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alexandr1967 [171]
3 years ago
12

On Joe Martin’s graduation from college, Joe’s uncle promised him a gift of $12,000 in cash or $900 every quarter for the next 4

years after graduation. Assume money could be invested at 8% compounded quarterly. a. Calculate the present value of options. (Do not round intermediate calculations. Round your answer to the nearest cent.) b. Which offer is better for Joe? Option 1 Option 2
Business
1 answer:
iris [78.8K]3 years ago
4 0

Answer:

Instructions are below.

Explanation:

Giving the following information:

Option 1:

$12,000 cash now

Option 2:

$900 every quarter for 4 years.

Interest rate= 8% compounded quarterly

We need to determine the present value of option 2.

First, we need to calculate the future value of the investment. We will use the following formula:

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

A= cash flow= 900

n= 4*4= 16

i= 0.08/4= 0.02

FV= {900*[(1.02^16)-1]} / 0.02

FV= $16,775.36

Now, we determine the present value:

PV= FV/(1+i)^n

PV= 16,775.36/(1.02^16)

PV= $12,219.94

It is more profitable to accept option 2. It provides the highest present value.

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Q 2.29: Val-Tek has current assets of $1,700,000 and current liabilities of $900,000. If they pay $100,000 owed to a creditor, w
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Answer:

B. The cost of utilities is deductible for AGI

Explanation:

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3 years ago
Vivian goes to an auction and sees a rare antique lamp that is an identical match to one she already has. At the proper time she
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B

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2 years ago
A series of monthly cash flows is deposited into an account that earns 12% nominal interest compounded monthly. Each monthly dep
nirvana33 [79]

Answer:

The amount left in the account after last withdrawal is $61,945

Explanation:

The first monthly deposit occurred on June 1, 2008 and the last monthly deposit will be on January 1, 2015 = 80 deposit

Monthly deposit = 2,100

Interest rate = 12% / 1% per month

Firstly, we calculate the future worth of the monthly deposit

FW = A(F/A, i, n)

A = 2,100, i = 1%, n= 80

FW = $2100*[(1+0.01)^80 - 1 / 0.01]

FW = $2100*[2.216715 - 1 / 0.01]

FW = $2100*(121.671)

FW = $255,509.10

We calculate the effective interest rate

i(effective) = (1 + i nominal monthly interest rate)^n - 1

i `%, n = 3(no of months in quarter)

i (effective) = (1+0.01)^3 - 1

i (effective) = (1.01)^3 - 1

i (effective) = 1.030301 - 1

i (effective) = 0.030301

i (effective) = 3.0301%

The effective quarterly interest rate is 3.0301%

We calculate the future worth of the quarterly drawings

FW = A[(1+i)^n - 1 / i]

A = 5,000(drawing), i = 3.0301%, n = 26(number of drawings)

FW = 5,000*[(1+0.030301)^26 - 1 / 0.030301]

FW = 5,000*[2.17303717 - 1 / 0.030301]

FW = 5,000*(38.71282)

FW = $193,564.10

The future worth of the quarterly withdrawal is $193,564.10

We calculate the amount left in the account after last withdrawal

Amount left in account = FW(monthly deposits) - FW(quarterly drawings)

Amount left in account = $255,509.10 - $193,564.10

Amount left in account = $61,945

Thus, the amount left in the account after last withdrawal is $61,945

6 0
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