E9-20 (Algo) Determining an Educational Fund LO 9-7 Judge Drago has decided to set up an educational fund for his favorite granddaughter, Emma, who will start college in one year. The judge plans to deposit an amount in a savings account that pays 8 percent annual interest. He wants to deposit an amount that is sufficient to permit Emma to withdraw $20,400 for tuition starting in one year and continuing each year for a total of four years. (FV of $1, PV of $1, FVA of $1, and PVA of $1) Note: Use the appropriate factor(s) from the tables provided. Required: How much should he deposit today to provide Emma with a fund to pay for her college tuition? Note: Round your answer to nearest whole dollar. Deposit amount
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- u.A fund donated by wealthy person to IECEP to provideannual scholarships to deserving ECE students. Thefund will grant Php 5 000 for each of the first five years,Php 8 000 for the next five years and Php 10 000 foreach year thereafter. The scholarship will start oneyear after the fund is established. If the fund earns 8%interest, what is the amount of the donation? 3. Ifpayments are made at end of the interest period. 4. Ifpayments are made at beginning of the interestperiod. include a cash flow diagra,Draw a timeline in your notes to practice, then use the one below to help you! The Cambrian Foundation collected $49,431.67 to set up a fund for graduating students for the next 10 years. This was set up to help reduce the burden of student loans upon graduation. The first graduating class is will be eligible to apply for the funding in three years. What is the size of the end-of-year funding available if money earns 3.3% compounded semi-annually?Provide manual solutions for below mentioned problems. A social worker deposits a uniform amount of P12,000 at the end of each year in order to get a lump sum of money by the time she will retire at the end of 20 years. If the compound amount factor for this annuity is equal to 36.78559. 1. Compute the nominal interest rate.2. Determine how much will she receive at the end of 20 years.3. Determine the worth of the sinking fund factor in this fund invested. Answer. 1. 6% 2. P441,427.08 3. 0.027184557
- 35 The City of Sandwich purchased a swimming pool from a privateoperator as of April 1, 2020, for $400,000, of which $200,000 wasprovided by a one-time contribution from the General Fund, and$200,000 was provided by a loan from the First National Bank, securedby a note. The loan has an annual interest rate of 6 percent, payablesemiannually on October 1 and April 1; principal payments of $100,000are to be made annually, beginning on April 1, 2021. The city has acalendar year as its fiscal year. During the year ended December 31,2020, the following transactions occurred related to the City ofSandwich Swimming Pool:1.The amounts were received from the City General Fund and the FirstNational Bank.2.A loan was provided in the amount of $125,000 from the Water UtilityFund to provide working capital.3.The purchase of the pool was recorded. Based on an appraisal, itwas decided to allocate $100,000 to the land, $200,000 toimprovements other than buildings (the pool), and $100,000 to…Linda O’Shay deposited $50,000 in a savings account as a perpetual trust. She believes the account will earn 8% annual interest during the first 10 years and 4% interest thereafter. The trust is to provide a uniform end-of-year scholarship at the university. What uniform amount could be used for the student scholarship each year, beginning at the end of the first year and continuing forever?4. Izki City borrowed OMR1,800,000 secured by an 8-year mortgage note. The cash from the note was used to purchase a building for vehicle and equipment maintenance. Show how these two transactions should be recorded in the General Fund.
- A small business owner has $57,485.03 set aside in a fund to be used for a project that will take 10 years. He plans to withdraw money from this fund at the end of each quarter. The fund earns annual 4.8% compounded quarterly. Unfortunately, the business owner faces difficulty dealing with the fund manager, who says that the money has to be locked in for 2 years (no withdrawals during that period). Thus, the start of the project will be deferred for 2 years, but still will take 10 years after that deferred time.How much can the business owner withdraw from this fund at the end of each quarter after the lock in period?(c) As part their responsible business initiative, Micron Industries wants to establish a trust fund to assist under-privileged students in their local community in pursuing 4-year undergraduate degree programs. The tuition fee is estimated to be $35,000 for the first year but is expected to increase by 5% per year thereafter. Required:i. Assuming this trust fund will earn 7.5% interest per annun, calculate the amount required at the start of one student’s college journey to fund his/her full tuition. ii. If Micron Industries would like to sponsor the first student in two years’ time and they currently have $125,000 earmarked for investment, what annual rate of interest is required to accumulate the amount needed as calculated in part (i)?Newman Hitchcock is 37 years old today and he wishes to accumulate $536,000 by his 60 th birthday so he can retire to his summer place on Lake Hopatcong. He wishes to accumulate this amount by making equal deposits on his 37 th through his 59 th birthdays. What annual deposit must Newman make if the fund will earn 10% interest compounded annually? (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.) I put 65845.4009 but it says that isn't correct so I'm confused, I used my calculator and not the tables.
- The National Research Council is considering the establishment of a perpetuity to fund faculty positions at a local university. The ongoing cost will be $9500 at the end of each month. If the money can earn 6.3% compounded monthly in perpetuity, what amount to be invested now is required to fund the perpetuity? Select one: a. $301,587 b. $1,819,024 c. $160,294 d. $612,675 e. $1,809,524A foundation supports an annual campus seminar by using the earnings of a $50,000 gift. It is felt that 10% interest will be realized for 10 years but that plans should be made to anticipate an interest rate of 6% after that time. What uniform annual payment may be established from the beginning, to fund the seminar at the same level into infinity?PART A As a responsible corporate citizen, Carrium Insights Inc set up a college fund for under-privileged students in its community 10 years ago. Carrium deposited $2,500 monthly over the 10 year period in an account earning 6% compounded monthly; no withdrawals were allowed during this funding period. Required: (a) Compute the value of this college fund today, after 10 years’ worth of monthly deposits. (b) If Carrium deposits the value of this fund (answer in (a) above) into a new account earning 8% interest annually, how much would Carrium be able to withdraw at the beginning of each year over the next 10 years to assist qualifying students? (c) The CEO has indicated that he would like the fund to be set up with $500,000 instead of the current amount (answer from (a) above). How long will it take to accumulate $500,000 if Carrium deposits the amount from part (a) in the same account earning 8% interest annually? PART B The Accounting Manager is seeking to analyse the company’s…