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Finance

If your answer does not match the answers given below, checkwith the instructor. There is always the chance, albeit small, thatyour answer is correct and there is a typo below.)

1.         Bank A offers tolend you money at 10 percent compounded monthly, Bank B at 11percent compounded quarterly, and Bank C at 12 percent compoundedannually. Calculate the effective rates and state which bank offersthe lowest cost of borrowed capital.

2.         What are theinterest payments on a $200 loan if the contractual rate is 12%,the loan will be paid back in four uniform interest and principalpayments at the end of the next four years, and the remainingbalance method of calculating interest will be used (fullyamortized)? What is the actuarial, annual percentage, and theeffective interest rate? (AIR, APR, ie =12%)

3.         What are theinterest payments on a $1,000 loan if the contractual rate is 12%,the loan will be paid back in four uniform principal payments atthe end of the next four years, and the remaining balance method ofcalculating interest will be used? What is the actuarial, annualpercentage, and the effective interest rate? (AIR, APR,ie =12%)

4.         A farmer needsto borrow $1,000. The local PCA will make a 2?year loan fullyamortized at 10% (annual rate) with quarterly payments. A $10 loanfee and stock purchase is required. The borrower stock requirementis the lesser of $1,000 or 2% of loan principal. Assume thatsufficient money is borrowed to cover the $1,000, the fee and thestock requirement. Also assume that the stock requirement isreturned to borrower when the loan is paid off and the last debtpayment can be reduced by the stock amount. How much money needs tobe borrowed? What is the dollar amount of the stock requirement?What is the quarterly loan payment? What is the actuarial, annualpercentage, and the effective interest rate? (AIR =2.83%, APR =11.32%, ie = 11.81%)

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4.0 Ratings (808 Votes)

1. computation

Bank Interest Compounding Number of period Effective Rate
A 10 Monthly 12 12.68%
B 11 Quarterly 4 12.55%
C 12 Annually 1 12.00%

So bank C offer the load at lower rate.

2. Calculation of interest payments:

Loan Amount 200
Number of Year 4
Interest Rate 12.00%
Installation (PMT Formula in Excel) 65.85

Interest payments i each years are:

Years Beg. Balance Payment Interest Repayment of principal Ending Balance
1 200 $65.85 24 $41.85 $158.15
2 $158.15 $65.85 18.98 $46.87 $111.28
3 $111.28 $65.85 13.35 $52.49 $58.79
4 $58.79 $65.85 7.06 $58.79 $0.00
Total $263.39 $63.39 $200.00 $328.23

And, effective interest rate = total interest payment / loan amount:

Overall interest Rate 31.69%
Annual Effective interest Rate/4 7.92%

3.

Loan Amount 1000
Number of Year 4
Interest Rate 12.00%
Installation (PMT Formula in Excel) 329.23
Years Beg. Balance Payment Interest Repayment of principal Ending Balance
1 1000 $329.23 120 $209.23 $790.77
2 $790.77 $329.23 94.89 $234.34 $556.42
3 $556.42 $329.23 66.77 $262.46 $293.96
4 $293.96 $329.23 35.28 $293.96 $0.00
Total $1,316.94 $316.94 $1,000.00 $1,641.15
Overall interest Rate 31.6938%
Annual Effective interest Rate/4 7.92344%

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If your answer does not match the answers given below, checkwith the instructor. There is always the chance, albeit small, thatyour answer is correct and there is a typo below.)1.         Bank A offers tolend you money at 10 percent compounded monthly, Bank B at 11percent compounded quarterly, and Bank C at 12 percent compoundedannually. Calculate the effective rates and state which bank offersthe lowest cost of borrowed capital.2.         What are theinterest payments on a $200 loan if the contractual rate is 12%,the loan will be paid back in four uniform interest and principalpayments at the end of the next four years, and the remainingbalance method of calculating interest will be used (fullyamortized)? What is the actuarial, annual percentage, and theeffective interest rate? (AIR, APR, ie =12%)3.         What are theinterest payments on a $1,000 loan if the contractual rate is 12%,the loan will be paid back in four uniform principal payments atthe end of the next four years, and the remaining balance method ofcalculating interest will be used? What is the actuarial, annualpercentage, and the effective interest rate? (AIR, APR,ie =12%)4.         A farmer needsto borrow $1,000. The local PCA will make a 2?year loan fullyamortized at 10% (annual rate) with quarterly payments. A $10 loanfee and stock purchase is required. The borrower stock requirementis the lesser of $1,000 or 2% of loan principal. Assume thatsufficient money is borrowed to cover the $1,000, the fee and thestock requirement. Also assume that the stock requirement isreturned to borrower when the loan is paid off and the last debtpayment can be reduced by the stock amount. How much money needs tobe borrowed? What is the dollar amount of the stock requirement?What is the quarterly loan payment? What is the actuarial, annualpercentage, and the effective interest rate? (AIR =2.83%, APR =11.32%, ie = 11.81%)

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