QUESTION TWO
L. Mwanza owns a perpetuity that pays K2, 000 with the first
payment being...
QUESTION TWO
L. Mwanza owns a perpetuity that pays K2, 000 with the first
payment being made in 6 years. Find the present value with 4% per
annum rate.
You invested K3, 000 four years ago in a share of E. Nyirenda
Ltd. It is now worth K5, 000. Calculate the interest rate.
A share of Zambezi Plc grows at a rate of 5% per annum
compounded annually. Calculate how long it will take the current
present value of K100 per share to double in
value.
You wish to purchase a car that costs K200 000. You can borrow
the funds at 8% compounded monthly for a 5 year term. The first
payment is due at the end of one month. Calculate the monthly
payment.
Solutions
Expert Solution
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Gustav owns a perpetuity which pays 200 per year starting at the
end of year 2. Ingrid owns a perpetuity that pays deposits X at the
end of each 6 months, beginning 6 months from now. Assume a nominal
annual interest rate of 8%. For what value of X is the present
value of the two perpetuities equal.
Charlotte will receive quarterly payments from a
perpetuity, beginning now. The amount of the first payment is 100,
and each subsequent payment is larger than the previous payment by
an amount X. Assuming an interest of 6% convertible monthly, the
present value of this perpetuity is $20,000. Find X.
A perpetuity will make annual payments with the first payment
coming 12 years from now. The first payment is for $4500, and each
payment that follows is $150 dollars more than the previous one. If
the effective rate of interest is 4.8%, what is the present value
of the perpetuity?
PV of a perpetuity of $200 i/rate is 5% ii/ rate is 10% (first
payment is in one year)
200/.05= 4000
200/.10=2000
PV of a perpetuity of $200 i/rate is 5% ii/ rate is 10% (first
payment is now)
PV of a growing (g=2%) perpetuity of $200 i/rate is 5% ii/ rate
is 10% (first payment is in one year)
PV of a growing (g=2%) perpetuity of $200 i/rate is 5% ii/ rate
is 10% (first payment is now)
PV...
Question 1
Part A
What’s the present value of a perpetuity that pays $3000 per
year if the appropriate interest rate is 8%?
Part B
You set up a college fund in which you pay $3000 each year at
the end of the year. How much money will you have accumulated in
the fund after 8 years, if your fund earns 15% compounded
annually?
Part C
What is the effective annual rate (EAR) of 6% compounded
monthly?
Part D
Your...
You are considering two lotery payment options: Option A pays
$20000 today and option B pays $40000 at the end of ten years.
Assume you can earn 8 percent on your savings.
a) Which option will you choose if you base your decision on
present values?
b) Which option will you choose if you base your decision on
future values?
c) Explain why your answers are either the same or
different.
Mike buys a perpetuity-immediate with varying annual payments. During the first 5 years, the payment is constant and equal to 10. Beginning in year 6, the payments start to increase. For year 6 and all future years, the payment in that year is K% larger than the payment in the year immediately preceding that year, where K < 9.2. At an annual effective interest rate of 9.2%, the perpetuity has a present value of 167.50. Calculate K
An investment pays $15,000 every other year forever
with the first payment one year from today.
a.
What is the value today if the discount rate is 8 percent
compounded daily? (Use 365 days a year. Do not round
intermediate calculations and round your answer to 2 decimal
places, e.g., 32.16.)
b.
What is the value today if the first payment occurs four years
from today? (Use 365 days a year. Do not round intermediate
calculations and round your answer...
In a dice game a player first rolls two dice. If the two numbers
are l ≤ m then he wins if the third roll n has l≤n≤m. In words if
he rolls a 5 and a 2, then he wins if the third roll is 2,3,4, or
5, while if he rolls two 4’s his only chance of winning is to roll
another 4. What is the probability he wins?