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
To learn more about Compound interest, refer to the link:
brainly.com/question/14331235
Answer: $15,000 gift from Diana’s mother for the down payment of their new house
Explanation: under the US code 102- Gifts and other inheritances. Gross income does not include the value of property acquired by gift. Money given as gifts to purchase a property are not taxable.
Answer:
ROA = 6.6%
ROE 14.52%
Explanation:
profit margin = net income / sale = 12%
assets turn over = sales / assets = 0.55
equity mutiplier = assets / equity = 2.2
ROE = return on equity = net income / equity
ROA = return on equity = net income / assets
we use the fraction properties to get ROE and ROA
ROA = 6.6%
We apply the same property to get ROE
ROE = 14.52%
Answer:
This distribution is not taxable since Raoul is not earning any money at all (dividend income = $0), but the tax basis on the stocks that he holds will vary.
Before the distribution, Raoul had 310 shares, each share with a $60 tax basis. After the distribution, Raoul will have 465 shares, each share with a $40 tax basis.
Answer:
5.47%
Explanation:
The computation of yield to maturity is shown in the attachment:
Given that
FV = $1000
PV = ($980)
PMT = 5% ÷ 2 × 1,000 = $25
Number of years = 5 years × 2 = 10 Years
The formula is shown below:
= Rate(NPER;PMT;-PV;FV;type)
The present value come in negative
So, after applying the above formula, the yield to maturity is
= 2.73 × 2
= 5.46%
Therefore with the help of spreadsheets (as attached), we could explain in a better manner.
