3 you draw the line (a) to the y axis Q_f(a) = 60 and you draw the line (b) to the y axis Q_f(b) = 30
To get the oportunity cost you have to divide the cost of what is given up (food) by what is gained (shelter).
Oportunity_Cost_Food(a) = 5/100 = 0.05
Oportunity_Cost_Food(b) = 10/100 = 0.10
As you can see, the oportunity cost of food increase