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s2008m [1.1K]
2 years ago
12

2. Find the lump sum that must be set aside today to make quarterly payments of $9,000 for 10 years, assuming 8% compounded quar

terly. Find the interest
The present value is $113,800.68. The interest earned on this amount over 10 years would be $246,199.32.
The present value is $60,390.72. The interest earned on this amount over 10 years would be $113,800.68.
The present value is $246,199.32. The interest earned on this amount over 10 years would be $113,800.68.
The present value is $33,535.36. The interest earned on this amount over 10 years would be $60,390.72.
Business
1 answer:
Svetach [21]2 years ago
5 0

Answer:

i need help

Explanation:

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Manny and Irene will be retiring in fifteen years and would like to buy a Mexican villa. The villa costs​ $500,000 today, and ho
ki77a [65]

Answer:

Annual deposit= $37,714.37

Explanation:

Giving the following information:

The villa costs​ $500,000 today, and housing prices in Mexico are expected to increase by​ 6% per year. Manny and Irene want to make fifteen equal annual payments into an​ account, starting​ today, so there will be enough money to purchase the villa in fifteen years.

The account earns​ 10% per​ year.

First, we need to calculate the final value of the house with the following formula.

FV= PV*(1+i)^n

FV= 500,000*(1.06^15)=$1,198,279.1

Now, we can calculate the annual payments required:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (1,198,279.1*0.10)/[(1.10^15)-1]

A= $37,714.37

6 0
3 years ago
Farrell wants to retire in six years. To have sufficient assets to fund retirement, Farrell needs to accumulate an additional $4
Mademuasel [1]

Answer:

$73,070.5

Explanation:

Inflation erodes the value of money. It makes more quantity of money to required to buy the same basket of food and services in the future.

With inflation, to calculate the the quantity of Dollars needed in n years time, we use the formula;

Inflated amount = h × (1 + f)^n

h= amount required today, f - inflation rate, n- number of years

So if Farrell needs $400,000 in 6 years time in real terms, with an inflation of 5% per year, he would need to have a quantity of money equal to

1.05^6 × 400,000 = $536,038.3.

To provide for $536,038.3  in 6 years time, he would need to contribute into a sinking fund on a yearly basis, an equal amount denoted as "A" in the formula below:

FV = A ×  ((1+r)^n  - 1)/r

FV - 536,038.3, r - 8%, n = 6

536,038.3 = A × ((1+0.08 )^(6) - 1)/0.08)

536, 038.3 = A × 7.3359

536,038.3/7.3359 = A

$73,070.5  = A

Farrell should invest at the end of every year

$73,070.5

7 0
3 years ago
What is the value of an annuity due at the end of 15 years of quarterly deposits of $2,000.00 with terms of 8 percent compounded
elena55 [62]

Explanations:

The formula for future value given

deposit amount, A = 2000

deposit interest,  i = 8% annually = 8/4 = 2%, compounded quarterly

compounding period = quarterly

number of periods, n = 15 years = 4*15 = 60 periods (quarters)

The future value is given by:

FV = A*((1+i)^n-1)/i

= 2000*(1.02^60/0.02)

= $228103.08  (rounded to the nearest cent).

The difference in the answer choice is probably due to the teacher's calculator does not have sufficient accuracy.

4 0
3 years ago
Lippo In. reports the following capital structure on its balance sheet: Debt $ 20 m, Preferred stock $ 10 m, Common stock $ 20 m
wel

Answer:

hfsukfsutsitsufsutsitsuts

Explanation:

yrautstis

3 0
3 years ago
Suppose that the residents of Vegopia spend all of their income on cauliflower, broccoli, and carrots. In 2006 they buy 100 head
docker41 [41]
Market prices for 2006.
100 heads of cauliflower = $200 => 1 head of cauliflower = $200 / 100 = $2.
50 bunches of broccoli = $75 => 1 bunch of broccoli = $75 / 50 = $1.50
500 carrots = $50 => 1 carrot = $50 / 500 = $0.10
Total cost of items of food = $2 + $1.50 + $0.10 = $3.60

<u>Market prices for 2007</u>.
75 heads of cauliflower = $225 => 1 head of cauliflower = $225 / 75 = $3.
80 bunches of broccoli = $120 => 1 bunch of broccoli = $120 / 80 = $1.50
500 carrots = $100 => 1 carrot = $100 / 500 = $0.20
Total cost of items of food = $3 + $1.50 + $0.20 = $4.70

CPI of 2006 = $3.60 / $3.60 x 100 = 100
CPI of 2007 = $4.70 / $3.60 x 100 = 130.56

Inflation rate in 2007 = (130.56 - 100) / 100 x 100 = 30.56%
7 0
3 years ago
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