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Finance 301

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Submitted By coccon
Words 973
Pages 4
1/
This problem is about determining the amount of monthly payment given the Present value, APR, and number of payments. Therefore, the only equation that I have to rely on is:

And the result that I obtain from this equation is as follow:
|Scenario: |Monthly Payment |
|i. |$ 456.22 |
|ii. |$ 478.06 |
|iii. |$ 434.99 |
|iv. |$ 405.53 |
|v. |$ 481.56 |
|vi. |$ 394.50 |
|vii. |$ 549.29 |

But while doing it on Excel, I think it’s easier to separate the formula into two parts: ➢ First: I calculate the PVIFA separately. ➢ Second: Divided the Present Value by the PVIFA just calculated

Summary and Interpretation: Back to the problem, as the numbers show; the lower the APR, the lower the monthly payment will be. It’s because that you would not have to pay as much interest. Other Scenarios shows that the lower the present value (scenarios iv. and v.) the lower the monthly payment. The reason for that is; with the fixed number of payments, the less amount of debt that you have, the less you have to in each payment. Finally when the number of payments changes, it effects the amount that you’d have to pay in each payment as well. For example, if you decide to pay your debt in a longer period of time, obviously you would not have to pay as much.

2/
In this problem, beside Present Value issue, the Future Value issue is what we also have to deal with. Therefore, along with the Present Value equation that I used in the first problem, the Future Value equation would have to be used for this problem:
|Scenario |Amount of yearly deposit |
|i. |$ 859.26 |
|ii. |$ 443.94 |
|iii. |$ 945.19 |
|iv. |$ 1,570.63 |
|v. |$ 906.20 |

To make it simple, I also separate my calculation into 2 parts: ➢ First part is to calculate the Present Value 1 year before the client’s retirement. By knowing the desired amount of withdrawal, number of withdrawals and interest rate, all I have to do is to apply the Present Value equation. ➢ Second, because the Present Value 1 year from retirement is the Future Value after 40 years depositing, therefore in here I just have to apply it into the Future Value equation, and calculate the amount of deposit must be made each year.

Summary and Interpretation: From scenarios i. and ii., we can see that the higher the interest rate, the lower amount of yearly deposit must be made today. The reason for that is that, with higher interest rate, the amount of return yield would be higher, therefore we would not have to deposit as much but still reach the desired Future Value which will provide you with your desired withdrawal. From scenario iii., we can see that, everything else being equal, the higher amount of withdrawal made, the higher the deposit must be made as well. This is reasonable, because now you’d need more money in your saving, and in order to archive that money, you’d have to deposit more. Finally, scenario iv. and v. show that, the more withdrawals you want to make, the more deposit you have to make today (with everything else being equal). Also, the less number of deposits means the more deposit that must be made. That explains why in scenario iv. the amount of yearly deposit is considerably higher than the others.

3a/
This problem deals with the Bond pricing issue, therefore the equation that I have to use is:

* r = YTM

Interpretation: The main point of this problem is to focus on the Interest Rate Risk. All the numbers obtained from this problem can be explained by: The interest rate risk is greater, the longer to time to maturity with everything else being equal (compare the bond price between bond A and bond B). The interest rate risk is greater, the lower the coupon rate (with everything else being equal)

Summary:
The following graph demonstrates the Interest Rate Risk more specifically.

3b/
This problem deals with the Stock pricing issue. ➢ First of all, I calculate the price of stock at year 6 (at the end of year 6, stock price start to grow at a constant rate) by using the equation: P6 = D7/ (R-g), with D7 being calculated as shown in the attached table. ➢ After having the stock price for year 6, I calculate stock price at year 1 by discounting it back (detailed equation is shown in attached table.) ➢ Finally I discounted the stock price at year 1 along with the dividend paid at year 1 one more time to have to current stock price.

Summary and Interpretation: With everything else being equal, the fall of the dividend will cause the fall in the stock price (scenario i.) Because now the dividend will become less attractive to the investors, therefore the issuer has to lower the stock price in order to attract investors. With everything else being equal, the fall of the first 5 years growth rate will cause the fall in the stock price (scenario ii.) This will cause the fall in dividend pay of year 7, which directly affects the stock price at year 6. This chain effect causes the current stock price to fall as well. With everything else being equal, the increase in growth rate at year 7 will cause the increase in current stock price (scenario iii.) Because now the stocks become attractive to investors, therefore they will be willing to bid for it; and that is why the current stock price is relatively higher than the other scenarios.

Name: Toan Nguyen
Class: Financial Management
Professor: Arindam Bandopadhyaya

Computer Take home Assignment
-----------------------

PV = C 1-[1/(1+r)^t] r

FV = C [(1+r)^t] -1 r

PV = C 1-[1/(1+r)^t] + Face Value/ (1+r)^t r

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