The difference between the monthly payment of R and S is equal to $48.53 by following the compound interest formula. Thus, Loan R's monthly loan amount is greater than Loan S.
<h3>What is a Compound interest loan?</h3>
Combined interest (or compound interest) is the loan interest or deposit calculated based on both the original interest and accrued interest from earlier periods.
![\rm\,For\,R\\\\P = \$\,17,550\\r\,= 5.32\%\\Time\,= n= 7\,years\\Amount\,paid= [P(1+\dfrac{r}{100\times12})^{n\times12} ]\\=[ 17,550 (1+\dfrac{5.32}{100\times12})^{7\times12} ]\\= [ 17,550 (\dfrac{12.0532}{12})^{84} ]\\\\= [ 17,550 (1.00443^{84} ]\\\\= \$ 25,440.48\\\\Total\,monthly\,payment = \rm\,\dfrac{25,440.48}{84}\\\\= \$\, $302.86\\\\](https://tex.z-dn.net/?f=%5Crm%5C%2CFor%5C%2CR%5C%5C%5C%5CP%20%3D%20%5C%24%5C%2C17%2C550%5C%5Cr%5C%2C%3D%205.32%5C%25%5C%5CTime%5C%2C%3D%20n%3D%207%5C%2Cyears%5C%5CAmount%5C%2Cpaid%3D%20%5BP%281%2B%5Cdfrac%7Br%7D%7B100%5Ctimes12%7D%29%5E%7Bn%5Ctimes12%7D%20%5D%5C%5C%3D%5B%2017%2C550%20%281%2B%5Cdfrac%7B5.32%7D%7B100%5Ctimes12%7D%29%5E%7B7%5Ctimes12%7D%20%5D%5C%5C%3D%20%5B%2017%2C550%20%28%5Cdfrac%7B12.0532%7D%7B12%7D%29%5E%7B84%7D%20%5D%5C%5C%5C%5C%3D%20%20%5B%2017%2C550%20%281.00443%5E%7B84%7D%20%5D%5C%5C%5C%5C%3D%20%5C%24%2025%2C440.48%5C%5C%5C%5CTotal%5C%2Cmonthly%5C%2Cpayment%20%3D%20%5Crm%5C%2C%5Cdfrac%7B25%2C440.48%7D%7B84%7D%5C%5C%5C%5C%3D%20%5C%24%5C%2C%20%24302.86%5C%5C%5C%5C)
![\rm\,For\,S =\\\\P=\,\$ 15,925\\r\,= 6.07\%\\T=n= 9\,years\\\\Amount\,paid\,= [P(1+\dfrac{r}{100\times12})^{n\times12} ]\\\\\= [15,925(1+\dfrac{0.0607}{12})^{9\times12} ]\\\\\\= [15,925(1+\dfrac{0.0607}{12})^{108} ]\\\\=[15,925(1.7247.84)} ]\\\\\= \$27,467.19\\\\Total\,monthly\,payment =\dfrac{\rm\,\$\,27,469.19}{108}\\\\= \$ 254.326\\\\](https://tex.z-dn.net/?f=%5Crm%5C%2CFor%5C%2CS%20%3D%5C%5C%5C%5CP%3D%5C%2C%5C%24%2015%2C925%5C%5Cr%5C%2C%3D%206.07%5C%25%5C%5CT%3Dn%3D%209%5C%2Cyears%5C%5C%5C%5CAmount%5C%2Cpaid%5C%2C%3D%20%5BP%281%2B%5Cdfrac%7Br%7D%7B100%5Ctimes12%7D%29%5E%7Bn%5Ctimes12%7D%20%5D%5C%5C%5C%5C%5C%3D%20%5B15%2C925%281%2B%5Cdfrac%7B0.0607%7D%7B12%7D%29%5E%7B9%5Ctimes12%7D%20%5D%5C%5C%5C%5C%5C%5C%3D%20%5B15%2C925%281%2B%5Cdfrac%7B0.0607%7D%7B12%7D%29%5E%7B108%7D%20%5D%5C%5C%5C%5C%3D%5B15%2C925%281.7247.84%29%7D%20%5D%5C%5C%5C%5C%5C%3D%20%5C%2427%2C467.19%5C%5C%5C%5CTotal%5C%2Cmonthly%5C%2Cpayment%20%3D%5Cdfrac%7B%5Crm%5C%2C%5C%24%5C%2C27%2C469.19%7D%7B108%7D%5C%5C%5C%5C%3D%20%5C%24%20254.326%5C%5C%5C%5C)
The difference between the monthly payment of R and S is equal to $48.53.
Hence, Loan R's monthly payment is greater than the loan's monthly payment by $48.53
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Answer:
0.76
Explanation:
So, in this particular question we are given that that there are two assets which are the; [1]. stock fund and [2]. a long-term government and corporate bond fund.
From the question/problem, we have that the Expected ret and the std. dev. for the Stock fund is 18% and 25% respectively. Also, the Expected ret and std. dev. for Bond fund 11% and 18% respectively.
Thus, the investment proportion in the minimum variance portfolio of the bond fund = 1 - [ ( 18%)² - 0.4 × 25% × 18%) ÷ ( 25%)² + (18%)² - 2 × 0.4 × 25% × 18%. = 1 - [0.0144 ÷ 0.0609 ] = 1 - 0.24 = 0.76.
Answer:
Resilience
Explanation:
In psychology, the term resilience refers to the process of coping with trauma, tragedy or adversity and adapt to it. But it doesn't only refer to the process of adaptation but actually it involves personal growth. In other words, the person grows thanks to the adversity, the person also sees problems as an opportunity to learn and become a better person.
In this example, Martin sees opportunity where the rest of the world sees problems, he made money and lost it but he's wealthy again. We can see that Marty has coped with adversity (the recession) but he adapted to it and he found a way to go through that and earn a living and become wealthy again, thus, this is an example of high resilience.
Answer:
Corporate earnings are subject to double taxation.
Explanation:
A corporation can be defined as a business that is owned by its shareholders. These various shareholders have the responsibility of putting in place board of directors to supervise the daily activities of the organization.
The ownership of a corporation by shareholders is fully represented by their shares of stock.
Corporate form of business organization assures the owners of their personal asset protection. Various organisations operating in a corporate form find it easier to borrow money, this provides a wide opportunity for the growth of the company.
In order to buy a car worth $25,000 a monthly payment of $622.12 is required.
Mortgages are one type of loan that frequently has a structure that calls for a stream of identical monthly payments. The lender can assess whether the customer's budget can support equal monthly payments by doing so.
Suppose the monthly payment is M.
With 9 percent APR, the effective monthly rate is 9%/12 = 0.75%.
There will be 12 x 4 years, or 48 monthly payments.
The face value of the loan must be equal to the present value of these monthly payments, or
![{}\sum_{t=1}^{48}{\frac{M}{(1 + 0.75\%)^t}} = 25,000, {}](https://tex.z-dn.net/?f=%7B%7D%5Csum_%7Bt%3D1%7D%5E%7B48%7D%7B%5Cfrac%7BM%7D%7B%281%20%2B%200.75%5C%25%29%5Et%7D%7D%20%3D%2025%2C000%2C%20%7B%7D)
which yields M = 622.12.
If you only paid interest, the monthly payment would be calculated as follows: principal * monthly interest rate (9% /12) = 25,000*0.75% = 187.5.
The results would be that after five years, you would still owe the whole amount of $25,000 and would have to pay $11,250 in interest.
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