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Ede4ka [16]
3 years ago
9

What is the present worth of $1,095.50, payable in 20 years, if the discount rate (4%), compounds annually?

Business
1 answer:
pogonyaev3 years ago
4 0

Answer:

$500

Explanation:

The expression that describes the present net worth of an investment (P) given its future value (FV) at an annual rate (r) for a period of n years, compounded annually is:  

 P=\frac{FV}{(1+r)^n}

If the future value of an investment is $1,095.50 after 20 years at a rate of 4% per year, the present value (P) is:

P=\frac{1,095.50}{(1+0.04)^{20}}\\P= \$499.97

The present worth of this investment is roughly $500.

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You have just won the lottery and will receive $530,000 in one year. You will receive payments for 25 years, and the payments wi
polet [3.4K]

Answer:

Present value= $3,642,651.54

Explanation:

Giving the following information:

You have just won the lottery and will receive $530,000 in one year. You will receive payments for 25 years, and the payments will increase by 4 percent per year. The appropriate discount rate is 10 percent.

First, we need to calculate the final value using the following formula:

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

A= annual payment= 530,000

i= 0.04 + 0.10= 0.14

n= 25

FV= {530,000*[(1.14^25)-1]}/0.14

FV= 96,391,538.43

Now, we can calculate the present value:

PV= FV/(1+i)^n

PV= 96,391,538.43/ (1.14^25)

PV= $3,642,651.54

7 0
3 years ago
Lois has a balance of $970 on a credit card with an APR of 24.2%, compounded monthly. About how much will she save in interest o
Aleks04 [339]

Answer:

Lois will save $152.51 when she wil transfer her balance.

Explanation:

Amount to be paid in 1 year for original credit card is given as

P_1^{'}=P*(1+r_1)^t

Here P^{'}_1 is the amount to be paid after P is the balance which is 970, r_1 is the APR for first credit card which is 24.2% and t is compounding frequency which is 12 so

P_1^{'}=P*(1+r_1)^t\\P_1^{'}=970*(1+\dfrac{24.2}{12}\%)^{12}\\P_1^{'}=970*(1.0207)^{12}\\P_1^{'}=970*1.2707\\P_1^{'}=\$1232.61

Similarly for the second one the values are calculated as

P_2^{'}=P*(1+r_2)^t\\P_2^{'}=970*(1+\dfrac{10.8}{12}\%)^{12}\\P_2^{'}=970*(1.108)^{12}\\P_2^{'}=970*1.1135\\P_2^{'}=\$1080.10

The differnce of the two values is calculated as

P_1'-P_2'=1232.61-1080.10\\Difference=\$ 152.51

The difference is $152.51 which she could save.

7 0
3 years ago
Read 2 more answers
United Disposal, Inc., operates a hazardous waste disposal site that accepts waste transported by Ace Trucking Company from Gene
rosijanka [135]

Answer:

United Disposal, General Manufacturing Corporation, Ace Trucking Company, and/or Investment Properties.

Explanation:

When the EPA cleans up site, it generally uses money from its superfund and it is allowed to recover the money from the entity that caused the pollution (either directly or indirectly), the owner of the premise or the user of the premise. I.e. they can recover the funds from anyone involved. The EPA will try to recover the funds based on several aspects including the financial position of the entities involved. E.g. if United Disposal, Ace Trucking Company and General Manufacturing Company filed for bankruptcy, the EPA will recover the funds from Investiture Properties even if they were not responsible for the pollution.

8 0
3 years ago
"a manufacturer of deep-sea oil rigs may be least concerned about which of these marketplace forces?"
nekit [7.7K]

I guess the correct answer is New market entrants

A manufacturer of deep-sea oil rigs may be least concerned about new market entrants.

4 0
3 years ago
An online retailer uses complex data-mining software to evaluate the preferences and buying habits of its customers and makes de
boyakko [2]

Answer:

TRUE - Analytics

Explanation:

Analytics is the systematic process of finding, interpreting and communicating meaningful patterns found in data. Ot involves the examination of data using mathematical methods.

The online retailer used analytics in order to understand the consumers behaviors and then to be able to make decisions from result gotten rather than the use of "gut" feeling or intuition which isn't backed by data or facts.

The use of analytics in business making decisions generally improves profits margins, efficiency and risk management.

7 0
3 years ago
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