Question
Using RLM-17BX can you check if I have the write asnwers, my final answer is in EAR INTERNAL RATE OF RETURN Bond Emission Date: 3-Mar-23
Using RLM-17BX can you check if I have the write asnwers, my final answer is in EAR
INTERNAL RATE OF RETURN Bond Emission Date: 3-Mar-23 Nominal Value $ 100,000 N= 1 year I= 30% N.A.Quarterly Buy on: 3-Aug-23 New Price: $99,000 What is the new IIR? 49.03% EA I = 100,000 * 30% * 90 / 360 I = $7,500 0= -PV +CF/(1+r)+$7500/(1+r)+7500(1+r)^2+7500/(1+r)^3+107500/(1+r)^3 F(0)= -99000 (1) F(1)=7,500 (1) F(2)=0 (2) F(3)=7500(1) F(4)= 107500 (1) IRR = 3.3807%% * 12 = 40.5684% NA 49.03% NA Q
CD Emission Date: 9-Sep-20 Nominal Value: $ 1,500,000 N= 2 years I= 22% N.A. Semi-annual Buy on: 9-Aug-21 New Price: $1.505.500 What is the new IIR? 34.69% %EA I = 1500,000*22%*180/360 I = 165000 PV = $1,505,500 N =2 PAR VALUE: $5,000,000 N: 3 years COUPON RATE: 19% N.A.: Quarterly CD Emission Date: Sep-18-2020 Buy on: Oct-18- 2022 Opportunity Rate: 20% EA F(0)= -1,505,500.00 (1) F(1)= 165, 000 (1) F(2)= 0 (5) F(3) = 165,000 (1) F(4) = 0 (5) F(5) = 1,665,000.00 (1)
Sum = 489,500.00 IRR = 2.51% * 12 = 30.15% NA 12 CY 34.69% EFF
3T-Bill Emission Date 15-May-22 Nominal: $ 102,000 N= 3 years I= 15% N.A. per year Buy on: 15-Jun-23 New Price: $ 101,500 What is the new IIR? 16.07 % EA I = 102,000 * 15% * 360/360 I = 15,300 PAR VALUE: $3,250,000 N: 5 years COUPON RATE: 25% N.A.: Semi-annual T-Bill Emission Date Nov-7-2022 Buy on: June-7-2024 Opportunity Rate: 24% EA RLM-17BX calculator: PAR VALUE: 3250000 N: 5 COUPON RATE: 25 N.A.: S T-Bill Opportunity Rate: 24 F(0) = -101,000 (1) F(2) = 0 (10) F(3) = 15,300 (1) F(4) = 117,300 (1) 15% NA 16.07% EAR
Using RLM-17BX can you tell me if I have the right answers PAR VALUE $ 10,000,000 N= 2 years COUPON RATE 15% N.A. Semi-annual Bond Emission Date: Aug-23-24 Buy on: Apr-23-25 Opportunity Rate 14% EA What is the new NPV? $10,419,070.89 Step 1: Coupon Payment (C) = (Coupon Rate / 2) * Par Value Coupon Payment = (15% / 2) * $10,000,000 = $750,000 (semi-annual) Step 2: The bond has 2 years or 4 semi-annual periods. Discount Rate (Opportunity Rate) = 14% annually or 7% semi-annually PV of Coupon Payments = Coupon Payment * [1 - (1 + r)^-n] / r Where r = discount rate per period and n = number of periods PV of Coupon Payments = $750,000 * [1 - (1 + 7%) ^-4] / 7% PV of Coupon Payments $2,643,776.49 Step 3: Par Value = $10,000,000 at the end of the second year Discount Rate (Opportunity Rate) = 14% annually or 7% semi-annually PV of Par Value = Par Value / (1 + r) ^n PV of Par Value = $10,000,000 / (1 + 7%)^4 PV of Par Value $7,775,294.40 Step 4: Total PV = PV of Coupon Payments + PV of Par Value Total PV $2,643,776.49 + $7,775,294.40 Total PV $10,419,070.89
2. PAR VALUE $ 5,000,000 N= 3 years COPUPON RATE 19% N.A.Q CD Emission Date: Sep-18-2020 Buy on: Oct -18- 2022 Opportunity Rate 20% EA What is the new NPV? $5,389,634.26 Given Information: Par Value = $5,000,000 Number of Periods(n)= 3 years Coupon Rate = 19% annual Opportunity Rate = 20% annually Step 1 Coupon Payment (C) = Coupon Rate * Par Value Coupon Payment = 19% * $5,000,000 = $950,000 (annual) Step 2: The bond has 3 years or 3 annual periods. Discount Rate (Opportunity Rate) = 20% annually PV of Coupon Payments = Coupon Payment * [1 - (1 + r)^-n] / r Where r = discount rate per period and n = number of periods PV of Coupon Payments = $950,000 * [1 - (1 + 20%)^-3] / 20% PV of Coupon Payments $2,550,115.74 Step 3:. Par Value = $5,000,000 at the end of the third year Discount Rate
(Opportunity Rate) = 20% annually PV of Par Value = Par Value / (1 + r)^n PV of Par Value = $5,000,000 / (1 + 20%)^3 PV of Par Value $2,839,518.52 Step 4: Total PV = PV of Coupon Payments + PV of Par Value Total PV $2,550,115.74 + $2,839,518.52 Total PV $5,389,634.26
3. PAR VALUE $ 3,250,000 N= 5 years COUPON RATE 25% N.A. semi-annual T-Bill Emission Date Nov-7-2022 Buy on: June-7-2024 Opportunity Rate 24% EA What is the new NPV? $3,829,191.49 Step 1: Calculate the semi-annual coupon payment. Coupon Payment (C) = (Coupon Rate / 2) * Par Value Coupon Payment = (25% / 2) * $3,250,000 = $406,250 (semi- annual) Step 2: The bond has 5 years or 10 semi-annual periods. Discount Rate (Opportunity Rate) = 24% annually or 12% semi-annually PV of Coupon Payments = Coupon Payment * [1 - (1 + r)^-n] / r Where r = discount rate per period and n = number of periods PV of Coupon Payments = $406,250 * [1 - (1 + 12%)^-10] / 12% PV of Coupon Payments $2,434,435.64 Step 3: Par Value = $3,250,000 at the end of the fifth year Discount Rate (Opportunity Rate) = 24% annually or 12% semi-annually PV of Par Value = Par Value / (1 + r)^n PV of Par Value = $3,250,000 / (1 + 12%)^10 PV of Par Value $1,394,755.85 Step 4: Total PV = PV of Coupon Payments + PV of Par Value Total PV $2,434,435.64 + $1,394,755.85 Total PV $3,829,191.49
Thank you!
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