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1. Take a loan 250,000 interest rate is 5% APR but compounded and paid monthly.

ID: 2753665 • Letter: 1

Question

1. Take a loan 250,000 interest rate is 5% APR but compounded and paid monthly. Take a 30 year mortgage. What is your monthly payment?
2. Currently owe $100,000 on your home. Mortgage monthly payment is 1050 and APR 4%. What is the coming month interest and what is the principal?
3. You believe a portfolio has normally distributed returns with expected value of 15% and standard deciation of 10%. Tbis next year you believe that approximately 68% of possible returns Are within _____ 5 and 25% -5 and 35% Precisely 15% 10 and 15 % 10 and 20% 1. Take a loan 250,000 interest rate is 5% APR but compounded and paid monthly. Take a 30 year mortgage. What is your monthly payment?
2. Currently owe $100,000 on your home. Mortgage monthly payment is 1050 and APR 4%. What is the coming month interest and what is the principal?
3. You believe a portfolio has normally distributed returns with expected value of 15% and standard deciation of 10%. Tbis next year you believe that approximately 68% of possible returns Are within _____ 5 and 25% -5 and 35% Precisely 15% 10 and 15 % 10 and 20%
2. Currently owe $100,000 on your home. Mortgage monthly payment is 1050 and APR 4%. What is the coming month interest and what is the principal?
3. You believe a portfolio has normally distributed returns with expected value of 15% and standard deciation of 10%. Tbis next year you believe that approximately 68% of possible returns Are within _____ 5 and 25% -5 and 35% Precisely 15% 10 and 15 % 10 and 20%

Explanation / Answer

1. Monthly payment = interest /12 * principal amount * (1 + interest /12)number of payment

(1 + interest/12)number of payment - 1

= 0.0042 * 250000 * (1+0.0042)30year * 12month

(1 + 0.0042)30 year * 12 month - 1

= 0.0042 * 250000 * (1.0042)360 / (1.0042)360 - 1

= 4746 / 4.52-1

= 4746 / 3.52

= $1348.30