A present obligation of P 20,000 is to be paid by 5 equal end of the year payments of which includes the principal and the interest of the debt. If money is worth 12% compounded continuously, what is the amount of each repayment?
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10. A present obligation of P 20,000 is to be paid by 5 equal end of the year payments of which includes the principal and the interest of the debt. If money is worth 12%
compounded continuously, what is the amount of each repayment?
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- 27. How much do eight ₱ 64,055 quarterly payments amount at present, if the interest rate is 2 compounded quarterly?2. What is the balance in an account at the end of 10 years if $25,000 is deposited today and the account earns 4% interest, compounded annually? quarterly?1) A child’s grandparents have opened a ₱586702 savings account for the child on the day of her birth. The account pays 1.7% compounded semiannually. The child will be allowed to withdraw the money when she reaches the age of 21. What will the account be worth at that time? Round your answer to 2 decimal places. 2) What simple interest rate (in %) is equivalent to 6.5% compounded quarterly if money is invested for 8 years? Round your answer to 2 decimal places.
- 6. Alex invested a certain amount to a business and promised to pay him back with 1.8 times his original investment. They agreed to have it compounded monthly within 9 years. What is the nominal rate of interest r in percent?What is the present equivalent of a uniform series of quarterly payments of $4,500 each for 8 years and a quarterly payments $2,000 of the next 5 years if the interest rate is 8% compounded bimonthly? Note: Round off your interest rate to five decimal places Round your answer to 2 decimal places.7. On his sixth birthday, the boy was left with inheritance. The inheritance will be paid in a lump sum of P 25,000 on his 21st birthday. What is the present value of the inheritance, if it is invested at 6% annually?
- 3. If you deposit $1000 in an account that pays 5% interest, compounded annually, how much will you have at the end of 10 years? 50 years? 100 years? What if this is compounded Semi annually in 10 years? 50 years? 100 years?What uniform annual payment for 12 years is equivalent to receiving all of the following:$ 3,000 at the end of each year for 12 years20,000 today4,000 at the end of 6 years800 at the end of each year forever10,000 at the end of 15 yearsUse an 8% interest rate.5. Mr. Jo needs P 4,000,000 immediately to pay for a new home. Having insufficientfund for this, he borrows P 2,000,000 from an insurance company and repay the loanevery six months for 15 years, the first payment being at the end of 8 years from now.If the insurance company charged him 8% compounded semiannually, how much isthe amount of each payment?
- Suppose that $5,000 is placed in a bank account at the end of each quarter over the next 9 years. What is the future worth at the end of 9 years when the interest rate is 14 compounded at the given intervals? (a) Quarterly (b) Monthly (c) ContinuouslyCory Manciagli is planning to retire in 20 years. Money can be deposited at 6% compounded quarterly. What quarterly deposit must be made at the end of each quarter until Cory retires so that he can make a withdrawal of $40,000 semiannually over the first 10 years of his retirement? Assume that his first withdrawal occurs at the end of six months after his retirement. (Hint: Apply concept of economic equivalence at the end of 20 years).If you borrow $4,000, what single payment must you make after 5 years to repay the principal and interest at 10%? Alternatively, what uniform annual payment would be required? 2. The interest rate charged on a small loan is 1.5% per month. What are the corresponding 'nominal' and 'effective' rates per annum? 3. Using the interest rate of 3% compounded annually, what is the amount that will be accumulated in a sinking fund at the end of 15 years if $200 is deposited in the fund at the beginning of each of the 15 years if $200 is deposited in the fund at the beginning of each of the 15 years?