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satela [25.4K]
3 years ago
13

Keisha owns a house worth $275,000 with a mortgage of $195,000. She owns a car worth $12,000 and has $7,500 in car loans. She ha

s $3,000 in investments, $2,700 in a bank account, and owes $1,500 on a credit card. What is Keisha’s net worth?
Business
1 answer:
Rainbow [258]3 years ago
6 0

Answer:  $88,700

Explanation:

Given that,

House value = $275,000

Mortgage = $195,000

Car value = $12,000

Car loans = $7,500

Investments = $3,000

Bank account = $2,700

Owes on a credit card = $1,500

Keisha’s net worth:

= House value - Mortgage + Car value - Car loans + Investments + Bank account - Owes on a credit card

= $275,000 - $195,000 + $12,000 - $7,500 + $3,000 +  $2,700 -  $1,500

= $88,700

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The before-tax IRR is 37.93%

The after-tax IRR is 19.32%

The internal rate of return (IRR) is defined as the return rate on a project investment project over a periodic lifespan.

It is also referred to as the net present value of an investment project which is zero. It can be expressed by using the formula:

\mathbf{0= NPV \sum \limits ^{T}_{t=1} \dfrac{C_t}{(1+1RR)^t}- C_o}

where;

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  • \mathbf{C_o=} Total initial investment cost

<h3>(a)</h3>

For the before-tax IRR:

The cash outflow = $120000

Cash Inflow for the first three years = $60000

Cash inflow for the fourth year = $60000 + $20000 = $80000

∴

Using the above formula, we have:

\mathbf{0 = \dfrac{60000}{(1+r)^1}+ \dfrac{60000}{(1+r)^2}+ \dfrac{60000}{(1+r)^3}+ \dfrac{80000}{(1+r)^4}}

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r = 37.93%

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For the after-tax IRR:

The cash outflow = $120000

Recall that:

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For the first three years; the cash inflow is:

\mathbf{=60000 -(60000\times 0.3)  } \\ \\ \mathbf{ = 60000 -18000}  \\ \\ \mathbf{ = 42000}

For the fourth year, the cash inflow is

\mathbf{=80000 -(60000\times 0.3)  } \\ \\ \mathbf{ = 80000 -18000}  \\ \\ \mathbf{ = 62000}

Using the above IRR formula:

\mathbf{0 = \dfrac{42000}{(1+r)^1}+ \dfrac{42000}{(1+r)^2}+ \dfrac{42000}{(1+r)^3}+ \dfrac{62000}{(1+r)^4}}

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Learn more about the internal rate of return (IRR) here:

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Korte Company reported the following information for 2014:
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Korte Company

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Cost of goods sold                      (1,050,000)

Gross profit                                      450,000

Operating expenses                      (165,000)

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The yield to maturity on a bond is:
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Answer:

The correct answer is I, II and III.

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Expiration Yield

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