Question

In: Finance

1.Find the interest rate on a loan charging $810 simple interest on a principal of $3750...

1.Find the interest rate on a loan charging $810 simple interest on a principal of $3750 after 6 years.​

2.Find the term of the compound interest loan. (Round your answer to two decimal places.)

4.9% compounded quarterly to obtain $8600 from a principal of $2000.

Solutions

Expert Solution

1)Interest per year 810/6= 135

Simple interest = Amount * Rate*Time

135 = 3750 *r * 1

   135 = 3750*r

   r = 135/3750

      = .036 or 3.6%

2) Quarterly rate = 4.9/4 = 1.225%      [4 quarters in a year]

Term (number of quarters) = IN[Future value/present value]/IN(1+r)

                  = IN[8600/2000]/IN[1+.01225]

                  = IN 4.3/ IN 1.01225

                   = 1.45862/ .012176

                   = 119.79468

Number of years =119.79468 / 4

           = 29.95 years

Term : 29.95

  

  


Related Solutions

How to Find the principal, rate, or time using the simple interest formula? example.
How to Find the principal, rate, or time using the simple interest formula? example.
Loan Amortization Schedule for Investment Interest rate Year Beginning Principal Principal Payment Interest Payment Ending principal...
Loan Amortization Schedule for Investment Interest rate Year Beginning Principal Principal Payment Interest Payment Ending principal Tax Savings 0.07 1 15,000 a. 1,050 b. c. 0.07 2 0.07 3 0.07 4 0.07 5 0.07 Fill in the blanks. Explain how to get the principal and ending principal.
A financial institution is charging a 13 percent interest rate on a $15,000,000 loan. The bank...
A financial institution is charging a 13 percent interest rate on a $15,000,000 loan. The bank also charged $150,000 in fees to originate the loan. The bank has a cost of funds of 9 percent. The borrower has a five percent chance of default, and if default occurs, the bank expects to recover 90 percent of the principal and interest. What is the risk of the loan using the Moody's Analytics model? Briefly discuss the importance of this model.
If the interest rate on the loan is 7%, what is the amount of principal in the second payment?
You borrow $12,000 today. The loan will be repaid in annual payments over 10 years. If the interest rate on the loan is 7%, what is the amount of principal in the second payment?
5. QRS Bank is charging a 12 percent interest rate on a $5,000,000 loan. The bank...
5. QRS Bank is charging a 12 percent interest rate on a $5,000,000 loan. The bank also charged $100,000 in fees to originate the loan. The bank has a cost of funds of 8 percent. The borrower has a five percent chance of default, and if default occurs, the bank expects to recover 90 percent of the principal and interest. What is the risk of the loan using the Moody's Analytics model? Briefly discuss.
Calculate the simple interest. (6 marks) Principal Rate per Annum Time Simple Interest $1356.78 8% 6...
Calculate the simple interest. Principal Rate per Annum Time Simple Interest $1356.78 8% 6 years $685.43 9.25% 7 months $1595.85 7.75% 185 days Calculate the principal. Simple Interest Rate per Annum Time Principal $1275.00 8.5% 3 years $585.90 9.25% 5 months $210.75 8.75% 63 days Calculate the interest rate per annum correct to 1 decimal place. Principal Simple Interest Time Rate per Annum $10,563.77 $7394.64 7 years $6854.25 $433.53 11 months $450.00 $7.22 66 days Calculate the simple interest, then...
Suppose you negotiate a one-year loan with a principal of $1000 and the nominal interest rate...
Suppose you negotiate a one-year loan with a principal of $1000 and the nominal interest rate is currently 7 % . You expect the inflation rate to be 3 % over the next year When you repay the principal plus interest at the end of the year, the actual inflation rate is 2.5 % . Compute the ex ante and ex post real interest rate , who benefits from this unexpected decreasc in inflation? Who loses? Calculate and explain.
The $800 million loan carried a 6% interest rate and had the following repayment of principal...
The $800 million loan carried a 6% interest rate and had the following repayment of principal schedule: Year 1: $132 million Year 2: $32 million Year 3: $57 million Year 4: $82 million Year 5: $82 million Year 6: $415 million What is the present value of the term loan? What would the present value be if the compnay had chosen permanent debt instead of a term loan?
Loan 1: $6,180.26 with interest rate of 6.550% Loan 2: $11,346.96 with interest rate of 5.410%...
Loan 1: $6,180.26 with interest rate of 6.550% Loan 2: $11,346.96 with interest rate of 5.410% Loan 3: $14,044.21 with interest rate of 6.840% A) You have decided you would like to clear out all of your student loans in 10 years by making monthly payments on your loans. How much are you paying monthly to clear your debt in 10 years? B) You found a company that will consolidate each individual loan at 5.200% What is your new monthly...
What is the total interest for a $1,500 1-year simple interest amortized loan at 6% interest,...
What is the total interest for a $1,500 1-year simple interest amortized loan at 6% interest, with monthly payments
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT