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kow [346]
3 years ago
6

You have just received notification that you have won the $1.4 million first prize in the lottery. However, the prize will be aw

arded on your 100th birthday, 70 years from now. (Wow, you’re older than I generally think!) The appropriate discount rate is 8%. What is the present value of your winnings?a. $4,288.16
b. $6,404.20
c. $15,309.91
d. $23,333.33
e. $25,000.00
Business
1 answer:
eimsori [14]3 years ago
7 0

Answer:

b. $6,404.20

Explanation:

Value of prize = $1.4 million = $1,400,000

Amount to be received in years = 70 years

Interest Rate  = 8%

Future value = Present value x ( 1 + interest rate )^-number of years

FV = PV x ( 1 + r )^n

1,400,000 = PV ( 1 + 0.08 )^70

1,400,000 = PV ( 1.08 )^70

1,400,000 / ( 1.08 )^70 = PV

PV = $6404.20

So The present value of the winning is $6,404.20.

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The Outlet Mall has a cost of equity of 16.8%, a pretax cost of debt of 8.1%, and a return on assets of 14.5%. Ignore taxes. Wha
krok68 [10]

Answer:

0.36

Explanation:

Cost of equity of 16.8%,

Pretax cost of debt of 8.1%

Return on assets of 14.5%

As per NN proposition: Cost of equity = Return on asset + D/E ratio (Return on asset-Cost of debt)

0.168 = 0.145 + D/E (0.145 - 0.082)

0.168 - 0.145 = D/E (0.064)

0.023 =  D/E (0.064)

D/E = 0.023/0.064

D/E = 0.359375

D/E = 0.36

Thus, the debt-equity ratio is 0.36

8 0
3 years ago
Discussion Topic
Ganezh [65]

Answer:

Clarity and accuracy are important parts of writing because it helps people understand what the writer is talking about. You don't want people to read your report or proposals and be confused.

Explanation:

5 0
3 years ago
A deposit of $1000 at 4% interest compounded continuously will grow to v(t) = 1000 e^0.04 dollars after t year. Find the average
elixir [45]

Answer: 20,816.215

Explanation:

Given that:

A deposit of $1000 at 4% interest compounding is defined by the growth function:

v(t) = 1000e^0.04t

Where t = number of years.

Find the average value during the first 40 years (that is, from time 0 to time 40.)

(That is t = 0,...,40)

For ease, we can use a python list comprehension to get our values.

v = [1000*2.7182818**0.04*t for t in range(41)]

V gives a list of the value of the deposit from year 0 till 40 years after the deposit.

Average = sum of compounding deposits / number of years

Sum of compounding deposits = sum(v) = $853464.8344

Number of years = len(v) = 41

Hence, average = $853464.8344 / 41

Average = $20,816.215

6 0
3 years ago
There are two aspects of efficiency that the equilibrium of market for loanable funds exhibits. Select the TWO statements that c
Mashutka [201]

Answer:

a. Savers who lend money are willing to accept a lower minimum interest rate than potential savers who do not lend money.  

b. Investment projects that are financed by savers have larger rates of return than projects that do not receive financing.  

Explanation:

Loanable funds refer to the aggregate amount of money that all sectors, entities and individuals within an economy have decided to keep as an investment, instead of spending on personal consumption, by saving and giving them out as loans to borrowers.  

The market for loanable funds is in equilibrium when the supply of loanable funds by the saver is equal to demand for loanable funds by the borrowers at a given interest rate.

When the market for loanable funds is in equilibrium, efficiency is maximized because projects that have higher rates of return are given priority to be funded first before the projects with lower rates of return are funded. The reason is that savers that have lowest costs of lending provides funds for the projects that have highest return rates in equilibrium. However, potential saver who do not lend money will prefer a higher interest rates.

Therefore, the correct options related to the two aspects of efficiency that the equilibrium of market for loanable funds exhibits are as follows:

a. Savers who lend money are willing to accept a lower minimum interest rate than potential savers who do not lend money.  

b. Investment projects that are financed by savers have larger rates of return than projects that do not receive financing.  

5 0
3 years ago
On August 1, 2020, Ascent Corp. borrowed $80,000 cash on an 8-month note payable with a 7% annual rate that requires Ascent to p
Ipatiy [6.2K]

Answer and Explanation:

The computation is shown below:

Interest payable:

= Borrowed amount × rate of interest × given months ÷ total months

= $80,000 × 7% × 5 ÷ 12

= $2,333.33

And,

Interest expense:

= Borrowed amount × rate of interest × given months ÷ total months

= $80,000 × 7% × 3 ÷ 12

= $1,400

So here for recording the payment of interest the interest payable is debited for $2,333.33

The same is to be considered

6 0
3 years ago
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