Question

In: Finance

King Solomon is a rich farmer in Tetebia, a town in the Asou Municipal Assembly. He...

King Solomon is a rich farmer in Tetebia, a town in the Asou Municipal Assembly. He owns over 100,000 hectares of farmlands. However, he fears the worst might happen and wants to do some investments to secure his future and that of his children. He is contemplating some long term investments he could undertake to secure his future and that if his children. He is now 50 years old and he plans to retire in 10 years from active farm work. He expects to live for another 25 years after he retires –that is, until age 85. He was advised by a friend that an investment in the financial market will help him plan his retirement well. He has no idea about financial markets and how they operate. You recently graduated and have just reported to work as an investment advisor at the brokerage firm of Cenden Ltd. King Solomon has approached your company for advice. Your boss after a discussion with King Solomon could gather the following information. King Solomon wants his first retirement payment to have the same purchasing power at the time he retires as GHȼ 40,000 has today. He wants all of his subsequent retirement payments to be equal to his first retirement payment. (Do not let the retirement payments grow with inflation: King Solomon realizes that the real value of his retirement income will decline year by year after he retires.) His retirement income will begin the day he retires, 10 years from today, and he will then receive 24 additional annual payments. Inflation is expected to be 5% per year from today forward. He currently has GHȼ 100,000 saved up, and he expects to earn a return on his savings of 8% per year with annual compounding.

Again, he wants to have a secure university education for his lovely daughter Daisy. His daughter is now 13 years old. She plans to enroll at the University of Professional Studies, Accra in 5 years, and it should take her 4 years to complete her education. Currently, the cost per year (for everything – her food, clothing, tuition, books, transportation, and so forth) is GH¢ 12,000 per year. This cost is expected to remain constant throughout the four-year university education. The daughter recently received GH¢ 7,500 from her grandfather’s (King David’s) estate; this money will be invested at a rate of 8% to help meet the costs of Daisy’s education. The rest of the costs will be met by money King Solomon will deposit in a savings account which also earns 8 percent compound interest per year. He will make 5 equal deposits into the account, one deposit per annum starting one year from now until his daughter starts university. These deposits will begin one year from now. (Assume that school fees are paid at the beginning of the year).

Again, King Solomon is interested in buying a bond issued by Zenzo Pharma Ltd. Zenzo Pharma intends to use the proceeds of the bonds to finance the production of its new vaccine for COVID 19. The bond has a face value of GH¢10,000 at a coupon rate of 12% and a term to maturity of 10 years. The bond expects to pay coupons annually. Included in the bond indenture are call and sinking fund provisions. The required rate of return on the market for bonds with similar features is 18% per annum. Your boss had asked you to advice King Solomon based on the information he provided

Required
a. Explain to King Solomon what financial markets mean and which three (3) financial instruments he can invest in.                                                                                   
b. To the nearest cedi, how much must he save during each of the next 10 years (with equal deposits being made at the end of each year, beginning a year from today) to meet his retirement goal? (Note: Neither the amount he saves nor the amount he withdraws upon
retirement is a growing annuity.)                                                                           
c. What will be the present value of the cost of 4 years of education at the time the daughter
Daisy turns 18?                                                                                                                      
d. What will be the value of the GH¢ 7,500 that Daisy received from her grandfather’s estate
when she starts college at 18?                                                                                   
e. If King Solomon is planning to make the first of 5 deposits one year from now, how large must each deposit be for him to able to put his daughter through college?            
f. Explain to King Solomon what call provisions and sinking fund provisions are and how these provisions are expected to affect the risk of the bond                                 
g. Which value will you place on a bond of Zenzo Pharma Ltd?                              

Solutions

Expert Solution

A) Any marketplace where the trading of securities occurs, including the stock market, bond market, forex market, derivatives market, etc is termed as Financial Market.

When a company is in requireemnet of funds, it can either take a loan or can raise money from Financial Market. In orde to raise money from Financial Market, company has to list its secuirities in Financial Market. These securities can be in form of shares, debentures, etc. If investors wishes to invest in the securities listed by the company, they can purchase the same through Financial market. Now once all the securities of the company has been subscibed to, then Financial Market gives the money to the company and allot the securities to the investors.

Once the securities are alloted to investors, investors then can sell these securities to another investros (either at a higher price to earn a profit, or even at a lower price). These transaction are also done via Financial Market.

Hence, in the financial market, trading of the securities occurs.

Three types of Financial instruement in which King Solomon can invets are shares, bonds, futures. There are many other instruments also in which he can invest, provided he is confortable with the risk and return of that instrument.

B) Todays value = 40,000

Inflation Rate = 5% per year

No of years = 10

Value of 40,000 after 10 years = = 65,155.79

So, his first annual payment will be 65,155.79 and he want to withdraw the same for 24 more years.

Also, he would want to invest x amount every year for 10 years from now. These investments and withdrawls will be done at the end of the year.

Also, he would also earn 8% intrest every year.

Hence, x would be equal to 6229.40. The working of the same is as below -

Year Opening Balance (A) Interest @ 8% on Opening Balance (B) Invest (C) Withdraw (D) Closing Balance (A+B+C-D)
40                                -             100,000.00
41              100,000.00                          8,000.00    6,229.40           114,229.40
42              114,229.40                          9,138.35    6,229.40           129,597.15
43              129,597.15                       10,367.77    6,229.40           146,194.32
44              146,194.32                       11,695.55    6,229.40           164,119.27
45              164,119.27                       13,129.54    6,229.40           183,478.21
46              183,478.21                       14,678.26    6,229.40           204,385.87
47              204,385.87                       16,350.87    6,229.40           226,966.14
48              226,966.14                       18,157.29    6,229.40           251,352.83
49              251,352.83                       20,108.23    6,229.40           277,690.46
50              277,690.46                       22,215.24    6,229.40           306,135.09
51              306,135.09                       24,490.81    6,229.40           336,855.30
52              336,855.30                       26,948.42    6,229.40           370,033.12
53              370,033.12                       29,602.65    6,229.40           405,865.17
54              405,865.17                       32,469.21    6,229.40           444,563.79
55              444,563.79                       35,565.10    6,229.40           486,358.29
56              486,358.29                       38,908.66    6,229.40           531,496.35
57              531,496.35                       42,519.71    6,229.40           580,245.46
58              580,245.46                       46,419.64    6,229.40           632,894.50
59              632,894.50                       50,631.56    6,229.40           689,755.46
60              689,755.46                       55,180.44    6,229.40    65,155.79           686,009.51
61              686,009.51                       54,880.76    65,155.79           675,734.49
62              675,734.49                       54,058.76    65,155.79           664,637.46
.... ..... .... .... ... ...
80              260,148.16                       20,811.85    65,155.79           215,804.22
81              215,804.22                       17,264.34    65,155.79           167,912.78
82              167,912.78                       13,433.02    65,155.79           116,190.01
83              116,190.01                          9,295.20    65,155.79              60,329.43
84                60,329.43                          4,826.35    65,155.79                      (0.00)

C) Current per annum cost of university = 12,000. After giving Inflation effect of 5% per annum for 5 years (when she will enroll for university) the cost would be = = 15,315.38

She will take 4 years to complete, and the cost of subequent year will be same, i.e., 15,315.38.

PV of the same 5 years from now (i.e. when Daisy will turn 18 years) is as below (let Re = Inflation Rate = 5%) -

Year Cost PV @ 5% PV
18    15,315.38           1.00    15,315.38
19    15,315.38           0.95    14,586.08
20    15,315.38           0.91    13,891.50
21    15,315.38           0.86    13,230.00
Total    61,261.52           3.72    57,022.95

Hence, PV of the the cost of 4 years of education at the time Daisy turns 18 is 57,022.95.

Assumptions - 1) Re = Inflation Rate = 5%.

2) Education Cost is to be paid at start of every year. Hence, cost of 1st year is taken as it is only.

D) Value of 7500 5 years from now = = 11019.96

E) Currently Daisy has 7500 from her grandfather. Now, his father will make 5 equal annual deposits in her account (at end of every year) to help her to go through the university. Interest rate will be 8% pa. Hence, per annum, he has to deposit 7459.96. The working of the same is as follows -

Year Opening Balance (A) Interest @ 8% on Opening Balance (B) Invest (C) Withdraw (D) Closing Balance (A+B+C-D)
14        7,500.00                              600.00 7,459.96     15,559.96
15     15,559.96                          1,244.80 7,459.96     24,264.73
16     24,264.73                          1,941.18 7,459.96     33,665.87
17     33,665.87                          2,693.27 7,459.96     43,819.10

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