In: Accounting
6. Exxon Mobil has preferred shares with a yield of 5.14%. If the quarterly dividend is $1.92, what is the value of a share?
7. You have accumulated $1,145 in debt by buying things on Amazon during quarantine. The minimum monthly payment is $22, If you make only the minimum payment, it will take you 94 months to pay it off. How much total interest will you pay?
8. You are buying a house and will take out a 30-year mortgage of $577,105. If the interest rate is 4.33% per year, what will be your monthly payment?
10. You will invest $209.86 per month. If your investment will grow to $17,955.73 in 5 years, how much total interest did you earn?
11. Annuity A and B are exactly the same except that annuity A has an interest rate of 4% and annuity B has an interest rate of 5%, which one has the higher present value?
6 | |||||||
Preferred yield | Dividend/Price of share | ||||||
5.14% | (1.92*4)/Price of share | ||||||
5.14% | 7.68/Price of share | ||||||
Price of share | 7.68/5.14% | ||||||
Price of share | $149.42 | ||||||
7 | |||||||
Total interest paid | Total amount paid - Value of debt | ||||||
Total interest paid | (22*94) - $1145 | ||||||
Total interest paid | 2068 - 1145 | ||||||
Total interest paid | $923 | ||||||
8 | |||||||
Monthly payment | Loan value/(1-(1+r^-n)/r) | ||||||
r is monthly interest rate and n is number of payments | |||||||
Monthly interest rate | 0.36% | 4.33%/12 | |||||
No of payments | 360 | 30*12 | |||||
Monthly payment | 577105/((1-(1.0036^-360))/0.0036) | ||||||
Monthly payment | 577105/201.3553 | ||||||
Monthly payment | $2,866.10 | ||||||
10 | |||||||
Total interest earned | Total investment value - Amount invested | ||||||
Total interest earned | 17955.73 - (209.86*5*12) | ||||||
Total interest earned | 17955.73 - 12591.60 | ||||||
Total interest earned | $5,364.13 | ||||||
11 | |||||||
The higher the interest rate the lower is the present value. | |||||||
Annuity A has lower interest rate of 4% then annuity B and thus would provide higher present value | |||||||