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Komok [63]
3 years ago
15

Suppose someone takes out a home improvement loan for $30,000. The annual interest on the loan is 6% and is compounded monthly.

The monthly payment is $600. Let an denote the amount owed at the end of the nth month. The payments start in the first month and are due the last day of every month.
Give a recurrence relation for an. Don't forget the basis (also called the initial conditions).
Business
1 answer:
dsp733 years ago
4 0

Answer:

Explanation:

Monthly interest = 6 / 12 = .005

principal amount a₀ = 30000

an denote the amount owed at the end of the month

amount owed at the end of one month

a₁= 1.005 x a₀ - 600

amount owed at the end of 2 nd  month

a₂= 1.005 x a₁ - 600

amount owed at the end of nth month

an =  1.005x an-1  - 600 for n ≥ 1

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So the answer to the above question is  (B) bounded rationality-Christin is experiencing the dilemma of bounded rationality

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What is operating leverage, and how does it affect a firm's business risk?a. Show the operating break-even point if a company ha
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What is the role of the three questions of economics?
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Read 2 more answers
CAPM and Valuation. You are considering acquiring a firm that you believe can generate expected cash flows of $10,000 a year for
UkoKoshka [18]

Answer:

The value of the firm or worth of the firm is $147058.82 rounded off to 2 decimal places

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We first need to calculate the required rate of return for this firm that will be used as the discount rate in the valuation of the firm using the discounted cash flow methods.

Using the CAPM we can calculate the required rate of return as,

r = rRF + Beta * (rM - rRF)

Where,

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So,

r = 0.04 + 0.4 * (0.11 - 0.04)

r = 0.068 or 6.8%

As the cash flows the firm can generate are expected to remain constant through out and they are generated after equal interval of time, this can be treated as a perpetuity.

The present value of a perpetuity is calculated as follows,

Present Value of perpetuity = Cash Flow / r

Present value of perpetuity = 10000 / 0.068

Present value of perpetuity = $147058.8235

So, the value of the firm or worth of the firm is $147058.82 rounded off to 2 decimal places

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