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Vanyuwa [196]
3 years ago
12

Reeves Incorporated is issuing a note payable to four individuals for $5,000 each. Which individual will end up paying the MOST

in interest, assuming all individuals pay in full on the maturity date?
A : Individual 4 has an annual interest rate of 3.8% and a maturity date of six months.
B : Individual 1 has an annual interest rate of 3.5% and a maturity date of 60 days.
C : Individual 2 has an annual interest rate of 4.75% and a maturity date of three months.
D : Individual 3 has an annual interest rate of 4.05% and a maturity date of one year.
Business
1 answer:
cricket20 [7]3 years ago
8 0

Answer: The individual 3 will pay more interest amount, with an interest of $202.5. Therefore option D is the correct option.

Explanation: This is calculated using the simple interest formula.

I = P × R × T

I is the interest

P is the principal

R is the rate per year

T is the period of interest

Option A: for individual 4;

I = $5,000 × 0.038 × 6/12 = $95

Option B: for the individual 1;

I = $5,000 × 0.035 × 60/365 = $28.8

Option C: for the individual 2;

I = $5000 × 0.0475 × 3/12 = $59.4

Option D: for individual 3;

I = $5000 × 0.0405 × 1 = $202.5

Therefore, from the calculations above, the individual that will be most in interest is individual 3, because the individual interest amount is more. That means option D is most correct

While individual 1 will pay less is

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NPV Project A = - $825.31

NPV Project B = $6119.89

So, at a discount rate of 8.5%, Project B should be accepted.

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So, at a discount rate of 13%, neither of the projects should be accepted.

Explanation:

One of the methods to evaluate a project is to determine the NPV or Net Present Value from the project. If a project provides a positive NPV after discounting the cash flows from the project at a set discount rate, the project should be accepted. If the project gives a negative NPV, the project should be discarded.

The NPV is calculated as follows,

NPV = CF1 / (1+r)  +  CF2 / (1+r)^2 + ... + CFn / (1+r)^n - Initial cost

Where,

  • CF1, CF2, ... represents the cash flows in year 1 and year 2 and so on
  • r is the discount rate

<u>At 8.5% discount rate</u>

NPV Project A = 31000/(1+0.085)  +  31000/(1+0.085)^2  +  31000/(1+0.085)^3 - 80000

NPV Project A = - $825.31

NPV Project B = 110000 / (1+0.085)^3  -  80000

NPV Project B = $6119.89

So, at a discount rate of 8.5%, Project B should be accepted.

<u>At 13% discount rate</u>

NPV Project A = 31000/(1+0.13)  +  31000/(1+0.13)^2  +  31000/(1+0.13)^3 - 80000

NPV Project A = - $6804

NPV Project B = 110000 / (1+0.13)^3  -  80000

Npv Project B = - $3764.48

So, at a discount rate of 13%, neither of the projects should be accepted.

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